diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 6aa487b..2e294af 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -13,7 +13,7 @@ repos: - id: conventional-commits - repo: https://github.com/charliermarsh/ruff-pre-commit - rev: "v0.1.3" + rev: "v0.1.5" hooks: - id: ruff args: [--fix, --exit-non-zero-on-fix] @@ -43,7 +43,7 @@ repos: name: isort (python) - repo: https://github.com/psf/black - rev: 23.10.1 + rev: 23.11.0 hooks: - id: black-jupyter language_version: python3.9 diff --git a/Makefile b/Makefile index cfd6545..153b94f 100644 --- a/Makefile +++ b/Makefile @@ -7,7 +7,7 @@ init: rm -rf .venv $(PYTHON_VERSION) -m venv .venv @$(PIP) install --upgrade pip - $(PIP) install -e .[dev] --quiet + $(PIP) install -e .[dev] @$(PRE_COMMIT) install @$(PRE_COMMIT) autoupdate sudo chmod +x .git/hooks/pre-commit diff --git a/rustlib/src/lib.rs b/rustlib/src/lib.rs index 157a6a9..73acc83 100644 --- a/rustlib/src/lib.rs +++ b/rustlib/src/lib.rs @@ -1,81 +1,45 @@ -use numpy::{PyArray2, ToPyArray}; use pyo3::prelude::*; use ndarray::Array2; +use ndarray::ArrayBase; +use ndarray::OwnedRepr; +use ndarray::Dim; use num_complex::Complex64; use rayon::prelude::*; +use numpy::{PyArray2, ToPyArray}; -fn dag(matrix: &Array2) -> Array2 { - matrix.mapv(|elem| elem.conj()).reversed_axes() +fn dag(op: &Array2) -> Array2 { + op.t().mapv(|elem| elem.conj()) } - #[pyfunction] -fn apply_error_channel_rust( +fn apply_operators_in_place( py: Python, state: &PyArray2, num_steps: usize, - kraus_operators: Vec<&PyArray2>, + operators: Vec<&PyArray2> ) -> PyResult { let mut new_state = state.to_owned_array(); - let kraus_ops: Vec> = kraus_operators + let ops: Vec> = operators .iter() .map(|&op| op.to_owned_array()) .collect(); - for _ in 0..num_steps { - let temp_state: Array2 = kraus_ops.par_iter() - .map(|e| { - let e_dag = dag(e); - e.dot(&new_state).dot(&e_dag) - }) - .reduce_with(|a, b| a + b) - .unwrap_or_else(|| Array2::::zeros(new_state.dim())); - - new_state = temp_state; - } - - Ok(new_state.to_pyarray(py).to_owned().into()) -} - - -#[pyfunction] -fn apply_error_channel_with_unitary( - py: Python, - state: &PyArray2, - num_steps: usize, - kraus_operators: Vec<&PyArray2>, - fractional_unitary: Option<&PyArray2>, -) -> PyResult { - let mut new_state = state.to_owned_array(); - let kraus_ops: Vec> = kraus_operators - .iter() - .map(|&op| op.to_owned_array()) - .collect(); + let dags: Vec> = ops.iter().map(|op| dag(op)).collect(); for _ in 0..num_steps { - // Apply the fractional unitary if it's provided - if let Some(frac_unitary) = fractional_unitary { - let frac_unitary_array = frac_unitary.to_owned_array(); - new_state = frac_unitary_array.dot(&new_state).dot(&frac_unitary_array.t().mapv(|elem| elem.conj())); - } + let temp_states: Vec> = ops.par_iter().zip(dags.par_iter()) + .map(|(op, op_dag)| op.dot(&new_state).dot(op_dag)) + .collect(); - // Apply the error channel - let mut temp_state = Array2::::zeros(new_state.dim()); - for e in &kraus_ops { - let e_dag = dag(e); - temp_state += &e.dot(&new_state).dot(&e_dag); - } - new_state = temp_state; + let sum_state: Array2 = temp_states.into_par_iter().reduce_with(|a, b| a + b).unwrap(); + new_state = sum_state; } Ok(new_state.to_pyarray(py).to_owned().into()) } - - #[pymodule] fn _lib(py: Python, m: &PyModule) -> PyResult<()> { - m.add_function(wrap_pyfunction!(apply_error_channel_rust, m)?)?; - m.add_function(wrap_pyfunction!(apply_error_channel_with_unitary, m)?)?; + m.add_function(wrap_pyfunction!(apply_operators_in_place, m)?)?; Ok(()) } diff --git a/src/notebooks/noisy_simulation/00_basic_fidelity.ipynb b/src/notebooks/noisy_simulation/00_basic_fidelity.ipynb index affc086..06301e3 100644 --- a/src/notebooks/noisy_simulation/00_basic_fidelity.ipynb +++ b/src/notebooks/noisy_simulation/00_basic_fidelity.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -42,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -75,12 +75,12 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -110,12 +110,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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suVhnz54F4LHHHrtnfLlZtGgRn3zyCSdOnCAjI8NUXrly5ftq78KFC2i1WrMrhQC8vLxwcXHhwoULZuWVKlXK1ka5cuVynJv1X3Xr1uWxxx7j22+/Nc2hWr58OW5uboSEhJjq7dixgwkTJrBz505SUlLM2khISHjgKxuzkpf+/fvnWichIYFy5crluM3NzY22bduyatUqpkyZAmR+wVhYWJhdWTV58mQ6d+5M9erVeeyxxwgNDaVfv37UrVv3geLPTVJSEoBprs3p06c5fvx4rolEXnMEjUYjM2bM4MsvvyQyMtI0jw8y50hl0Wq19OnTh9mzZ5OSkoKdnR3Lli3DxsaG559//r7O48KFC1SrVs2UrGWpVauWafvd7vd3vzjl9F4ppahWrVqO9bM+e/P7GRIXF8ekSZNYsWJFtvf57j84atasSePGjVm2bBmDBg0CYNmyZTRt2jTbZ8KjSJIlcU+NGzdm5syZfPPNN7zxxht88MEH9O3blwEDBtzzwz4tLY0ePXqQnp7OihUrTH9F5UdsbCxLly5lwYIFHDlyBE9PT9544w1eeumlBz2lbH799Vcg8y+v06dP3/eHrtFoxMPDw+yv67sV1l+9S5cuJTw8nC5duvDGG2/g4eFhmkSb9SF6v/K7UKVOp8uxXP1nwntu+vbty5gxY/jnn3+oWLEiW7Zs4YUXXsDCIvNj6ezZs7Rt25aaNWvy6aef4uvri5WVFb/88gufffZZnj0+uZ3D3V/0gKmNjz76iPr16+e4z71+Z3v27MmAAQM4cOAA9evXZ9WqVbRt2xY3NzdTnZYtW3L27Fl+/PFHNm3axLx58/jss8+YM2dOrksoPIgjR46g0+lMv8dGo5E6derw6aef5ljf19c317bee+89xo0bx8CBA5kyZQqurq5otVpGjhyZ7T0ICwvjo48+4ocffqBXr14sX76cZ5555qEt13F3L0ppceTIEQBTQmI0GtFoNGzYsCHH/8cK8hkK0L17d/766y/eeOMN6tevj4ODA0ajkdDQ0BzfvxEjRnD58mXS0tL4+++/TRcpPOokWRL3ZG9vzyuvvMIrr7zCvn37mDdvHgsWLGD69Ok8/vjjDBgwgN69e+Pq6ppt39GjR7N//35mzJhBgwYN7nksvV7PL7/8woIFC1i/fj1Go5GQkBAmT57MM888UyRrkRw6dIjJkyebvvAGDx7M4cOHs33AG41Gzp07Z+pNAjh16hSA6Sq1KlWq8Ntvv9G8efM8P7irVKkCZH5Q5vVXW25f+qtXryYgIMC0yGOW/65RU5AVuv38/DAajZw+fdr0lztkXvUVHx+Pn59fvtvKj169ejF27FiWL1+On58fBoPBbAjup59+Ii0tjXXr1pn1YuU1ZJQlqycoPj7erPy/PRFZ74OTk1O+eiFz0qVLF1544QXTUNypU6cYO3Zstnqurq4MGDCAAQMGkJSURMuWLZk4cWKhJ0sXL15k27ZtBAcHm3orqlSpwsGDB2nbtm2BV21fvXo1Tz75JN98841ZeXx8vFlCCJm9HA0aNGDZsmVUrFiRixcv8sUXX9z3ufj5+XHo0CGMRqNZ79KJEydM20szg8HA8uXLsbOz44knngAy3yulFJUrVzb7rPmvuz9DcvvdvXnzJhEREUyaNInx48ebynMbDu7ZsyejRo3i22+/5fbt21haWpoNJz/KZM6SKJDHH3+cL7/8kqioKBYtWoSDgwOvvvoqPj4+dO/enWvXrpnqrl27lpkzZ/K///0v1zlAd5s4cSIVK1akc+fOHDx4kPHjx3PhwgXWr19P165diyRRysjIIDw8HB8fH2bMmMHChQuJiYnhtddey7H+3X9lKaWYOXMmlpaWtG3bFsj8K85gMJiGZO6m1+tNX95PPfUUjo6OTJs2jdTUVLN6d/fM2Nvb5zg3J+svzrvr7tq1K9vlvXZ2dkD2pCEnTz/9NEC2FcOzeiM6dux4zzYKolKlSrRo0YKVK1eydOlSKleubDb/LadzTEhIYMGCBfdsO+uL5O75bQaDga+//tqsXsOGDalSpQoff/yxaTjkbnf/PufGxcWFkJAQVq1axYoVK7CysqJLly5mde6+TBsyeweqVq1qdtl+QkICJ06ceKC5WHFxcfTq1QuDwcD//d//mcq7d+/OlStXmDt3brZ9bt++TXJycq5t6nS6bL2F3333HVeuXMmxfr9+/di0aRPTp0+nfPnydOjQ4T7PJvN3Mjo62mxOmF6v54svvsDBwYFWrVrdd9vFzWAwMHz4cI4fP87w4cNxcnICMufB6XQ6Jk2alO11V0qZfpcef/xxKleuzPTp07P9/521X07/D0H2/8ezuLm50aFDB5YuXcqyZcsIDQ3NlhA/qqRnSdwXW1tbwsLCCAsL4/Tp03zzzTcsWrSIK1eu4O7uTlRUFIMGDUKn09G2bVuWLl2aYztVqlQhODgYgBUrVvDkk08yaNCg+/oL+L8SEhJyPW7WhMV3332XAwcOEBERgaOjI3Xr1mX8+PG88847PPfcc6YEAsDGxoaNGzfSv39/goKC2LBhA+vXr+ftt982Da+1atWKF154gWnTpnHgwAGeeuopLC0tOX36NN999x0zZszgueeew8nJic8++4zBgwfTuHFjevfuTbly5Th48CApKSmmdWQaNmzIypUrGTVqFI0bN8bBwYFOnTrxzDPPsGbNGrp27UrHjh2JjIxkzpw5BAYGmn3p29raEhgYyMqVK6levTqurq489thjOc5zqFevHv379+frr78mPj6eVq1asXv3bhYtWkSXLl148sknH+j9yO19GDp0KFevXjX7cofMhNLKyopOnTrxwgsvkJSUxNy5c/Hw8CAqKirPdmvXrk3Tpk0ZO3YscXFxuLq6smLFCvR6vVk9rVbLvHnz6NChA7Vr12bAgAFUqFCBK1eusGXLFpycnPjpp5/ueR49evSgb9++fPnll4SEhGSbcBsYGEjr1q1p2LAhrq6u/PPPP6xevdrsgoG1a9cyYMAAFixYkK97s506dYqlS5eilCIxMZGDBw/y3XffkZSUxKeffkpoaKipbr9+/Vi1ahUvvvgiW7ZsoXnz5hgMBk6cOMGqVav49ddfadSoUY7HeeaZZ0w9r82aNePw4cMsW7Ys2/y9LL179+bNN99k7dq1vPTSSw/0R87QoUP56quvCA8PZ+/evfj7+7N69Wp27NjB9OnTi2T9o/9KSEgw9Y5lrb01c+ZMXFxccHFxMXsP82oj67MoJSXFtIL32bNn6dmzp9kfV1WqVOHdd99l7NixnD9/ni5duuDo6EhkZCRr165l6NChjB49Gq1Wy+zZs+nUqRP169dnwIABeHt7c+LECY4ePcqvv/6Kk5MTLVu25MMPPyQjI4MKFSqwadMmIiMjc401LCyM5557DiDHP/oeWcVyDZ4okzIyMlRqaqpS6t9LtO/1uPsS5bzWaCqovJYOyPq137t3r7KwsMi2krher1eNGzdWPj4+pkty+/fvr+zt7dXZs2dN69V4enqqCRMmZLusWimlvv76a9WwYUNla2urHB0dVZ06ddSbb76prl69alZv3bp1qlmzZsrW1lY5OTmpJk2aqG+//dbsNendu7dycXFRgGkZAaPRqN577z3l5+enrK2tVYMGDdTPP/+s+vfvn22pgb/++ks1bNhQWVlZmV0indM6SxkZGaZlGywtLZWvr68aO3as6X3NktNl3lmve0FW0o6Li1PW1tYKUMeOHcu2fd26dapu3brKxsZG+fv7qw8++EDNnz8/2+XbOR337Nmzql27dsra2tq0HtTmzZuzrbOklFL79+9X3bp1U+XLl1fW1tbKz89Pde/eXUVEROTrPBITE5WtrW22y9yzvPvuu6pJkybKxcVF2draqpo1a6qpU6dmW3cLUAsWLLjn8e7+XdZqtcrFxUU1aNBAjRgxQh09ejTHfdLT09UHH3ygateuraytrVW5cuVUw4YN1aRJk0zrMSmV89IBr7/+uvL29la2traqefPmaufOnXm+108//bQC1F9//XXPc7n7uDn9TsXExKgBAwYoNzc3ZWVlperUqZPtNcpaOuCjjz7K9/Gy3GvpgKy2c3rkZ3X9/34WOTg4qGrVqqm+ffuqTZs25brf999/r5544gllb2+v7O3tVc2aNdUrr7ySbY26P//8U7Vv3145Ojoqe3t7VbduXfXFF1+Ytl++fFl17dpVubi4KGdnZ/X888+rq1ev5nrOaWlpqly5csrZ2TnbsiaPMo1S+ZyNKcQjLDw8nNWrV+c4VCOEMNe1a1cOHz7MmTNnijsUUUB6vR4fHx86deqUbZ7ao0zmLAkhhCg0UVFRrF+/nn79+hV3KOI+/PDDD1y7du2e6+E9amTOkhBCiAcWGRnJjh07mDdvHpaWlrzwwgvFHZIogF27dnHo0CGmTJlCgwYNSvXk+aIgPUtCCCEe2LZt2+jXrx+RkZEsWrQILy+v4g5JFMDs2bN56aWX8PDwyNcNsR81MmdJCCGEECIP0rMkhBBCCJEHSZaEEEIIIfIgE7wLgdFo5OrVqzg6Oj7wQopCCCGEeDiUUty6dQsfH59sN2y+myRLheDq1at53ohSCCGEECXXpUuXqFixYq7bJVkqBFlL7l+6dMl0fx8hhBBClGyJiYn4+vre89Y5kiwVgqyhNycnJ0mWhBBCiFLmXlNoZIK3EEIIIUQeJFkSQgghhMiDJEtCCCGEEHmQZEkIIYQQIg+SLAkhhBBC5EGSJSGEEEKIPEiyJIQQQgiRB0mWhBBCCCHyIMmSEEIIIUQeJFkSQgghhMhDqUqWtm/fTqdOnfDx8UGj0fDDDz/cc5+tW7fy+OOPY21tTdWqVVm4cGG2OrNmzcLf3x8bGxuCgoLYvXt34QcvhBBCiFKpVCVLycnJ1KtXj1mzZuWrfmRkJB07duTJJ5/kwIEDjBw5ksGDB/Prr7+a6qxcuZJRo0YxYcIE9u3bR7169QgJCSE2NraoTkMIIYQQpYhGKaWKO4j7odFoWLt2LV26dMm1zltvvcX69es5cuSIqaxnz57Ex8ezceNGAIKCgmjcuDEzZ84EwGg04uvry6uvvsqYMWPyFUtiYiLOzs4kJCTIjXSFEKKsUgqMBkDdeWpEGRVGpcj8Twc6yzt1jaBPzayjFEpl1s/aF60lWNreqWpEpd3KrJt1nLvpLFGWDpDVRkrcv+2YhadQOiuUtZOpHU1K7H/q3PVvnRXKxsX0XJsUk9mu8c753b2fzhJl52Z6rrkVnXmOOdFZYrRzR91pQZsUjTIaMvf7z7kZdZYY7T3viiEaDOnZmjQ4eOPp4oClrnD7ePL7/W1RqEctYXbu3Em7du3MykJCQhg5ciQA6enp7N27l7Fjx5q2a7Va2rVrx86dO3NtNy0tjbS0NNPzxMTEwg1cCCGyGPRgSAN9GhgyUIZ00tPTuJ2aSlpaKvpyVcDCBgDtzUg0cedIT08jIyOdjPR09BnpaJQejdHAtQptybB2RW80Yhe7H+fYXRj0eowGPRplQKv0aJQRrTJwyOd5rlv6kK434hO3i1o3Nt3ZZkSDIfOnMoAy8mv5fpy3qobeYKRW8h7axa9Cg7pT15j5paqMaJRiuUM4R6zrAlAvbS99b82/U0fd9TPzMc8mnL8smwJQP+MAo2/PQAN36pF5DDK/sGdZhLFe1wajUtQ1HOUzw/vAv21l3lM+89/T6cNS9TRGpaitTvOtdjyaO1/sGkCr+fcL/TP9c3xu6IZSUF1ziU3Wb5m2abLq33k+R9+J9/W9APDVxPCH9Wu5vq2L9O2ZoB8AgBsJ/GPzUq51v9O35A39iwDYkcoxm4G51v3Z0JRhGcPvPFOct+mTa90IQwMGZbxhen7Cuj82mowc6+40BNIr4x3T833WQ3HVJOVY94CxCl3Sp5ie/2k9nIqa6znWPWmsSEj6h6bnv1mNpqr2arZ6Qakz+fb1rgS4O+R6PkWpTCdL0dHReHp6mpV5enqSmJjI7du3uXnzJgaDIcc6J06cyLXdadOmMWnSpCKJWQhRghn0kJEM6SmQngzlq6CAxFQ9t87+TWr0KQxpKWgNt9EZ0tDqb6MxpGJIu82Oyq9yLc2ChJR0Ho9aQe1bf2JhTMdCpWOhMtAZ0tCpDHTGdAbbTueS3gWAEfoF9DL+ZApBA1jfeQC0TfuIs6oCAK9ZfMcIi7W5ht9ph+KwCgDgRd06xliuyLXu1DOV2aVqARCm20tfy59zrfvx9SC2Gu0BcNCdJdByb651Y2KusMfoC4CHNhZ/q3O51r0VH8cpY+YXckVtIh5WN3Ktm3o7mShDKgBJ2jQcrFJyrWvISCfJoAcgQ2PEwjqXHhKAO71CpUf2YI1Kk2MNhQbtXZv06NArg2mbWRsaLbq7KuuxIF3lnELoscBSl1lXgwY9FqQpy5zraiyw0mnJOly6xorUHOpaWWjRaDTZyh+WMp0sFZWxY8cyatQo0/PExER8fX2LMSIhRL7FRcKtKEhNIDnxBvFx10hKuAlpiVjoU9hfZxxoNKTrjVQ/OI3K17ZiaUjG2ngba8yHB1pbfcvVlMy6H1nM4XmL7bketsfxJ7iGCwCVLU5S1WJ/rnVjbiYQrTJ7i+ItMH1SG5WGDCxIxyLziw0dVjot1nf6Nm5oynNMVcaotUBpdCiNBUatBQaNBQZ0+JbzQGfhgoVWg1b/GH+mhaDRWqDR6jBq7jzQYtToqO8aSBU7X6x0WvzSnuSPRDvQZG5TGu2d9rVotTrauz9BS/uKWOo0ON52Zke8f2YfjkaHQoNOp0Or1aHVaenmWpdOdpl/oFql+rI7oR6gQavTodVq0ep06LRa0Gjo6ejPs7aZQz+69FocufUEWp0OjVaDVqNFq9GiNJl1e9t60sPGBY0GLAyNiLwdglZ7p+9HowGNlqy+oD62LvS1dkSr0aAxNicqtdO/9e7U0WhAq9HQx8qOvlYOmZuMBm6kd73zLmV+cWu1me1qNRp6WVjRy+JOGquMJGR0u1NHg0aTWUdz5zjdNTq6m4bsFKkqs65Gg6lO1nE6azR01mgztymFni6ZiUMOycPTQOSd4szkIiHXycntAPNUNSaXmtAcOGtWciHXuo2A02YlHXKtWxs4lY+6f+TawsNRppMlLy8vYmLM3/yYmBicnJywtbVFp9Oh0+lyrOPl5ZVru9bW1lhbW+e6XQhRxIwG0OpMc0E4+ztcO4Em5QZpibEkx8eScesGmttxaDOSecVtoemL5c2bE2iUtgsA+zuPuz19sgNpWAHwieUlGumyDwkYlIZkbEhITCCdzHkOkTp//tEloNfakKaxJl1jRRrWpGuswdKGlgG+2DiWo5ydFfZp/dh8+0n0WisMdx5W1jbY2Npia2PHJ+5VsbW1A0Cjb8RRPkZpLbCxssbexgJ7awucrCzQaTVsMIss9y8lgCZmz5oBr+Zat43Zs9pA15wrZuMPPJHPut5A3XzWdQMC8lnXGfC8Z61MdnAnic1//fwqyPdEmf46LvXK9LsTHBzML7/8Yla2efNmgoODAbCysqJhw4ZERESYJoobjUYiIiIYNmzYww5XCHGHUorE41vQXj+BNikabXIM2qRojInRkByLVn+bLk6rOB2bhN6omGv5Me11+wCwufO426EL0aTe+eI6bOGCq9aLROxJVHakWzigbJzRWziQorWnRUU3MrTWWGg1XLR+ge9sBuDkXA7Xcq7YODhhtLBD6axBo2GRBsrZWeHuaI2NZcc8z6mb2bMaBXg1nAtQVwhRFEpVspSUlMSZM2dMzyMjIzlw4ACurq5UqlSJsWPHcuXKFRYvXgzAiy++yMyZM3nzzTcZOHAgv//+O6tWrWL9+vWmNkaNGkX//v1p1KgRTZo0Yfr06SQnJzNgwICHfn5ClHlGIyRegfgLEH/R9FDxF0hPvM73TVax63wcuyPjmJzyrikBysnF6Fj0ZF5NtMtYi1SsuKGciMMJja0rts7uOJf3oLy7N5961AaN7s6ejxNpocXX1Y4a5eywtdKZtftsUZ27EKLUKlXJ0j///MOTTz5pep41b6h///4sXLiQqKgoLl68aNpeuXJl1q9fz2uvvcaMGTOoWLEi8+bNIyQkxFSnR48eXLt2jfHjxxMdHU39+vXZuHFjtknfQoh8UgpuRcP1U5lJ0eNhKKU4HZuE1are+N/IPq8na9Ly+z/sIvHOwNgeXQ2M6IjBhVhVjhhVjhRrd1w8KlKhQiU+8a9M7QouOFhbAO1Nbdla6bCx1GU7hhBC3K9Su85SSSLrLIlH2uW9cPEv0qKOcuviYRxuncPG+O+VSG9X/5k/LmdwKe42Ey0W0kcXwWXlxiXlwWXlxmXlzmXlzjWtO5qKDWkU4ElQQHker1QuW6+PEEIUJllnSQhReIyGzJ6iqIMQfRjavAOWtqTrjcT8/jW+51aYXc6uV1ouKXfOKh+2HIokivJYWWjZWXkYFrXep3l1L2pY6cxm7rjYWWJtIcmREKLkkWRJCJHdrWi4sAOu7ENd2YvhykEsDP/2Fj2/w4ejVEFvUIQoN0J0QZw2ViTFpRoVqjcgzdEfozbzsugwIMDdnhbV3LCzko8cIUTpI59cQjzqjAaIOQIulcC2XGbZwW/ht4lA5nwiCyBZWXNEVeaY0Y8bBitS7ixe97fjk3g36EvXBhWo5S3D0EKIskeSJSEeNUYjxB6FyD/g/J/oI//AIj2RMZqR/KppDkA9pWO0CmCfoQqHVADnLGsQ3LQpXR6vRDtLHXffRMjHxdZsZV8hhChrJFkS4lERdw62fQhnIiD535trWgC3lC0WGQncNGTeF2orVdjKu/iXt2PQE5WZ3LCiDKEJIR5Z8uknRFmkFFw7gdKnsj2pImdik7BPjaHnwW8BSNfY8LehOn8ZAvlbBVKrQQv6NKtCf4t/b4yg02rwK28vvUZCiEeeJEtClBVKweU9cOxHOLEebkZyxLYJ/W+ONFU5p+vFYRXAXmN10rGkbU0PPuxQk+qejsUXtxBClHCSLAlR2l09AEe+h6M/QMK/i7KmYcnlJIWlDtoHemGp0xLDC3gAXSy0dG1QkeAq5YsraiGEKDUkWRKilFJKsf30dWpuGIXnzb0AZOjs2GsTzMKbddhurEtABQ/WPVdPrlITQogHIMmSEKWFPi1zeO3gClKfmcX//XqV7/dd5nldQ1prdfxkaMYWY33Skq2w1GkY8VQ1XmhVBUud9t5tCyGEyJUkS0KUdPGX4J/5sG8xpFwHYMncj/n+eku0Goir1p11uh4AtAYcrC0Z0rIyNb2kN0kIIQqDJEtClERKwbmtsHsunNoAyghAur03S243Z/GNGjjbWjKzdwNaVHMv3liFEKKMk2RJiBIoLvo8zkueRUfmKtnHbBoQ4fg/voyqzm29hmoeDiwJa4S/m30xRyqEEGWfJEtClATpKRC5HWqEcu1WGr2/vUi4vjV6tCw2PMXZ1AoQn1m1faAnn/Woj4O1/O8rhBAPg3zaClGcMlIz5yP9+SkkXyMu/E96r4njdGwSnzu9zIi21XnhrkUh3RytaF3dA60sFCmEEA+NJEtCFAd9OuxfDNs/gVtXATA4V+K9VVs4HVcFb2cbvh3SVIbZhBCiBJBkSYiHSSk48j2GzRPRJV4CIMPBh6h6wxl8sBqn4tLwdrZhxdCm+JWXREkIIUoCSZaEeJhSE0hbNwrrjARilAuz9J1Zcb0N6RGWQBo+zjZ8K4mSEEKUKJIsCVHUbsWAgwdoNGy/lMGGlOdxJZEfrDuTZmlD1mpIld3s+OT5+lQqb1es4QohhDAnyZIQRcWgh7+/hK3ToNtczrm1ZtjyfSQa2vBcw4r8+VxdNBqZqC2EECWdJEtCFIUre+GnERB9GID0o+sYfN6BxFQ9Df3KMbXrY5IoCSFEKSHJkhCFKe0WREyB3V8DCmxcMLSfwuADNTh3/To+zjbM6dsQawtdcUcqhBAinyRZEqKwXNxFxurBWCZeBGC3U3vWur/M2X9s2R15HVtLHXP7N8Ld0bqYAxVCCFEQkiwJUUj0SdewTLzIZeXGmIwh/BlbB2JvA7cB+LR7PWr7OBdvkEIIIQpMkiUhHkTGbbC0BeCLK9W5mjGUnVbNGPh0fdreNSWpbkUXGvqVK6YghRBCPAhJloS4X/uXwu9TYcjvHLllx6wtZ9AbW/NFlwZ0qudT3NEJIYQoJJIsCVFQGbfhlzdg/xIA9Hu+4fVDLdEbFR3reEuiJIQQZYwkS0IURNw5WBV2Z0kADTz5f3ya0pGTMZGUt7dicufaxR2hEEKIQibJkhD5depX+H4IpCWAnRs8O4/9lvWZM/svAKZ2rUN5B7nSTQghyhpJloTIjxO/oFb0QYORg5oajE1/nWsrDNxK/Rujgi71fQh9zKu4oxRCCFEEJFkSIh8SPJsSjS979QGM1w9AjwWQBoCPsw0T/yfDb0IIUVZpizuAgpo1axb+/v7Y2NgQFBTE7t27c63bunVrNBpNtkfHjh1NdcLDw7NtDw0NfRinIkq69GRQCoCZf0XzbOo4FrqOZN3wJ9kwooXp8etrLXGxsyrmYIUQQhSVUtWztHLlSkaNGsWcOXMICgpi+vTphISEcPLkSTw8PLLVX7NmDenp6abnN27coF69ejz//PNm9UJDQ1mwYIHpubW1zDt55CVehSXdoG53LtV+kUV/XSAdO8Z2DCTQx6m4oxNCCPEQlaqepU8//ZQhQ4YwYMAAAgMDmTNnDnZ2dsyfPz/H+q6urnh5eZkemzdvxs7OLluyZG1tbVavXDlZPPCRduMszA+Ba8dh91xmbNhPusFI86rlaV3dvbijE0II8ZCVmmQpPT2dvXv30q5dO1OZVqulXbt27Ny5M19tfPPNN/Ts2RN7e3uz8q1bt+Lh4UGNGjV46aWXuHHjRp7tpKWlkZiYaPYQZUTMMVjQAeIvgmsARzt8x+rD8Wg08PbTtdBoNPduQwghRJlSapKl69evYzAY8PT0NCv39PQkOjr6nvvv3r2bI0eOMHjwYLPy0NBQFi9eTEREBB988AHbtm2jQ4cOGAyGXNuaNm0azs7Opoevr+/9nZQoWS7vhYVPQ1IMeD6GGrCBSdtvAdC1QQW5r5sQQjyiStWcpQfxzTffUKdOHZo0aWJW3rNnT9O/69SpQ926dalSpQpbt26lbdu2ObY1duxYRo0aZXqemJgoCVNpF/kHfNsT0pOgYmPo8x2bz6Wx+3wc1hZaRj9Vo7gjFEIIUUxKTbLk5uaGTqcjJibGrDwmJgYvr7zXt0lOTmbFihVMnjz5nscJCAjAzc2NM2fO5JosWVtbyyTwMub8kZ34pydx0rYBX9lMIm1tJHvP3wRg0BOV8XGxLeYIhRBCFJdSkyxZWVnRsGFDIiIi6NKlCwBGo5GIiAiGDRuW577fffcdaWlp9O3b957HuXz5Mjdu3MDb27swwhalQLreSM/DDamb/hrbUuuRdjMeiAegvL0VL7auUpzhCSGEKGalJlkCGDVqFP3796dRo0Y0adKE6dOnk5yczIABAwAICwujQoUKTJs2zWy/b775hi5dulC+fHmz8qSkJCZNmsSzzz6Ll5cXZ8+e5c0336Rq1aqEhIQ8tPMSxeTaSXD0Yv3xW0QnpqJ3eIK321Q1q9KsSnmcbCyLKUAhhBAlQalKlnr06MG1a9cYP3480dHR1K9fn40bN5omfV+8eBGt1nzO+smTJ/nzzz/ZtGlTtvZ0Oh2HDh1i0aJFxMfH4+Pjw1NPPcWUKVNkmK2su3YKFjyNcqnE8uQ3ABjQ3J/+zfyLNy4hhBAljkapO0sUi/uWmJiIs7MzCQkJODnJgoUl3s0Lmeso3YoiybU2za6OJMPSiZ1j28hK3EII8QjJ7/d3qVk6QIhCcfsmLHsebkWBRyBv2k4mEXt6NPaVREkIIUSOJFkSjw59GqzsB9dPglMFzj61iF/OpqHVwMDmlYs7OiGEECWUJEvi0aAUrHsVzv8BVo7QexWz998GoMNj3lQqb1fMAQohhCipJFkSj4bEK3D2d9DooPsiYuyq8uOBKwAMbiG9SkIIIXJXqq6GE+K+OVeEwb/B1f1QtS0LN54gw6Bo4u9Kg0py42QhhBC5k2RJlG1GAzvO3WTDkSgyr/usCqcOs+7gVQCGtAwo1vCEEEKUfJIsibIr6RrGhR1ZfaMTa28/nm1zgLs9bWt6FENgQgghShNJlkTZZNDD6gFor5/kFeMt/rJvTO/gf29botVAhzreaLWaYgxSCCFEaSDJkiibIibC+T9I1djyQsZrdA32Z0S7asUdlRBCiFJIroYTZc/RtfDXFwCMTn+Bs6oCzz5eoZiDEkIIUVpJsiTKlmsn4YdXADjk15+fDU2oW9GZap6OxRyYEEKI0kqSJVF26NNg9SDISAb/FvxfYjcAnn28YjEHJoQQojSTZEmUHUqBXzOwc+N0i884HJWMpU5Dp3o+xR2ZEEKIUkySJVF2WNrA0x/CsD18d1IPwJM1PHC1lxvkCiGEuH+SLInSLy0JjAbTU721C2v3Z97K5NmGMgQnhBDiwUiyJEo3peCHF2FRJ4i/BMAfZ65z7VYa5ewsebKGLDophBDiwcg6S6J0278Ujv8EWktIuQEuvqzZl9mr1Ll+Baws5O8BIYQQD0aSJVF6xV/CuOEttMCZOiO4mOiN/mY0m45GA3IVnBBCiMIhyZIonZTC+PNraDOS2WOsTo9d9THu+se0uZqHA49VcCrGAIUQQpQVkiyJ0unwarRnNpOmLBivXqBOxXKmTRY6La+2qYpGI/d9E0II8eAkWRKlT/IN2PgWAF/ou1KrXiM+7V6/eGMSQghRZsnsV1H6pNxAOXhyTlOJrwydaF/Ls7gjEkIIUYZJsiRKH/fqnO26nr63R6PRWdGiuntxRySEEKIMk2RJlEq/nbrJVdxoWqU8DtYymiyEEKLoyLeMKD1+fxd01tB8BBHHYwBoX0sWnRRCCFG0JFkSpcP1M/DndDBmkOhWj70XMgBoI/OVhBBCFDEZhhOlw69vgzEDqj3FptRAjAoCvZ2o4GJb3JEJIYQo4yRZEiXf6c1w+lfQWkDIe6YhuHaB0qskhBCi6EmyJEo2fTpsHJv576AXSXMJYPupawC0k/lKQgghHgJJlkTJtmcu3DgN9u7Q6k3+PhdHcroBTydrHvNxLu7ohBBCPAIkWRIlV0Yq/PFp5r/bjgcbZ347ljkE16amJ1qt3M5ECCFE0St1ydKsWbPw9/fHxsaGoKAgdu/enWvdhQsXotFozB42NjZmdZRSjB8/Hm9vb2xtbWnXrh2nT58u6tMQ+WFpA4M2QdNXoH4flFL/LhkQKENwQgghHo5SlSytXLmSUaNGMWHCBPbt20e9evUICQkhNjY2132cnJyIiooyPS5cuGC2/cMPP+Tzzz9nzpw57Nq1C3t7e0JCQkhNTS3q0xH3cCX+NttvOLE94DW2n4nju72XuZqQio2llmZV3Io7PCGEEI+IUrXO0qeffsqQIUMYMGAAAHPmzGH9+vXMnz+fMWPG5LiPRqPBy8srx21KKaZPn84777xD586dAVi8eDGenp788MMP9OzZs2hORNxTUux5Qmed5FaaPtu2FtXcsbHUFUNUQgghHkWlpmcpPT2dvXv30q5dO1OZVqulXbt27Ny5M9f9kpKS8PPzw9fXl86dO3P06FHTtsjISKKjo83adHZ2JigoKM8209LSSExMNHuIQnT5H+xnN2C8YSb2VhoCvZ1Mj8crufBy6yrFHaEQQohHSKnpWbp+/ToGgwFPT/O1dTw9PTlx4kSO+9SoUYP58+dTt25dEhIS+Pjjj2nWrBlHjx6lYsWKREdHm9r4b5tZ23Iybdo0Jk2a9IBnJHIVMRmNMqLQ0KleRd5/tm5xRySEEOIRVmp6lu5HcHAwYWFh1K9fn1atWrFmzRrc3d356quvHqjdsWPHkpCQYHpcunSpkCIWnNsKkdvIwIIZ+m40DShf3BEJIYR4xJWaZMnNzQ2dTkdMTIxZeUxMTK5zkv7L0tKSBg0acObMGQDTfgVt09raGicnJ7OHKARKQcRkAJbp23IFd4ICXIs5KCGEEI+6UpMsWVlZ0bBhQyIiIkxlRqORiIgIgoOD89WGwWDg8OHDeHt7A1C5cmW8vLzM2kxMTGTXrl35blMUopO/wJW9GHS2zNR3wa+8Hd7Ocu83IYQQxeu+kqWzZ8/yzjvv0KtXL9Nl+xs2bDCbPF0URo0axdy5c1m0aBHHjx/npZdeIjk52XR1XFhYGGPHjjXVnzx5Mps2beLcuXPs27ePvn37cuHCBQYPHgxkXik3cuRI3n33XdatW8fhw4cJCwvDx8eHLl26FOm5iP8wGiBiCgB/e3bnOs40rSxDcEIIIYpfgSd4b9u2jQ4dOtC8eXO2b9/O1KlT8fDw4ODBg3zzzTesXr26KOIEoEePHly7do3x48cTHR1N/fr12bhxo2mC9sWLF9Fq/83/bt68yZAhQ4iOjqZcuXI0bNiQv/76i8DAQFOdN998k+TkZIYOHUp8fDxPPPEEGzduzLZ4pShiN85CUgzYODMr7WnAIENwQgghSgSNUkoVZIfg4GCef/55Ro0ahaOjIwcPHiQgIIDdu3fTrVs3Ll++XFSxlliJiYk4OzuTkJAg85ceRGoiKZcPUmf+LQxGxY4xbajgIsNwQgghikZ+v78LPAx3+PBhunbtmq3cw8OD69evF7Q5If5l48RuQw0MRoWvq60kSkIIIUqEAidLLi4uREVFZSvfv38/FSpUKJSgxCNEKTj/Z+ZPYFdkHIDMVxJCCFFiFDhZ6tmzJ2+99RbR0dFoNBqMRiM7duxg9OjRhIWFFUWMoiw7+zss7AjzQ8Fo5O9zNwAIkvWVhBBClBAFTpbee+89atasia+vL0lJSQQGBtKyZUuaNWvGO++8UxQxirLsz88yf/o0IDnDyKHLCQAEVZbJ3UIIIUqGAl8NZ2Vlxdy5cxk3bhxHjhwhKSmJBg0aUK1ataKIT5Rll3bD+T9AawnNhrH3wk0MRkXFcrb4utoVd3RCCCEE8AD3hqtUqRKVKlUqzFjEo+aPTzN/1usBzhX5e2fmPf6CZL6SEEKIEqTAydLAgQPz3D5//vz7DkY8QmKOwqkNgAaajwTumtwt6ysJIYQoQQqcLN28edPseUZGBkeOHCE+Pp42bdoUWmCijMuaqxT4P3CrRkq6noOX4gHk5rlCCCFKlAInS2vXrs1WZjQaeemll6hSpUqhBCXKOH1aZs8SwBOjANh3IR69UVHBxZaK5WR9JSGEECXHfc9ZuptWq2XUqFG0bt2aN998szCaFGVYilFHH/URthzi6NxYYBNpegOQeRWcRqMp3gCFEEKIuxRKsgSZN9fV6/WF1Zwow3adi2P/pQTAD8gw29ahjnexxCSEEELkpsDJ0qhRo8yeK6WIiopi/fr19O/fv9ACE2XUtVMcu5AGwFOBnrwZWtO0ydHGAk8nuYGxEEKIkqXAydL+/fvNnmu1Wtzd3fnkk0/ueaWceMQpBavCCL9xmS2a12gaEEhVD4fijkoIIYTIU4GTpS1bthRFHOJRELkdrh1Hgw0nVSXGVHQu7oiEEEKIeyrw7U6EuG+7vwZgtb4FyRo7avtIsiSEEKLky1fPUoMGDfJ9hdK+ffseKCBRRt08Dyd/AWCR4Smqezpia6Ur3piEEEKIfMhXstSlS5ciDkOUeXvmgTJy3iWIs9EVeL6C9CoJIYQoHfKVLE2YMKGo4xBlWXoy7FsMwBrLZwCoK/OVhBBClBIyZ0kUvfN/QmoCqlxllt2oAUCdii7FG5MQQgiRTwW+Gs5gMPDZZ5+xatUqLl68SHp6utn2uLi4QgtOlBHVQ2DYXq5HnefGsjQstBpqejkWd1RCCCFEvhS4Z2nSpEl8+umn9OjRg4SEBEaNGkW3bt3QarVMnDixCEIUZYJbVf6hNgA1vByxsZTJ3UIIIUqHAidLy5YtY+7cubz++utYWFjQq1cv5s2bx/jx4/n777+LIkZRmmXcNv3z0JUEQOYrCSGEKF0KnCxFR0dTp04dABwcHEhIyPwCfOaZZ1i/fn3hRidKt/QU+Kw2rOgDKXEcvpz5u1KngkvxxiWEEEIUQIGTpYoVKxIVFQVAlSpV2LRpEwB79uzB2tq6cKMTpdvxdZByA6IPo2ycOXQ5HpCeJSGEEKVLgZOlrl27EhERAcCrr77KuHHjqFatGmFhYXJvOGFu35LMnw36cvFmKompeqx0Wqp7yuRuIYQQpUe+r4abOXMmffv25f333zeV9ejRg0qVKrFz506qVatGp06diiRIUQrdOAsX/gQ0UL83h85nDsHV8nbEykJWrBBCCFF65Ptb6//+7//w8fGhT58+/P7776by4OBgRo0aJYmSMLd/aebPqm3BuSKH70zuriNDcEIIIUqZfCdL0dHRzJkzh6tXr9K+fXsqV67MlClTuHTpUlHGJ0ojgx4OLM/89+NhAP/OV5LJ3UIIIUqZfCdLtra2hIWFsWXLFk6fPk2/fv345ptvqFy5MqGhoXz33XdkZGQUZayitDizGZKiwc4NqnfAaFQcuZIISM+SEEKI0ue+Jo8EBAQwefJkIiMj2bBhA+XLlyc8PJwKFSoUdnyiNPINgtAPoOVosLAi8kYySWl6bCy1VPNwKO7ohBBCiAIp8O1O7qbRaLCwsECj0aCUkp4lkcnOFZq+aHqatb5SbR9nLHQyuVsIIUTpcl/fXJcuXWLy5MkEBATQvn17rl69yty5c03rLxWlWbNm4e/vj42NDUFBQezevTvXunPnzqVFixaUK1eOcuXK0a5du2z1w8PD0Wg0Zo/Q0NCiPo0yy2hULN55ng83njA9lv59AYA6FWQITgghROmT756l9PR01qxZw/z58/n999/x9vamf//+DBw4kICAgKKM0WTlypWMGjWKOXPmEBQUxPTp0wkJCeHkyZN4eHhkq79161Z69epFs2bNsLGx4YMPPuCpp57i6NGjZkOGoaGhLFiwwPRcFte8f1e/fYVjx2xZZ2hGCjZm2xpUcimeoIQQQogHoFFKqfxUdHV1JSUlhWeeeYZBgwYREhKCVvtwh1SCgoJo3LgxM2fOBMBoNOLr68urr77KmDFj7rm/wWCgXLlyzJw5k7CwzKu0wsPDiY+P54cffrjvuBITE3F2diYhIQEnJ6f7bqfUu3EWvngcvdLS22kRtatXMW1yc7BmaMsALGUYTgghRAmR3+/vfPcsvfPOO/Tr1w93d/dCCbCg0tPT2bt3L2PHjjWVabVa2rVrx86dO/PVRkpKChkZGbi6upqVb926FQ8PD8qVK0ebNm149913KV++fK7tpKWlkZaWZnqemJhYwLMpo458D8AO42O0ejyQV56sWswBCSGEEA8u33/mjxo1qtgSJYDr169jMBjw9PQ0K/f09CQ6Ojpfbbz11lv4+PjQrl07U1loaCiLFy8mIiKCDz74gG3bttGhQwcMBkOu7UybNg1nZ2fTw9fX9/5OqixRCg6tAuBHQzO5pYkQQogy44GuhitN3n//fVasWMHWrVuxsfl3Lk3Pnj1N/65Tpw5169alSpUqbN26lbZt2+bY1tixYxk1apTpeWJioiRM0YfgxmlSlSWbjI0YLksECCGEKCNKzQQSNzc3dDodMTExZuUxMTF4eXnlue/HH3/M+++/z6ZNm6hbt26edQMCAnBzc+PMmTO51rG2tsbJycns8cg7vBqACGMDMiwc8HW1K+aAhBBCiMJRapIlKysrGjZsSEREhKnMaDQSERFBcHBwrvt9+OGHTJkyhY0bN9KoUaN7Hufy5cvcuHEDb2/vQon7kWA0muYrrTM0p6qHAzqtppiDEkIIIQpHqUmWIHPe1Ny5c1m0aBHHjx/npZdeIjk5mQEDBgAQFhZmNgH8gw8+YNy4ccyfPx9/f3+io6OJjo4mKSkJgKSkJN544w3+/vtvzp8/T0REBJ07d6Zq1aqEhIQUyzmWSrdvgnsNUi2c2WqsJ6t0CyGEKFMKPGfJYDCwcOFCIiIiiI2NxWg0mm3//fffCy24/+rRowfXrl1j/PjxREdHU79+fTZu3Gia9H3x4kWz5Qxmz55Neno6zz33nFk7EyZMYOLEieh0Og4dOsSiRYuIj4/Hx8eHp556iilTpshaSwVhXx76rWX88r9IO3STajK5WwghRBlS4GRpxIgRLFy4kI4dO/LYY4+h0Tzc4ZZhw4YxbNiwHLdt3brV7Pn58+fzbMvW1pZff/21kCITR65lXkEoPUtCCCHKkgInSytWrGDVqlU8/fTTRRGPKG3izoGFDQYHb85eyxzelGUDhBBClCUFnrNkZWVF1aqy2KC4Y8s0+DSQ+C2fk6Y3Ym2hlSvhhBBClCkFTpZef/11ZsyYQT7vkiLKMn0anNwAKM5YVgegirtcCSeEEKJsKfAw3J9//smWLVvYsGEDtWvXxtLS0mz7mjVrCi04UcKd2wbpt8DRm3/0VYDTVPeU+UpCCCHKlgInSy4uLnTt2rUoYhGlzfF1mT9rduR0bDKAXAknhBCizClwsrRgwYKiiEOUNkbDnSE4oOYznF6fOblbroQTQghR1tz3veGuXbvGyZMnAahRo0ax3mRXFIOLf0PKdbBxwVCpOWdiM1dWlyvhhBBClDUFnuCdnJzMwIED8fb2pmXLlrRs2RIfHx8GDRpESkpKUcQoSqITP2f+rB7KpYQMuRJOCCFEmVXgZGnUqFFs27aNn376ifj4eOLj4/nxxx/Ztm0br7/+elHEKEqiVm9C16+g8WBOx2YOwcmVcEIIIcqiAg/Dff/996xevZrWrVubyp5++mlsbW3p3r07s2fPLsz4REllWw7q9QTg1JYzAHIlnBBCiDKpwD1LKSkppnux3c3Dw0OG4R5RZ+70LMmVcEIIIcqiAidLwcHBTJgwgdTUVFPZ7du3mTRpEsHBwYUanCih1rwAf06H2zcBOBVzC5Ar4YQQQpRNBR6GmzFjBiEhIVSsWJF69eoBcPDgQWxsbOSmtI+CG2fh0ArQWkDD/hiMSnqWhBBClGkFTpYee+wxTp8+zbJlyzhx4gQAvXr1ok+fPtja2hZ6gKKEyboKzv8JsC3H5RvJpivhKsmVcEIIIcqg+1pnyc7OjiFDhhR2LKI0OH4nWar5DACnYuRKOCGEEGVbvpKldevW0aFDBywtLVm3bl2edf/3v/8VSmCiBLoVDZd3Z/67ZkcATsfema8kV8IJIYQoo/KVLHXp0oXo6Gg8PDzo0qVLrvU0Gg0Gg6GwYhMlzclfAEj1bMCVNCe4lsTBS/GArNwthBCi7MpXsmQ0GnP8t3i0xB1YjyvwxeVqzPpkm9m2qnIlnBBCiDKqwEsHLF68mLS0tGzl6enpLF68uFCCEiVTTKqOFGXNDk0DnG0tTY86FZwJrlK+uMMTQgghioRGKaUKsoNOpyMqKgoPDw+z8hs3buDh4fFIDsMlJibi7OxMQkICTk5OxR1OkRm5Yj+/HLjAayG1eenJasUdjhBCCPFA8vv9XeCeJaUUGk32q54uX76Ms7NzQZsTpciFuBTSscTPTYbchBBCPDryvXRAgwYN0Gg0aDQa2rZti4XFv7saDAYiIyMJDQ0tkiBFCZBwmYs3Mm9nI+spCSGEeJTkO1nKugruwIEDhISE4ODwb++ClZUV/v7+PPvss4UeoCgB4i/B9MdYbqxIR96jUnlJloQQQjw68p0sTZgwAQB/f3969OiBjY1NkQUlSpgzmwFIxA5HO1ucbCyLOSAhhBDi4SnwCt79+/cvijhESXY6M1naaqhPJU/7Yg5GCCGEeLgKnCwZDAY+++wzVq1axcWLF0lPTzfbHhcXV2jBiRJAnwbnMtdU2mqsRxWZrySEEOIRU+Cr4SZNmsSnn35Kjx49SEhIYNSoUXTr1g2tVsvEiROLIERRrC7uhIxkEi3Kc0z54SfzlYQQQjxiCpwsLVu2jLlz5/L6669jYWFBr169mDdvHuPHj+fvv/8uihhFcbozBHfAqiEKrVwJJ4QQ4pFT4GQpOjqaOnXqAODg4EBCQgIAzzzzDOvXry/c6ETxu5Ms/aavC4BfeZmzJIQQ4tFS4GSpYsWKREVFAVClShU2bdoEwJ49e7C2ti7c6ETxUgravIOxQRg/JdUAkGE4IYQQj5wCJ0tdu3YlIiICgFdffZVx48ZRrVo1wsLCGDhwYKEHKIqRRgOB/+Ni8/e5abTH2kKLu4MkxEIIIR4tBU6W3n//fd5++20AevTowR9//MFLL73E6tWref/99ws9wP+aNWsW/v7+2NjYEBQUxO7du/Os/91331GzZk1sbGyoU6cOv/zyi9l2pRTjx4/H29sbW1tb2rVrx+nTp4vyFEqdi3H/rtyt1Wa/1Y0QQghRlhU4Wdq+fTt6vd70vGnTpowaNYoOHTqwffv2Qg3uv1auXMmoUaOYMGEC+/bto169eoSEhBAbG5tj/b/++otevXoxaNAg9u/fT5cuXejSpQtHjhwx1fnwww/5/PPPmTNnDrt27cLe3p6QkBBSU1OL9FxKPH06bP8ILu7iwo0kQIbghBBCPJo0SilVkB10Oh1RUVF4eHiYld+4cQMPDw8MBkOhBni3oKAgGjduzMyZMwEwGo34+vry6quvMmbMmGz1e/ToQXJyMj///LOprGnTptSvX585c+aglMLHx4fXX3+d0aNHA5CQkICnpycLFy6kZ8+e+Yorv3ctLlUu/g3zQ8DOjamBPzL3zwsMbF6Z8Z0CizsyIYQQolDk9/u7wD1LSik0muxDMTdu3MDevuiulEpPT2fv3r20a9fOVKbVamnXrh07d+7McZ+dO3ea1QcICQkx1Y+MjCQ6OtqsjrOzM0FBQbm2CZCWlkZiYqLZo8yJvNNLWLkFF+Iye9mkZ0kIIcSjKN8reHfr1g0AjUZDeHi42ZVvBoOBQ4cO0axZs8KP8I7r169jMBjw9PQ0K/f09OTEiRM57hMdHZ1j/ejoaNP2rLLc6uRk2rRpTJo0qcDnUKrcWbWbyi25+OedOUuSLAkhhHgE5btnydnZGWdnZ5RSODo6mp47Ozvj5eXF0KFDWbp0aVHGWmKMHTuWhIQE0+PSpUvFHVLhSk+By5kT55V/S9MEbz9ZkFIIIcQjKN89SwsWLADA39+fN954Azu7h/vF6ebmhk6nIyYmxqw8JiYGLy+vHPfx8vLKs37Wz5iYGLy9vc3q1K9fP9dYrK2ty/aaUpd2gSEdnCpwzaoCKekn0WigQjnb4o5MCCGEeOgKPGcpLCyMK1euZCs/ffo058+fL4yYcmRlZUXDhg1NazxB5gTviIgIgoODc9wnODjYrD7A5s2bTfUrV66Ml5eXWZ3ExER27dqVa5uPBNN8pVZcunkbAB9nW6wtdMUYlBBCCFE8CpwshYeH89dff2Ur37VrF+Hh4YURU65GjRrF3LlzWbRoEcePH+ell14iOTmZAQMGAJmJ3NixY031R4wYwcaNG/nkk084ceIEEydO5J9//mHYsGFA5vyrkSNH8u6777Ju3ToOHz5MWFgYPj4+dOnSpUjPpUS7vCfzZ+WWXLjx7xpLQgghxKMo38NwWfbv30/z5s2zlTdt2tSUhBSVHj16cO3aNcaPH090dDT169dn48aNpgnaFy9eRKv9N/9r1qwZy5cv55133uHtt9+mWrVq/PDDDzz22GOmOm+++SbJyckMHTqU+Ph4nnjiCTZu3IiNjU2RnkuJ1m8tXD0A5atwYcd1QK6EE0II8egq8DpLzs7ObN26lQYNGpiV7927l9atW3Pr1q1CDbA0KJPrLN3x2soDrN1/hTdDa/By66rFHY4QQghRaIpsnaWWLVsybdo0s8UnDQYD06ZN44knnri/aEWJdeFGMgB+rkW3hpYQQghRkhV4GO6DDz6gZcuW1KhRgxYtWgDwxx9/kJiYyO+//17oAYqH7Nte4OABLd8A54r/Lhsgw3BCCCEeUQXuWQoMDOTQoUN0796d2NhYbt26RVhYGCdOnDCbCyRKoaRrcPIX2LsQLGxIStNzPSkdkAUphRBCPLoK3LME4OPjw3vvvVfYsYjidv6PzJ+ej4G9GxevZt7GxcXOEicby2IMTAghhCg+Be5Zgsxht759+9KsWTPTmktLlizhzz//LNTgxENmWl+pJYCs3C2EEEJwH8nS999/T0hICLa2tuzbt4+0tDQAEhISpLeptMuWLGVO7q5UXiZ3CyGEeHQVOFl69913mTNnDnPnzsXS8t+hmebNm7Nv375CDU48RAmXIe4saHTgl7mOVtaClNKzJIQQ4lFW4GTp5MmTtGzZMlu5s7Mz8fHxhRGTKA5ZvUo+DcAmc62JrGE4mdwthBDiUVbgCd5eXl6cOXMGf39/s/I///yTgICAwopLPGTXb6Wit/RlT2IVVn2zC4B9F24C0rMkhBDi0VbgZGnIkCGMGDGC+fPno9FouHr1Kjt37mT06NGMGzeuKGIUD8HcpGC+uvUBmltG1LXrpnIrnZZqno7FGJkQQghRvAqcLI0ZMwaj0Ujbtm1JSUmhZcuWWFtbM3r0aF599dWiiFE8BFdu3gag6+O+tKjmZiqv5uGIq71VcYUlhBBCFLsCJ0sajYb/+7//44033uDMmTMkJSURGBiIg4NDUcQnHobURGLiM698a1fLk6freBdzQEIIIUTJcV/rLAFYWVnh6OiIt7e3JEql3bYPWBT7HAN1G/BytinuaIQQQogSpcDJkl6vZ9y4cTg7O+Pv74+/vz/Ozs688847ZGRkFEWMooipCzuxI5UbyhEfZ9viDkcIIYQoUQo8DPfqq6+yZs0aPvzwQ4KDgwHYuXMnEydO5MaNG8yePbvQgxRFKD0Fog8CsI+auDtaF3NAQgghRMlS4GRp+fLlrFixgg4dOpjK6tati6+vL7169ZJkqbS5sheNUc9V5YrBoQI6raa4IxJCCCFKlAIPw1lbW2dbYwmgcuXKWFnJVVOlzsW/AfjHWAPvcrKekhBCCPFfBU6Whg0bxpQpU0z3hANIS0tj6tSpDBs2rFCDEw/BxZ0A/GOsLpO7hRBCiBwUeBhu//79REREULFiRerVqwfAwYMHSU9Pp23btnTr1s1Ud82aNYUXqSh8RgNc2g1k9iw1l2RJCCGEyKbAyZKLiwvPPvusWZmvr2+hBSQeIn0aPDGCg7u2cCK1Es/KlXBCCCFENgVOlhYsWFAUcYjiYGUHLd9g0pFmGG/E4yM9S0IIIUQ2BZ6zdOLEiVy3/frrrw8UjCge0QmpADJnSQghhMhBgZOlxx9/nFmzZpmVpaWlMWzYMDp37lxogYkiphScWI8hIYqYW5mT9X1cZBhOCCGE+K8CD8MtXLiQl156ifXr17NgwQKioqLo3bs3RqORP/74oyhiFEUh/iKs6I1Wa4GFcR4arTVuDrIgpRBCCPFfBe5Z6t69OwcPHiQjI4PatWsTHBxMq1at2LdvH40bNy6KGEVRuLO+UoprbdKwwtPJRhakFEIIIXJw3zfSTU9Px2AwYDAY8Pb2xsZG5ruUKpcyk6WYcg0Ama8khBBC5KbAydKKFSuoU6cOzs7OnDp1ivXr1/P111/TokULzp07VxQxiqJwp2fprE0dALwlWRJCCCFyVOBkadCgQbz33nusW7cOd3d32rdvz+HDh6lQoQL169cvghBFobsdD7HHADikrQnI5G4hhBAiNwWe4L1v3z5q1KhhVlauXDlWrVrFkiVLCi0wUYSu7sv8Wc6fcyl2QAJeTtKzJIQQQuSkwD1L/02U7tavX78HCkY8JFf2Zv6s0IirCbcB8HGRZEkIIYTISb6TpcDAQOLi4kzPX375Za5fv256Hhsbi52d3LW+VKjXG7rNg4bhdy1IKcNwQgghRE7ynSydOHECvV5ver506VISExNNz5VSpKamFm50d4mLi6NPnz44OTnh4uLCoEGDSEpKyrP+q6++So0aNbC1taVSpUoMHz6chIQEs3oajSbbY8WKFUV2HiWCcwWo+zz6Ss2JScx8z+RWJ0IIIUTOCjxnKYtSKluZRlN06/T06dOHqKgoNm/eTEZGBgMGDGDo0KEsX748x/pXr17l6tWrfPzxxwQGBnLhwgVefPFFrl69yurVq83qLliwgNDQUNNzFxeXIjuPkuRaUhpGBRZaDeVlQUohhBAiR/edLD1Mx48fZ+PGjezZs4dGjRoB8MUXX/D000/z8ccf4+Pjk22fxx57jO+//970vEqVKkydOpW+ffui1+uxsPj31F1cXPDy8ir6EykJLu2BizuhckuuZvgByIKUQgghRB7yPQyXNUT137KHYefOnbi4uJgSJYB27dqh1WrZtWtXvttJSEjAycnJLFECeOWVV3Bzc6NJkybMnz8/x16zu6WlpZGYmGj2KDVO/ASbx8HehUTdmdwtaywJIYQQuct3z5JSirZt25oSjdu3b9OpUyesrKwAzOYzFbbo6Gg8PDzMyiwsLHB1dSU6OjpfbVy/fp0pU6YwdOhQs/LJkyfTpk0b7Ozs2LRpEy+//DJJSUkMHz4817amTZvGpEmTCn4iJcGVO8sGVGhomtztLWssCSGEELnKd7I0YcIEs+edO3fOVufZZ58t0MHHjBnDBx98kGed48ePF6jNnCQmJtKxY0cCAwOZOHGi2bZx48aZ/t2gQQOSk5P56KOP8kyWxo4dy6hRo8za9/X1feA4i5zRAFf3Z/67QkOu7r6TLEnPkhBCCJGr+06WCsPrr79OeHh4nnUCAgLw8vIiNjbWrFyv1xMXF3fPuUa3bt0iNDQUR0dH1q5di6WlZZ71g4KCmDJlCmlpaVhb5zzp2draOtdtJdr1U5CeBJb24F6D6MQDgCRLQgghRF6KdYK3u7s77u7u96wXHBxMfHw8e/fupWHDhgD8/vvvGI1GgoKCct0vMTGRkJAQrK2tWbduXb5u9nvgwAHKlStXOpOhe7n8T+ZPnwag1XE1XnqWhBBCiHspFVfD1apVi9DQUIYMGcKcOXPIyMhg2LBh9OzZ03Ql3JUrV2jbti2LFy+mSZMmJCYm8tRTT5GSkmJaEyprIra7uzs6nY6ffvqJmJgYmjZtio2NDZs3b+a9995j9OjRxXm6Rce0cvfjAP/OWZIFKYUQQohclYpkCWDZsmUMGzaMtm3botVqefbZZ/n8889N2zMyMjh58iQpKSlA5j3ssq6Uq1q1qllbkZGR+Pv7Y2lpyaxZs3jttddQSlG1alU+/fRThgwZ8vBO7GGKOpj5s0JD9AYjsbeyJnhLz5IQQgiRG42613Xy4p4SExNxdnY2LU1QYmWkQswRKF+FK2k2NH//dyx1Gk5O6YBW1lkSQgjxiMnv93ep6VkShcDSBipmrlUVHZt5nz9PJxtJlIQQQog85HtRyv9KTU1l3bp1JCcnF2Y84iGRyd1CCCFE/tx3srR69Wq6du3KsmXLCjMeUVR+fxd+fg2iDwMyuVsIIYTIr/tOlhYtWkTlypVZsGBBYcYjisrh1fDPfEi+BsBVudWJEEIIkS/3lSxdvnyZbdu28e2337Jv3z5OnTpV2HGJwpQSBzcjM//t899lAyRZEkIIIfJyX8nSkiVLaNasGY0bNyYkJIRFixYVdlyiMGWtr1S+Gti6AHD1TrLkJcNwQgghRJ7uK1latGgR/fr1A6Bfv34sXbq0UIMShcy0GGVDU1FUfOYwnI+ssSSEEELkqcDJ0t9//82lS5fo3r07AP/73/9ITEwkIiKi0IMTheP6qb8B+PiIHU2m/kaTqb8ReysNAC8ZhhNCCCHyVOBkadGiRfzvf//D0dERyLyp7PPPP8/ChQsLOzZRSHSxmVfA/X27IrG30kyJkl95O9zsy+A98IQQQohCVKBFKdPS0li5cmW25QL69etHaGgos2fPxsHBoVADFA8oLYkMpcOoNDzdrj2TavmZNlV2s5cFKYUQQoh7KFCydOvWLaZPn05ISIhZeYsWLfjqq69ISkqSZKmksXagp+3XXLt+jbmVK1Dbx7m4IxJCCCFKlQIlS25uboSFheW4rW/fvoUSkCh815LSuIUdbg4y5CaEEEIUVL7nLC1ZsoS4uLhctycnJzN58uRCCUoUntQMA7dS9QC4O0qyJIQQQhRUvpOl/v3706RJE44cOZLj9qSkJCZNmlRogYnCoZkfwlLLqVTXReNkI/dNFkIIIQqqQFfDBQQE0KxZM9asWVNU8YjClJaEVdQ/PKE7iqW9CxqNTOYWQgghCirfyZJGo2Hp0qW89dZbdO/enQkTJhRlXKIwxBxFgyJGuWDh5Fnc0QghhBClUr6TJaUUAP/3f//HDz/8wIwZM+jatSvJyclFFpx4QNGHADhq9JfJ3UIIIcR9uq/bnTzzzDP8/fffHD9+nKCgIM6dO1fYcYnCcCdZOqb8ZHK3EEIIcZ8KNAx3t5o1a7J79278/Pxo3LgxmzZtKvTgxAOKkp4lIYQQ4kEVeBjubk5OTvz888+88MILhIeHF2Zc4kEZMiD2GABHlT9uDlbFHJAQQghROhVo6QBbW9ts5RqNhvfee49vv/2WVq1aFWpw4gHcvgmVgonReXFJuePuKDfMFUIIIe6HRuXUZSQKJDExEWdnZxISEnBycirucMw8+fFWIq8ns3JoU4ICyhd3OEIIIUSJkd/v7wJN8E5OTubw4cM5bjt69ChJSUkFi1IUuWu30gBwkwneQgghxH0pULKUkZFBUFAQu3fvNis/duwYDRo0kGSpJElPJjXDQFKa3OpECCGEeBAFSpZcXFx45plnWLx4sVn5kiVLaNu2LV5eXoUanLhPRiN8UguLz+viw3WsLLQ4WsutToQQQoj7UeB1lvr378/KlSvR6zN7LJRSLFu2jAEDBhR6cOI+xZ+HtAS0KbHE4oK7g7Xc6kQIIYS4TwVOlkJDQ7GwsGD9+vUAbN26laSkJLp06VLYsYn7dWd9pVtO1dBjIfOVhBBCiAdQ4GRJp9PRp08f01DckiVL6NGjB1ZWso5PiXFn5e5r9jUAcJc1loQQQoj7dl8TWfr370+TJk24cuUK33//Pb/++mthxyUexJ2epUvW1QCZ3C2EEEI8iPu6N1ydOnUIDAykT58+eHt707Rp08KOSzyIOz1Lp7UBAHKrEyGEEOIB3FeyBBAWFsb27dsJCwsrzHjEg7oVA0kxgIYj+oqA9CwJIYQQD+K+k6V+/foxYcIEBg4cWJjx5CouLo4+ffrg5OSEi4sLgwYNuue6Tq1bt0aj0Zg9XnzxRbM6Fy9epGPHjtjZ2eHh4cEbb7xhutKvVDLqoeEAeKwbV1My317pWRJCCCHu330vvuPq6sqECRMKM5Y89enTh6ioKDZv3kxGRgYDBgxg6NChLF++PM/9hgwZwuTJk03P7ezsTP82GAx07NgRLy8v/vrrL6KioggLC8PS0pL33nuvyM6lSDlXgE7TAbj20RZAkiUhhBDiQZSKlQqPHz/Oxo0b2bNnD40aNQLgiy++4Omnn+bjjz/Gx8cn133t7OxyXSxz06ZNHDt2jN9++w1PT0/q16/PlClTeOutt5g4cWKpv8Lv+p1bncgwnBBCCHH/7nsY7mHauXMnLi4upkQJoF27dmi1Wnbt2pXnvsuWLcPNzY3HHnuMsWPHkpKSYtZunTp18PT0NJWFhISQmJjI0aNHc20zLS2NxMREs0eJce0UZNwmJV1PcroBADdZOkAIIYS4b6WiZyk6OhoPDw+zMgsLC1xdXYmOjs51v969e+Pn54ePjw+HDh3irbfe4uTJk6xZs8bU7t2JEmB6nle706ZNY9KkSfd7OkXHaISvW4E+lfh+OwCwttDiILc6EUIIIe5bsX6Ljhkzhg8++CDPOsePH7/v9ocOHWr6d506dfD29qZt27acPXuWKlWq3He7Y8eOZdSoUabniYmJ+Pr63nd7hSb+AmSkgM6aKI07EIm7o9zqRAghhHgQxZosvf7664SHh+dZJyAgAC8vL2JjY83K9Xo9cXFxBbp5b1BQEABnzpyhSpUqeHl5sXv3brM6MTExAHm2a21tjbV1CZwHFHsnsXSvzvWUrCG4EhinEEIIUYoUa7Lk7u6Ou7v7PesFBwcTHx/P3r17adiwIQC///47RqPRlADlx4EDBwDw9vY2tTt16lRiY2NNw3ybN2/GycmJwMDAAp5NCRB7LPOnRyDXZHK3EEIIUShKxQTvWrVqERoaypAhQ9i9ezc7duxg2LBh9OzZ03Ql3JUrV6hZs6app+js2bNMmTKFvXv3cv78edatW0dYWBgtW7akbt26ADz11FMEBgbSr18/Dh48yK+//so777zDK6+8UjJ7ju7FlCzV4npSZrIkPUtCCCHEgykVyRJkXtVWs2ZN2rZty9NPP80TTzzB119/bdqekZHByZMnTVe7WVlZ8dtvv/HUU09Rs2ZNXn/9dZ599ll++ukn0z46nY6ff/4ZnU5HcHAwffv2JSwszGxdplIlaxju7p4luRJOCCGEeCCl5jIpV1fXPBeg9Pf3Rylleu7r68u2bdvu2a6fnx+//PJLocRYrPTpcP1U5r89anF9V+YcLxmGE0IIIR5MqUmWxD0YM6DteLh+Gpx9uZ50GZBhOCGEEOJBSbJUVljZQ/MRpqcywVsIIYQoHKVmzpIoGJngLYQQQhQOSZbKiot/w7WTYNCTnKYnJetWJ9KzJIQQQjwQSZbKirUvwqwmcPEvU6+SraUOeytdMQcmhBBClG6SLJUF6clw83zmvz0C/x2Cc7SSW50IIYQQD0iSpbLg2klAgb072LuZJnfLfCUhhBDiwUmyVBbctXI3wLWkdADcJVkSQgghHpgkS2XBXSt3A1zP6lmSyd1CCCHEA5NkqSy46wa6ANeSsm51IsmSEEII8aAkWSoLpGdJCCGEKDKygndppxQ8/VFmwuRRE7i7Z0luoiuEEEI8KEmWSjuNBmp1ynzckbV0gNzqRAghhHhwMgxXxiiluH4r82o4WTpACCGEeHDSs1TanfmNjPQ0jBUagb0bKWkGbmfcudWJJEtCCCHEA5NkqZS78tNUKiTsY2T6y/xgfMJUbmelw95a3l4hhBDiQckwXClnn3gOgDPKx6y8bS3P4ghHCCGEKHOk66E0S4nDRcUD8FafZ6hftaJpk6ONZTEFJYQQQpQtkiyVZjfOAHBVueLl7iYJkhBCCFEEZBiuFDNeOwnAWaMPLnayppIQQghRFCRZKsXSo+8kS8oHFzvpVRJCCCGKgiRLpZghNjNZuqKriKVO3kohhBCiKMicpVLsfIPRzDlVnVinwOIORQghhCizpDuiFIuy9OcnYzNuO/gVdyhCCCFEmSXJUil2MyXztiblZHK3EEIIUWRkGK60ijpIxRM/8rjGkXJ2PveuL4QQQoj7Ij1LpdWZ3wg+8wl9LX6TZQOEEEKIIiTJUml1/TSQucaSDMMJIYQQRUeSpdLq+ikgc42lcvayxpIQQghRVCRZKo2U+rdnScnq3UIIIURRkmSpNEqKgbREDGi5oDwpJ6t3CyGEEEWm1CRLcXFx9OnTBycnJ1xcXBg0aBBJSUm51j9//jwajSbHx3fffWeql9P2FStWPIxTun93epWu4EE6ljJnSQghhChCpWbpgD59+hAVFcXmzZvJyMhgwIABDB06lOXLl+dY39fXl6ioKLOyr7/+mo8++ogOHTqYlS9YsIDQ0FDTcxcXl0KPv1Ddma90xpi5ZEA5e0mWhBBCiKJSKpKl48ePs3HjRvbs2UOjRo0A+OKLL3j66af5+OOP8fHJvs6QTqfDy8vLrGzt2rV0794dBwcHs3IXF5dsdUu0uj247VaHT7/eBSDDcEIIIUQRKhXDcDt37sTFxcWUKAG0a9cOrVbLrl278tXG3r17OXDgAIMGDcq27ZVXXsHNzY0mTZowf/58lFJ5tpWWlkZiYqLZ46GyduCGy2McUQFYWWixtdQ93OMLIYQQj5BS0bMUHR2Nh4eHWZmFhQWurq5ER0fnq41vvvmGWrVq0axZM7PyyZMn06ZNG+zs7Ni0aRMvv/wySUlJDB8+PNe2pk2bxqRJkwp+IoXoZnIGkNmrpNFoijUWIYQQoiwr1p6lMWPG5DoJO+tx4sSJBz7O7du3Wb58eY69SuPGjaN58+Y0aNCAt956izfffJOPPvooz/bGjh1LQkKC6XHp0qUHjjHf0pPhlzew3T8PLUaZ3C2EEEIUsWLtWXr99dcJDw/Ps05AQABeXl7Exsaalev1euLi4vI112j16tWkpKQQFhZ2z7pBQUFMmTKFtLQ0rK2tc6xjbW2d67Yid+MM7P4aX6tyGJmFi8xXEkIIIYpUsSZL7u7uuLu737NecHAw8fHx7N27l4YNGwLw+++/YzQaCQoKuuf+33zzDf/73//ydawDBw5Qrly54kuG7uXOsgHxdv6QiPQsCSGEEEWsVMxZqlWrFqGhoQwZMoQ5c+aQkZHBsGHD6Nmzp+lKuCtXrtC2bVsWL15MkyZNTPueOXOG7du388svv2Rr96effiImJoamTZtiY2PD5s2bee+99xg9evRDO7cCu5MsXbOuBMiyAWWN0WgkPT29uMMQQogywdLSEp3uwS+CKhXJEsCyZcsYNmwYbdu2RavV8uyzz/L555+btmdkZHDy5ElSUlLM9ps/fz4VK1bkqaeeytampaUls2bN4rXXXkMpRdWqVfn0008ZMmRIkZ/PfbuzxtJVC19Alg0oS9LT04mMjMRoNBZ3KEIIUWZkLQ/0IBdDadS9rpMX95SYmIizszMJCQk4OTkV7cFmPwExh/mqwntMO+vPOx1rMbhFQNEeUxQ5pRQXL14kIyMDHx8ftNpSsaqHEEKUWEopUlJSiI2NxcXFBW9v72x18vv9XWp6lgRgNMKNzGG4U4bMN11uols26PV6UlJS8PHxwc7OrrjDEUKIMsHW1haA2NhYPDw87ntITv58LU0SL4M+FXRWnEkvD8gwXFlhMBgAsLKS5FcIIQpT1h+gGRkZ992G9CyVJi6V4M1IiL/IjSVxmUXSs1SmyAKjQghRuArjc1V6lkobO1fwqU98yr8reAshhBCi6EiyVAql640kpekBWWdJlB7+/v5Mnz69uMMoNKX1fL7++mt8fX3RarWlMv6yLjw8nC5duuRZZ+vWrWg0GuLj4wvc9sSJEwu0z/fff5/ve7CWZZIslSZbP4ANY7h16RAAWg042UrPkihely5dYuDAgfj4+GBlZYWfnx8jRozgxo0bxR1aqTFx4sQ8b/tUWPeiTExMZNiwYbz11ltcuXKFoUOHFkq758+fv+etqxYuXEhqairh4eHUqVMHCwuLeyYFWe5ux97enmrVqhEeHs7evXsLJf6SZMaMGSxcuND0vHXr1owcObJIjhUVFUXv3r2pXr06Wq02x+OcOnWK999//4GOc7/nkJ/E8WGRZKk0ObwKds0mJS7z5sHOtpbotDLHRRSfc+fO0ahRI06fPs23337LmTNnmDNnDhEREQQHBxMXF1dssRkMhhK9ZlVycrIpoRw9ejRRUVHZHuHh4bi4uNC7d28A4uPjSUxMvO9jZi1P0bFjR7y9ve/7ysv/TpT19fU1i/v111+ndu3aZmU9evTAYDBga2vL8OHDadeuXYGOuWDBAqKiojh69CizZs0iKSmJoKAgFi9efF/nUFI5Ozvj4uLyUI6VlpaGu7s777zzDvXq1cuxTufOndm8eTOpqakPJaaSSpKl0sKgh5sXALhmmblquQzBieL2yiuvYGVlxaZNm2jVqhWVKlWiQ4cO/Pbbb1y5coX/+7//M6t/69YtevXqhb29PRUqVGDWrFmmbUopJk6cSKVKlbC2tsbHx4fhw4ebtqelpTF69GgqVKiAvb09QUFBbN261bR94cKFuLi4sG7dOgIDA7G2tmbevHnY2NhkG64YMWIEbdq0MT3/888/adGiBba2tvj6+jJ8+HCSk5NN22NjY+nUqRO2trZUrlyZZcuW3dfrpZRi27ZtDBgwAC8vL/78808AHBwc8PLyMntERESwZMkSVqxYQbVq1QA4ePAgXl5e9O3bl82bNxcoGVy4cCF16tQBMu+5qdFoOH/+PACzZ8+mSpUqWFlZUaNGDZYsWWK2r0ajYfbs2fzvf//D3t6eqVOnmm3X6XRmsTs4OGBhYWFWZmtri729PbNnz2bIkCH5uq/n3bIWFvT39+epp55i9erV9OnTh2HDhnHz5k1TvXu9l2lpabz11lv4+vpibW1N1apV+eabb4DMBHvQoEFUrlwZW1tbatSowYwZM0z7bt++HUtLS6Kjo81iGzlyJC1atMgx7tGjR/PMM8+Ynk+fPh2NRsPGjRtNZVWrVmXevHmAeW9KeHg427ZtY8aMGaaetaz3DGDv3r00atQIOzs7mjVrxsmTJwv0mvr7+zNjxgzCwsJwdnbOsU5gYCDe3t789ttvebb15ZdfUq1aNWxsbPD09OS5557L8xzu9VpPnDiRRYsW8eOPP5r2y/r//dKlS3Tv3h0XFxdcXV3p3Lmz2etSJJR4YAkJCQpQCQkJRXeQuEilJjgpNdldbTh0Wfm99bPqOuvPojueeKhu376tjh07pm7fvq2UUspoNKrktIxieRiNxnzFfOPGDaXRaNR7772X4/YhQ4aocuXKmdrz8/NTjo6Oatq0aerkyZPq888/VzqdTm3atEkppdR3332nnJyc1C+//KIuXLigdu3apb7++mtTe4MHD1bNmjVT27dvV2fOnFEfffSRsra2VqdOnVJKKbVgwQJlaWmpmjVrpnbs2KFOnDihkpKSlKenp5o3b56pHb1eb1Z25swZZW9vrz777DN16tQptWPHDtWgQQMVHh5u2qdDhw6qXr16aufOneqff/5RzZo1U7a2tuqzzz7L12t19uxZNX78eOXv76/s7e1Vv3791ObNm5XBYMix/j///KNsbW3VRx99ZFZuNBrV1q1b1cCBA5WTk5OqWLGiGjt2rDpx4sQ9Y0hJSVG//fabAtTu3btVVFSU0uv1as2aNcrS0lLNmjVLnTx5Un3yySdKp9Op33//3bQvoDw8PNT8+fPV2bNn1YULF/I81oQJE1S9evXyrNO/f3/VuXPne8addfy1a9dmK9+/f78C1MqVK5VS+Xsvu3fvrnx9fdWaNWvU2bNn1W+//aZWrFihlFIqPT1djR8/Xu3Zs0edO3dOLV26VNnZ2ZnaV0qp6tWrqw8//ND0PD09Xbm5uan58+fnGPu6deuUs7Oz0uv1SimlunTpotzc3NRbb72llFLq8uXLClCnT5/O9rrEx8er4OBgNWTIEBUVFWV6z7Zs2aIAFRQUpLZu3aqOHj2qWrRooZo1a5bn69i/f381YcKEHLe1atVKjRgxIsdtr732mhoyZEiu7e7Zs0fpdDq1fPlydf78ebVv3z41Y8aMPM/hXq/1rVu3VPfu3VVoaKhpv7S0NJWenq5q1aqlBg4cqA4dOqSOHTumevfurWrUqKHS0tJyjO+/n693y+/3tywdUFrEncv8Wc6fm7cz1+SRnqWy63aGgcDxvxbLsY9NDsHO6t4fDadPn0YpRa1atXLcXqtWLW7evMm1a9fw8PAAoHnz5owZMwaA6tWrs2PHDj777DPat2/PxYsX8fLyol27dlhaWlKpUiXTfR4vXrzIggULuHjxoul+kKNHj2bjxo0sWLCA9957D8gcHvryyy/NhhR69uzJ8uXLGTRoEAARERHEx8fz7LPPAjBt2jT69OljmlNRrVo1Pv/8c1q1asXs2bO5ePEiGzZsYPfu3TRu3BjIvDl3buedJSkpiZUrV7Jo0SL++usvnnzySSZPnky3bt2wt7fPdb/Y2Fi6du3Ks88+m+0+lRqNhlatWtGqVStmzpzJDz/8wOLFi/noo49o2LAh4eHh9OrVK8deAltbW8qXz1yfzd3d3dSz8/HHHxMeHs7LL78MwKhRo/j777/5+OOPefLJJ0379+7dmwEDBuR5zg9bzZo1AUy9Cvl5L1etWsXmzZtNw4ABAf/eAcHS0tJsfljlypXZuXMnq1atonv37gAMGjSIBQsW8MYbbwCZ9xhNTU01bf+vFi1acOvWLfbv30/Dhg3Zvn07b7zxBj/88AOQOVm7QoUKVK1aNdu+zs7OWFlZYWdnl2NP3NSpU2nVqhUAY8aMoWPHjqSmpmJjY5PflzBfOnfuTK9evVBK5XgZ/sWLF7G3t+eZZ57B0dERPz8/GjRokOc56HS6PF9rBwcHbG1tSUtLM9tv6dKlGI1G5s2bZ4plwYIFuLi4sHXr1hxvbVYYZBiutMhKllwDuJmSeaNVWWNJlASqAHdMCg4Ozvb8+PHjADz//PPcvn2bgIAAhgwZwtq1a9HrM6/6PHz4MAaDgerVq+Pg4GB6bNu2jbNnz5ras7Kyom7dumbH6NOnD1u3buXq1atA5n0mO3bsaJoXcvDgQRYuXGjWbkhICEajkcjISI4fP46FhQUNGzY0tVmzZs17zitZvXo1gwcP5ubNmxw8eJDNmzfTr1+/PBOljIwMnnvuOTw9PZk7d26e7dva2tKrVy82bNjA0aNHycjI4KWXXmLBggV57vdfx48fp3nz5mZlzZs3N70vWRo1alSgdh+GrN+9rC/Ne72XBw4cQKfTmRKMnMyaNYuGDRvi7u6Og4MDX3/9NRcvXjRtDw8P58yZM/z9999A5vBm9+7dc31fXVxcqFevHlu3buXw4cNYWVkxdOhQ9u/fT1JSEtu2bcsznrzc/buedSuP2NjY+2orL0888QTJycns378/x+3t27fHz8+PgIAA+vXrx7Jly7LdpzUn93qtc3Lw4EHOnDmDo6Oj6T12dXUlNTXV7LOgsEnPUmlx499kSdZYKvtsLXUcmxxSbMfOj6pVq6LRaDh+/Dhdu3bNtv348eOUK1cOd3f3fLXn6+vLyZMn+e2339i8eTMvv/wyH330Edu2bSMpKQmdTsfevXuz3a7AwcHh39htbbP95du4cWOqVKnCihUreOmll1i7dq3Z1UZJSUm88MILZvOjslSqVIlTp07lK/7/6ty5M5999hmLFi2iYcOGdOrUiX79+tGhQwcsLXP+f3f48OGcPn2aPXv23LN3QK/Xs2nTJpYsWcKPP/5IQEAAH374IX369LmveO8lrySvuGQldJUrVwbu/V6eOXMmz/ZWrFjB6NGj+eSTTwgODsbR0ZGPPvrI7NJ5Dw8POnXqxIIFC6hcuTIbNmwwmzuXk9atW7N161asra1p1aoVrq6u1KpViz///JNt27bx+uuvF/DMM939e5T1e18UFzVcv36dlJQUKlWqlON2R0dH9u3bx9atW9m0aRPjx49n4sSJ7NmzJ9c/KvLzWuckKSmJhg0b5jhvML+fNfdDkqXSIvFy5k/XysRdyOxZKmcvPUtllUajyddQWHEqX7487du358svv+S1114z3YMJIDo6mmXLlhEWFmaWvGT9NX7387uHs2xtbenUqROdOnXilVdeoWbNmhw+fJgGDRpgMBiIjY3NdSJtXvr06cOyZcuoWLEiWq2Wjh07mrY9/vjjHDt2LMdhEMjsRdLr9ezdu9c0DHfy5Ml7rnFTrlw5Ro4cyciRIzl06BALFy5k6NCh6PV6evbsSb9+/QgKCjLV//rrr5k/fz5btmyhYsWKuba7b98+lixZwrfffoter6dXr15s3779vnt+atWqxY4dO+jfv7+pbMeOHQQGBt5Xew/T9OnTcXJyMg2p3eu9rFOnDkajkW3btuV4Nd6OHTto1qyZaUgSyLG3YvDgwfTq1YuKFStSpUqVbD1z/9WqVSvmz5+PhYUFoaGhQGYC9e2333Lq1Clat26d675WVlam2yEVl59++omgoCDc3NxyrWNhYUG7du1o164dEyZMwMXFhd9//51u3brleA75ea1z2u/xxx9n5cqVeHh4FP2N6+8iw3ClxfOL4I2zULc78XeG4WTOkihuM2fOJC0tjZCQELZv386lS5fYuHEj7du3p0KFCtmumtqxYwcffvghp06dYtasWXz33XeMGDECyBzO+Oabbzhy5Ajnzp1j6dKl2Nra4ufnR/Xq1enTpw9hYWGsWbOGyMhIdu/ezbRp01i/fv094+zTpw/79u1j6tSpPPfcc1hbW5u2vfXWW/z1118MGzaMAwcOcPr0aX788UeGDRsGQI0aNQgNDeWFF15g165d7N27l8GDB5slh/dSt25dPv30Uy5fvszChQuJjo6mZcuW/PTTT6bX5dVXX2X8+PEEBAQQHR1t9khISADgjz/+oGnTppw7d44vv/ySq1ev8sUXXzzQENkbb7zBwoULmT17NqdPn+bTTz9lzZo12eZLFZZjx45x4MAB4uLiSEhI4MCBAxw4cOCe+8XHxxMdHc2FCxfYvHkzzz33HMuXL2f27Nmm3ot7vZf+/v7079+fgQMH8sMPPxAZGcnWrVtZtWoVkDnH6Z9//uHXX3/l1KlTjBs3jj179mSLJSQkBCcnJ9599918zeNq2bIlt27d4ueffzYlRq1bt2bZsmV4e3tTvXr1XPf19/dn165dnD9/nuvXrxd6z1HW65+UlMS1a9c4cOAAx44dM6uzbt06OnfunGsbP//8M59//jkHDhzgwoULLF68GKPRSI0aNXI9h/y81v7+/hw6dIiTJ09y/fp1MjIy6NOnD25ubnTu3Jk//vjD9B4OHz6cy5cvF+prYybP6d8iXx7K1XB36fblDuX31s/ql0NXH8rxRNHL62qNku78+fOqf//+ytPTU1laWipfX1/16quvquvXr5vV8/PzU5MmTVLPP/+8srOzU15eXqYrZpRSau3atSooKEg5OTkpe3t71bRpU/Xbb7+ZtmddPePv768sLS2Vt7e36tq1qzp06JBSKvNqOGdn51zjbNKkiQLMrvLKsnv3btW+fXvl4OCg7O3tVd26ddXUqVNN26OiolTHjh2VtbW1qlSpklq8eLHy8/PL99VwOblx44aKiYlRSikVHh6ugFwf/fv3V0opdf36dRUbG3vfx8y6eiwyMtKs/Msvv1QBAQHK0tJSVa9eXS1evNhsO7lcjZabvK6G8/Pzy/Ec83J3PRsbG1WlShXVv39/tXfv3mx17/Ve3r59W7322mvK29tbWVlZqapVq5quZEtNTVXh4eHK2dlZubi4qJdeekmNGTMmx3MZN26c0ul06urV/H0O16tXT3l5eZmeZ11N2rNnT7N6/71K8OTJk6pp06bK1tbW9N5lXQ138+ZNU73c3tv/tv3fq+Fyei/8/PxM25OTk5WtrW2eV1z+8ccfqlWrVqpcuXLK1tZW1a1b1+wKwpzOIT+vdWxsrOm9BNSWLVuUUpn/P4aFhSk3NzdlbW2tAgIC1JAhQ3L9Di6Mq+E0d14s8QASExNxdnYmISHhoXQLtvlkK+euJfPtkKYEVylf5McTRS81NZXIyEgqV65c6FeyCCEK36BBg7h27Rrr1q0r7lDyLTw8HH9//wLd8uTHH3/kzTffLPAaTiVJXp+v+f3+LtmTIkSmy//AH59ApabQfMS/E7ztZYK3EEI8TAkJCRw+fJjly5eXqkTpfq1bt47//e9/xR1GsZNkqTSIPgwnfwGjAWPwcJmzJIQQxaRz587s3r2bF198kfbt2xd3OEUua3XzR50kS6XBXWss3UrVY7wzcOoiSwcIIcRDda9lAkqyLl26PLT7zpU1kiyVBnclS3F3epXsrHRYW+RvPRwhhBAi655zouBk6YDSIC4y8+ddq3fLEJwQQgjxcEiyVNIpdVfPUuV/5yvJ5G4hhBDioZBkqaS7FQ3626DRgUslbiZn3epEepaEEEKIh0HmLJV0t6LA0h4cPEBnKTfRFUIIIR4ySZZKugqPw9tXIDXzdgdyE10hhBDi4ZJhuNJAowFbFwDpWRKimLVu3ZqRI0cWdxhCiIdIkqVS5t+r4aRnSRS/8PBwNBpNtkfWndVLioeV4LRu3TrH1yPrkXUT1a+//prWrVvj5OSERqMhPj7+nm3f/VpbWlri6elJ+/btmT9/fqHfXFUIYU6G4Uq678LBkAFtJ4B7ddMEb1d76VkSJUNoaCgLFiwwK7O2ti6maIrXmjVrSE/P/IPm0qVLNGnShN9++43atWsDYGWV+f9tSkoKoaGhhIaGMnbs2Hy3n/VaGwwGYmJi2LhxIyNGjGD16tWsW7cOCwv5SBeiKEjPUkmmFJzeDCd+zhyKQ4bhRMljbW2Nl5eX2aNcuXJA5mrHVlZW/PHHH6b6H374IR4eHsTExACZvTHDhg1j2LBhODs74+bmxrhx47j7Ht9paWmMHj2aChUqYG9vT1BQULaVlHfs2EHr1q2xs7OjXLlyhISEcPPmTcLDw9m2bRszZsww9cycP38egCNHjtChQwccHBzw9PSkX79+XL9+3dRmcnIyYWFhODg44O3tzSeffJLna+Hq6mp6Ddzd3QEoX768qczV1RWAkSNHMmbMGJo2bXpfr3WFChV4/PHHefvtt/nxxx/ZsGEDCxcuNNWLj49n8ODBuLu74+TkRJs2bTh48KBZWz/99BONGzfGxsYGNzc3unbtatq2ZMkSGjVqhKOjI15eXvTu3ZvY2FgAlFJUrVqVjz/+2Ky9AwcOoNFoOHPmTIHOSYjSQJKlkiz5GqQngUYLLpUAmeD9yElPzv2RkVqAurfzV7eQZQ1/9evXj4SEBPbv38+4ceOYN28enp6epnqLFi3CwsKC3bt3M2PGDD799FPmzZtn2j5s2DB27tzJihUrOHToEM8//zyhoaGcPn0ayPyibtu2LYGBgezcuZM///yTTp06YTAYmDFjBsHBwQwZMoSoqCiioqLw9fUlPj6eNm3a0KBBA/755x82btxITEwM3bt3Nx33jTfeYNu2bfz4449s2rSJrVu3sm/fvkJ/nR5EmzZtqFevHmvWrDGVPf/888TGxrJhwwb27t3L448/Ttu2bYmLiwNg/fr1dO3alaeffpr9+/cTERFBkyZNTPtnZGQwZcoUDh48yA8//MD58+cJDw8HQKPRMHDgwGy9iQsWLKBly5ZUrVq16E9aiIdNiQeWkJCgAJWQkFC4DV/YqdQEJ6U+e8xUVP3/flF+b/2sLt5ILtxjiWJ1+/ZtdezYMXX79m3zDROccn8sfc687rteuded/7R53Q8q51yvgPr37690Op2yt7c3e0ydOtVUJy0tTdWvX191795dBQYGqiFDhpi10apVK1WrVi1lNBpNZW+99ZaqVauWUkqpCxcuKJ1Op65cuWK2X9u2bdXYsWOVUkr16tVLNW/ePNc4W7VqpUaMGGFWNmXKFPXUU0+ZlV26dEkB6uTJk+rWrVvKyspKrVq1yrT9xo0bytbWNltbOYmMjFSA2r9/f651tmzZogB18+bNe7bXv39/1blz5xy39ejRw/R6/fHHH8rJyUmlpqaa1alSpYr66quvlFJKBQcHqz59+tzzmFn27NmjAHXr1i2llFJXrlxROp1O7dq1SymlVHp6unJzc1MLFy7Md5tCPCy5fr6q/H9/l5qepalTp9KsWTPs7OzyfSNApRTjx4/H29sbW1tb2rVrZ/pLNEtcXBx9+vTByckJFxcXBg0aRFJSUhGcwX24655wALfTDaTpMydyyk10RUnx5JNPcuDAAbPHiy++aNpuZWXFsmXL+P7770lNTeWzzz7L1kbTpk3R3BlqBggODub06dMYDAYOHz6MwWCgevXqODg4mB7btm3j7NmzwL89SwVx8OBBtmzZYtZmzZo1ATh79ixnz54lPT2doKAg0z6urq7UqFGjQMd5GJRSptfv4MGDJCUlUb58ebNzi4yMzPfrtXfvXjp16kSlSpVwdHSkVatWAFy8eBEAHx8fOnbsyPz584HMIb20tDSef/75ojxNIYpNqZkNmJ6ezvPPP09wcDDffPNNvvb58MMP+fzzz1m0aBGVK1dm3LhxhISEcOzYMWxsbADo06cPUVH/3969B0VV9nEA/y57cwVhSxF2E2KrJeymEmmovU5KrRkW2lA2qIhRU2EBNpZpSk0pSXepNJvaLqN2L02DMiAcE5EwFCfEIgwnXQgRl8sr2u7z/uGwbxu4Wu5yluP3M7N/cG58z4Oe89tznvOcw9iyZQtOnjyJtLQ03HfffVi3bp0vd+fs/K1Y6n6JripAgSBtv/nT0blYdOj08xR/e5HyAg99RRR/+16UVf3vM/1NYGDgGW+9bN++HcCpLyctLS0IDAw86+23t7dDqVSisrISSqX7PgcFBQEAdDrdP0x9artTp07FihUreswzGAz9qu9NTU0NTCYTgFP7ZTAYevTpAuD6oumpvTo6OmCxWGCxWLB27VqEhoaioaEBFovF1XkdANLT0zFr1iy89NJLsFqtuOuuuzBw4ECv7heRv+g3Z9ynnnoKANw6MXoihMDLL7+MJ554ArfffjsA4L333kNYWBi++OILzJgxAzU1NSgsLERFRQXi4uIAAPn5+ZgyZQqef/55GI1Gn+zL2fpv48/QAWjVRaD9aCd+bjp1xUs/UOP2LZxkTHP2RYXPlj1HdXV1yM7OxptvvokPP/wQqamp+PbbbxEQ8P8Crry83G2dHTt2wGw2Q6lUYtSoUXA4HGhqasINN9zQ6++45pprUFRU5DpO/J1Go4HD4XCbFhsbi08//RRRUVG9PkV26aWXQq1Wo7y8HJGRp/oMHj16FPv373ddafEHxcXFqK6uRnZ2NoBT+2Wz2aBSqRAVFdXrOt3tlZaW1mPevn37cOTIETz77LOIiIgAAPzwww89lpsyZQoCAwOxatUqFBYWYuvWrd7bKSI/029uw/1T9fX1sNlsSEhIcE0LCQnBmDFjUFZWBgAoKyuDXq93FUoAkJCQgICAgB4H77/q6uqC3W53+/hCWd0R/FdosKCoDeNXlCDNWgGAnbvJv3R1dcFms7l9up8oczgcmDlzJiwWC9LS0mC1WrFnz54eT5U1NDRg/vz5qK2txfr165Gfn4/MzEwAQHR0NFJSUjB79mx89tlnqK+vx86dO5Gbm4vNmzcDAB5//HFUVFTgwQcfxJ49e7Bv3z6sWrXKlSMqKgrl5eU4cOAAmpub4XQ6kZGRgZaWFtx9992oqKhAXV0dvv76a6SlpcHhcCAoKAj33HMPFixYgOLiYuzduxdz5sxxK/L+LZvNhqqqKtfVq+rqalRVVbk6YJ+prX///Xfs2rULy5cvx+23347ExETMnj0bwKljWHx8PJKSkvDNN9/gwIED2L59OxYvXuwqenJycrB+/Xrk5OSgpqYG1dXVritskZGR0Gg0yM/Px6+//oqNGzfi6aef7pFFqVRizpw5ePzxx2E2mxEfH3/O7ULkt3zSm8qHrFarCAkJOeNy33//vQAgDh065DY9OTlZ3HnnnUIIIZYtWyaio6N7rBsaGipef/310247JydHAOjx8XYHb8tLpSJ68WYRs3iTiF78lYhe/JUYvqRAvFr8s1d/D0nPUwdEf5aamtrr/4XLL79cCCHEU089JQwGg2hubnat8+mnnwqNRiOqqqqEEKc6Xz/44IPi/vvvF8HBweKCCy4QixYtcuvwfeLECbF06VIRFRUl1Gq1MBgMYtq0aWLPnj2uZb777jsxduxYodVqhV6vFxaLxdVxura2Vlx//fVCp9MJAKK+vl4IIcT+/fvFtGnThF6vFzqdTsTExIisrCzX725raxMzZ84UAwcOFGFhYSIvL6/XzuK98dTB+3THEKvVelZtrVKpRGhoqEhISBBvv/22cDgcbsva7Xbx0EMPCaPRKNRqtYiIiBApKSmioaHB7e8wcuRIodFoxJAhQ8T06dNd89atWyeioqKEVqsV8fHxYuPGjb3uS11dnQAg8vLyztgeRFLxRgdvSYulxx57rNcDxl8/NTU1buv4Q7F0/PhxcezYMden+wkarz8NR+eN/losecPZFh/kf7Zu3SrUarWw2WxSRyE6LW8US5L2WXrkkUdcY3ecziWXXPKvth0eHg4AaGxshMFgcE1vbGzEyJEjXct0D7TW7c8//0RLS4tr/d5otdrzdoRiIqKuri788ccfePLJJ5GcnOw2ZhaRHElaLIWGhrpGufU2k8mE8PBwFBUVuYoju92O8vJyPPDAAwBOPZ7c2tqKyspKXHvttQBOdZZ0Op1ujwsTEdH/rV+/Hvfccw9GjhyJ9957T+o4RD7Xb56Ga2hoQEtLCxoaGuBwOFBVVQUAuOyyy1yPD8fExCA3NxfTpk2DQqFAVlYWnnnmGZjNZtfQAUajEUlJSQCA4cOHY/Lkybj33nuxevVqnDx5EvPmzcOMGTMkfxKO6HzR2yPu5N/mzJlzxrsCRHLSb4qlpUuX4t1333X9PGrUKABASUmJ603etbW1OHbsmGuZRx99FB0dHbjvvvvQ2tqK8ePHo7Cw0DXGEgCsXbsW8+bNw6RJkxAQEIA77rgDK1eu7JudIiIiIr+nEOIvb6ukf8VutyMkJATHjh1DcHCw1HGoHzp+/Djq6+thMpncinkiIjo3no6vZ3v+lu04S0T9Eb+7EBF5lzeOqyyWiPxA92s8/vo6CSIiOnednZ0AALX63w/o3G/6LBHJmUqlwsCBA/HHH39ArVZ7ZZRoIqLzmRACnZ2daGpqgl6v7/FuyX+CxRKRH1AoFDAYDKivr8dvv/0mdRwiItnQ6/Uex048GyyWiPyERqOB2WzmrTgiIi9Rq9XndEWpG4slIj8SEBDAp+GIiPwMO0YQERERecBiiYiIiMgDFktEREREHrDPkhd0D3hlt9slTkJERERnq/u8faaBK1kseUFbWxsAICIiQuIkRERE9E+1tbUhJCTktPP5bjgvcDqdOHToEAYNGgSFQuG17drtdkRERODgwYN855wPsZ37Dtu6b7Cd+wbbuW/4sp2FEGhra4PRaPQ4GDCvLHlBQEAAhg0b5rPtBwcH8z9iH2A79x22dd9gO/cNtnPf8FU7e7qi1I0dvImIiIg8YLFERERE5AGLJT+m1WqRk5MDrVYrdRRZYzv3HbZ132A79w22c9/wh3ZmB28iIiIiD3hliYiIiMgDFktEREREHrBYIiIiIvKAxRIRERGRByyW/Nhrr72GqKgoDBgwAGPGjMHOnTuljiQrubm5uO666zBo0CAMHToUSUlJqK2tlTqW7D377LNQKBTIysqSOors/P7775g5cyYGDx4MnU6Hq6++Gj/88IPUsWTF4XBgyZIlMJlM0Ol0uPTSS/H000+f8d1idGZbt27F1KlTYTQaoVAo8MUXX7jNF0Jg6dKlMBgM0Ol0SEhIwM8//9wn2Vgs+akPP/wQ8+fPR05ODnbt2oURI0bAYrGgqalJ6miyUVpaioyMDOzYsQNbtmzByZMncfPNN6Ojo0PqaLJVUVGBN954A9dcc43UUWTn6NGjGDduHNRqNQoKCvDTTz/hhRdewAUXXCB1NFlZsWIFVq1ahVdffRU1NTVYsWIF8vLykJ+fL3W0fq+jowMjRozAa6+91uv8vLw8rFy5EqtXr0Z5eTkCAwNhsVhw/Phx34cT5JdGjx4tMjIyXD87HA5hNBpFbm6uhKnkrampSQAQpaWlUkeRpba2NmE2m8WWLVvEhAkTRGZmptSRZOWxxx4T48ePlzqG7N16661i7ty5btOmT58uUlJSJEokTwDE559/7vrZ6XSK8PBw8dxzz7mmtba2Cq1WK9avX+/zPLyy5IdOnDiByspKJCQkuKYFBAQgISEBZWVlEiaTt2PHjgEALrzwQomTyFNGRgZuvfVWt3/X5D0bN25EXFwckpOTMXToUIwaNQpvvvmm1LFkZ+zYsSgqKsL+/fsBALt378a2bdtwyy23SJxM3urr62Gz2dyOHyEhIRgzZkyfnBf5Il0/1NzcDIfDgbCwMLfpYWFh2Ldvn0Sp5M3pdCIrKwvjxo3DVVddJXUc2fnggw+wa9cuVFRUSB1Ftn799VesWrUK8+fPx6JFi1BRUYGHH34YGo0GqampUseTjYULF8JutyMmJgZKpRIOhwPLli1DSkqK1NFkzWazAUCv58Xueb7EYokIp6567N27F9u2bZM6iuwcPHgQmZmZ2LJlCwYMGCB1HNlyOp2Ii4vD8uXLAQCjRo3C3r17sXr1ahZLXvTRRx9h7dq1WLduHa688kpUVVUhKysLRqOR7SxjvA3nh4YMGQKlUonGxka36Y2NjQgPD5colXzNmzcPmzZtQklJCYYNGyZ1HNmprKxEU1MTYmNjoVKpoFKpUFpaipUrV0KlUsHhcEgdURYMBgOuuOIKt2nDhw9HQ0ODRInkacGCBVi4cCFmzJiBq6++GrNmzUJ2djZyc3OljiZr3ec+qc6LLJb8kEajwbXXXouioiLXNKfTiaKiIsTHx0uYTF6EEJg3bx4+//xzFBcXw2QySR1JliZNmoTq6mpUVVW5PnFxcUhJSUFVVRWUSqXUEWVh3LhxPYa+2L9/Py6++GKJEslTZ2cnAgLcT51KpRJOp1OiROcHk8mE8PBwt/Oi3W5HeXl5n5wXeRvOT82fPx+pqamIi4vD6NGj8fLLL6OjowNpaWlSR5ONjIwMrFu3Dhs2bMCgQYNc971DQkKg0+kkTicfgwYN6tEPLDAwEIMHD2b/MC/Kzs7G2LFjsXz5ctx5553YuXMn1qxZgzVr1kgdTVamTp2KZcuWITIyEldeeSV+/PFHvPjii5g7d67U0fq99vZ2/PLLL66f6+vrUVVVhQsvvBCRkZHIysrCM888A7PZDJPJhCVLlsBoNCIpKcn34Xz+vB39a/n5+SIyMlJoNBoxevRosWPHDqkjyQqAXj9Wq1XqaLLHoQN848svvxRXXXWV0Gq1IiYmRqxZs0bqSLJjt9tFZmamiIyMFAMGDBCXXHKJWLx4sejq6pI6Wr9XUlLS6zE5NTVVCHFq+IAlS5aIsLAwodVqxaRJk0RtbW2fZFMIwWFHiYiIiE6HfZaIiIiIPGCxREREROQBiyUiIiIiD1gsEREREXnAYomIiIjIAxZLRERERB6wWCIiIiLygMUSEZEHTz75JEaOHCl1DCKSEIslIpKlOXPmQKFQQKFQQK1WIywsDDfddBPefvttvseLiP4RFktEJFuTJ0/G4cOHceDAARQUFODGG29EZmYmEhMT8eeff0odj4j6CRZLRCRbWq0W4eHhuOiiixAbG4tFixZhw4YNKCgowDvvvAMAaG1tRXp6OkJDQxEcHIyJEydi9+7dp91mRUUFbrrpJgwZMgQhISGYMGECdu3a5Zo/d+5cJCYmuq1z8uRJDB06FG+99ZZP9pOIfIvFEhGdVyZOnIgRI0bgs88+AwAkJyejqakJBQUFqKysRGxsLCZNmoSWlpZe129ra0Nqaiq2bduGHTt2wGw2Y8qUKWhrawMApKeno7CwEIcPH3ats2nTJnR2duKuu+7y/Q4SkdexWCKi805MTAwOHDiAbdu2YefOnfj4448RFxcHs9mM559/Hnq9Hp988kmv606cOBEzZ85ETEwMhg8fjjVr1qCzsxOlpaUAgLFjx+Lyyy/H+++/71rHarUiOTkZQUFBfbJ/RORdLJaI6LwjhIBCocDu3bvR3t6OwYMHIygoyPWpr69HXV1dr+s2Njbi3nvvhdlsRkhICIKDg9He3o6GhgbXMunp6bBara7lCwoKMHfu3D7ZNyLyPpXUAYiI+lpNTQ1MJhPa29thMBjw3Xff9VhGr9f3um5qaiqOHDmCV155BRdffDG0Wi3i4+Nx4sQJ1zKzZ8/GwoULUVZWhu3bt8NkMuGGG27w0d4Qka+xWCKi80pxcTGqq6uRnZ2NYcOGwWazQaVSISoq6qzW//777/H6669jypQpAICDBw+iubnZbZnBgwcjKSkJVqsVZWVlSEtL8/ZuEFEfYrFERLLV1dUFm80Gh8OBxsZGFBYWIjc3F4mJiZg9ezYCAgIQHx+PpKQk5OXlITo6GocOHcLmzZsxbdo0xMXF9dim2WzG+++/j7i4ONjtdixYsAA6na7Hcunp6UhMTITD4UBqampf7C4R+Qj7LBGRbBUWFsJgMCAqKgqTJ09GSUkJVq5ciQ0bNkCpVEKhUOCrr77Cf/7zH6SlpSE6OhozZszAb7/9hrCwsF63+dZbb+Ho0aOIjY3FrFmz8PDDD2Po0KE9lktISIDBYIDFYoHRaPT1rhKRDymEEELqEEREctPe3o6LLroIVqsV06dPlzoOEZ0D3oYjIvIip9OJ5uZmvPDCC9Dr9bjtttukjkRE54jFEhGRFzU0NMBkMmHYsGF45513oFLxMEvU3/E2HBEREZEH7OBNRERE5AGLJSIiIiIPWCwRERERecBiiYiIiMgDFktEREREHrBYIiIiIvKAxRIRERGRByyWiIiIiDxgsURERETkwf8A0bmjYyKhQ3EAAAAASUVORK5CYII=", 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" ] @@ -134,7 +134,7 @@ "expected_values_Z_T1 = [expected_T1_decay(delay, T1) for delay in delays]\n", "\n", "# For T1 Decay\n", - "initial_state_T1 = one_rho # Assuming this is the |1⟩ state\n", + "initial_state_T1 = one_rho # Assuming this is the |1\u27e9 state\n", "trotter_step_size = 0.2\n", "\n", "results_T1 = [\n", @@ -153,7 +153,7 @@ "plt.plot(\n", " delays,\n", " expectation_values_Z_T1,\n", - " label=\"Observed for T1 Decay with |1⟩ state\",\n", + " label=\"Observed for T1 Decay with |1\u27e9 state\",\n", ")\n", "plt.plot(delays, expected_values_Z_T1, \"--\", label=\"Expected T1 Decay\")\n", "plt.legend()\n", @@ -165,12 +165,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -206,7 +206,7 @@ "plt.plot(\n", " delays,\n", " expectation_values_X_T2,\n", - " label=\"Observed for T2 Decay with |+⟩ state\",\n", + " label=\"Observed for T2 Decay with |+\u27e9 state\",\n", ")\n", "plt.plot(delays, expected_values_X_T2, \"--\", label=\"Expected T2 Decay\")\n", "plt.legend()\n", @@ -218,12 +218,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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wfft2PHjwAL/88guaNWtWam2l1fVq7WLFAcVVnJmZGTw8PBAZGYns7GwUFBTIBoe97ubNm0hPT5ed237dqwP6rly5gilTpuDQoUPIyMiQ61c0PsLOzg5BQUGYP38+Nm3ahPbt26NHjx746quvZMGnLOzs7IrVLQhCqaP3X7+6w9raGhKJRK7NxMQENjY2xdoAyMYbpaWl4dmzZwgPD0d4eHiJy3p90GPdunXl3hcNBnx9DFNJJk6ciIMHD8LV1RX169fHJ598gv79+6Ndu3ZvnO7u3btwcHAodji5UaNGss+Bwl+SX375JSIjI5GTkwNdXV3s2LEDeXl5cuHm5s2buHr1quyQ/du+8+s/n/LIzMwEANnhcmV/1q/bvXs3ZsyYgQsXLsiNGXh9e/Dz88OWLVtw7NgxdOjQAQcPHkRKSgp8fX3L9D3u3r0LDQ0N1K9fX67dwsIC1atXl/1MiqhiHb6+7QGF258i256injx5gtDQUGzevLnYdvD6OClFeXp6wtPTE9nZ2Th37hy2bNmCFStWoFu3brh27Vqpv59UVVN5tzFlFAWxksavKDKIvHbt2vjuu+8wZMgQfPfdd/j111/x008/4YcffpBdAVY0KLhatWoIDw+Hr69vsd8NpdVWWl2v1i5WDDfvgP79+2PIkCFITk7GZ599Vuplj1KpFLVr18amTZtK/Lxo5/bs2TO4u7vD2NgYP/74I+zt7aGnp4e4uDhMnDgRUqlUNs3PP/+MgIAA7Nq1C/v378eoUaMQFhaGU6dOlRgyirw+MPlVr/+jkkqlkEgk2Lt3LzQ1NYv1f/0eICX1eVN70V/vRd/rq6++gr+/f4l9X/8r6G3zfJNGjRrh+vXr2L17N6KiovD7779j2bJlCA4Oll0GW14+Pj5YuXKl7HLUrVu3omHDhnIDaqVSKZo2bYr58+eXOI/XQ6Eqf+kVjXspCgXK/qxfdezYMfTo0QMdOnTAsmXLYGlpCW1tbURERBQbpO3p6Qlzc3Ns3LgRHTp0wMaNG2FhYQEPD49yfZ/StvfXqWIdlmfbU1Tfvn0RGxuL8ePHw9nZGYaGhpBKpfj000/lfg+UhYGBAdq3b4/27dvD1NQUoaGh2Lt3b6n/9lRVU3m2MWVZWloCAB4+fFjs39HDhw/h6upa6rSCIODw4cNYs2YNfv/9d7x8+RJdunTB4MGDYWxsLOvXvXt3hIWFYc2aNQgICMDUqVPh7++PgIAA2Nvbv7G2hw8fFmsvarOyslLqu75rGG7eAV988QWGDRuGU6dOyZ2CeJ29vT0OHjyIdu3avfGX6+HDh/H48WPs2LFDNlgSABISEkrs37RpUzRt2hRTpkxBbGws2rVrhxUrVmDGjBmyIxmvDwR9/S/ZN7G3t4cgCLCzs0ODBg0Unk5ZZmZmMDIyQkFBQbl3cq960w6vWrVq8Pb2hre3N3Jzc9GrVy/MnDkTkydPLvWyXFtbW1y6dAlSqVTuL7Si04W2traytg4dOsDS0hJbtmzBRx99hEOHDuGHH36Qm5+9vT0uXryILl26KLxzVoWCggJERkbCwMBAdlVceX7Wv//+O/T09LBv3z65w+0RERHF+mpqaqJ///5Yu3Yt5syZgz/++ANDhgwpNTC8ja2tLaRSKW7evCk7ggYUDlB/9uyZ3M9E3RT9GT99+hTR0dEIDQ1FcHCwrP3mzZsqr6lowG3RjrW0GpWpqbR5VNbvEwCygeL//POPXJB58OAB7t+/j6FDhxabJjExEevWrcPatWuRmJgIa2trfPfddxg0aFCJg/dr1aqFSZMmYdKkSThy5Ah+/fVX/Pzzz5gxYwY6dOiAwMBA9OnTp9jpVmdnZxw7dqzY75HTp0/DwMCgwteNunHMzTvA0NAQy5cvx7Rp09C9e/dS+/Xt2xcFBQWYPn16sc/y8/NlAaToF/yrfwHm5uZi2bJlctNkZGQUu8tm06ZNoaGhITvcaWxsDFNTUxw9elSu3+vzepNevXpBU1MToaGhxf4qFQShzJelvk5TUxNffvklfv/992JX0gCFp63Kolq1aiUeLn+9bh0dHTg6OkIQBLlz6q/z8vJCcnKyXJDNz8/H4sWLYWhoCHd3d1m7hoYGevfujb/++gsbNmxAfn5+sSug+vbti//++w+rVq0qtqwXL17IXT6qKgUFBRg1ahSuXr2KUaNGyf4SLc/PWlNTExKJRO6oYGJiIv74448S+/v6+uLp06cYNmwYMjMz33iV1Nt4eXkBQLErj4qOhnXt2rXM81a10rbH15X0ewAo/h2VER0dXWJ70ZilDz/8EEDhUR2g+B9FytRUtDN/fR7KbGPlvRS8cePGaNiwIcLDw+W2y+XLl0MikcgNIYiPj4eHhwc++OADzJw5E82bN8eePXuQmJiI6dOnK3RVoru7OzZs2ICHDx9i6dKleP78OQIDA2WXy7965WTv3r2RkpKCHTt2yNoePXqEbdu2oXv37qK/CSyP3Lwj3nYoFyjc8IcNG4awsDBcuHABn3zyCbS1tXHz5k1s27YNCxcuRO/evdG2bVvUqFED/v7+GDVqFCQSCTZs2FDsF8GhQ4fw7bffok+fPmjQoAHy8/OxYcMGWUgoMnjwYMyePRuDBw9Gy5YtcfToUaUuM7S3t8eMGTMwefJkJCYmomfPnjAyMkJCQgJ27tyJoUOHyt2zpTxmz56NmJgYuLm5YciQIXB0dMSTJ08QFxeHgwcP4smTJ0rP08XFBVu2bEFQUBBatWoFQ0NDdO/eHZ988gksLCzQrl07mJub4+rVq1iyZAm6du0qd8nm64YOHYqVK1ciICAA586dkw0gPHHiBBYsWFBsWm9vbyxevBghISFo2rSp3JEFoHAnv3XrVgwfPhwxMTFo164dCgoKcO3aNWzdulV2P5aySk9Px8aNGwEU7iyK7lB8+/Zt+Pj4yIXt8vysu3btivnz5+PTTz9F//79kZqaiqVLl6J+/fq4dOlSsf7NmzdHkyZNZAOqW7RoUebv6OTkBH9/f4SHh8tO6545cwbr1q1Dz5490alTpzLPW9VK2x5fZ2xsjA4dOmDu3LnIy8tDnTp1sH///lKP4Cri888/h52dHbp37w57e3tkZWXh4MGD+Ouvv9CqVStZHfr6+nB0dMSWLVvQoEED1KxZE02aNEGTJk0UrsnFxQVA4eXvPj4+0NbWli1X0W3szJkz6NSpE0JCQso8qHjevHno0aMHPvnkE/j4+ODy5ctYsmQJBg8eLPdv8dy5c7IBxP7+/m8de/QmJiYm+Oabb/DNN9/g/Pnz+PXXXxEZGYn58+fLLoDo3bs3WrdujcDAQPz777+yOxQXFBSo7LR4lVZp12WRwl69FPxNXr8UvEh4eLjg4uIi6OvrC0ZGRkLTpk2FCRMmCA8ePJD1OXHihNC6dWtBX19fsLKyEiZMmCC7tLjoUsc7d+4IAwcOFOzt7QU9PT2hZs2aQqdOnYSDBw/KLS87O1sYNGiQYGJiIhgZGQl9+/YVUlNTS70UPC0trcTv8/vvvwsfffSRUK1aNaFatWpCw4YNhREjRgjXr1+X9Snt0uPS1gUAYcSIEXJtKSkpwogRIwQbGxtBW1tbsLCwELp06SKEh4fL+hRdIvr6ZfAlXU6bmZkp9O/fX6hevboAQHZJ5cqVK4UOHToItWrVEnR1dQV7e3th/PjxQnp6eonf//UaAwMDBVNTU0FHR0do2rRpiZfbC4IgSKVSwcbGRgAgzJgxo8Q+ubm5wpw5c4TGjRsLurq6Qo0aNQQXFxchNDRUrp6S1tebFF2aX/QyNDQUHBwchK+++krYv39/qdMp8rMu6VLw1atXCw4ODoKurq7QsGFDISIiQrZdlWTu3LkCAGHWrFkKf6eSLs0WhMJLeENDQwU7OztBW1tbsLGxESZPniy7dUKR0rZFZZZX2jzc3d0Fd3d32fuSLgUvbXssadu9f/++8MUXXwjVq1cXTExMhD59+ggPHjwo9m9X0UvBf/vtN8HHx0ewt7cX9PX1BT09PcHR0VH44YcfZLcwKBIbGyu4uLgIOjo6cstTtCZBEITp06cLderUETQ0NIrVp8g2Vt5LwYvs3LlTcHZ2FnR1dQVra2thypQpxS7rftstCMrrxYsXxS65f/LkiTBo0CChVq1agoGBgeDu7l7ifkWMl4JLBEGFo9OIiKqQhQsXYuzYsUhMTCzx6iMiRSUmJsLOzg4xMTFlfh5WVTVt2jTZGCCx4JgbIhIlQRCwevVquLu7M9gQvWc45oaIRCUrKwt//vknYmJiEB8fj127dqm7JCKqZAw3RCQqaWlp6N+/P6pXr47vv/8ePXr0UHdJRFTJOOaGiIiIRIVjboiIiEhUGG6IiIhIVN67MTdSqRQPHjyAkZFRpd6KnoiIiMpOEAQ8f/4cVlZWb3146HsXbh48eFDsAWdERET0brh37x6sra3f2Oe9CzdFt66/d++e3JNXiYiIqOrKyMiAjY3NGx9fU+S9CzdFp6KMjY0ZboiIiN4xigwp4YBiIiIiEhWGGyIiIhIVhhsiIiISFYYbIiIiEhWGGyIiIhIVhhsiIiISFYYbIiIiEhWGGyIiIhIVhhsiIiISlffuDsUVpUBagLjUOKRlp8HMwAxOpk64+Oii7H2L2i0AQOk+ZZ2uMvuoe/mskTWyRtbIGqtmjS1qt4CmhiYqm1rDzdGjRzFv3jycO3cODx8+xM6dO9GzZ883TnP48GEEBQXhypUrsLGxwZQpUxAQEFAp9Zbm4N2DmH1mNlKyU2RtGhINSAWp7L2JjgkgAdJz0pXqU9bpKrOPupfPGlkja2SNrLFq1mhuYI5JrpPgYeuByiQRBEGo1CW+Yu/evThx4gRcXFzQq1evt4abhIQENGnSBMOHD8fgwYMRHR2NMWPGYM+ePfD09FRomRkZGTAxMUF6erpKni118O5BBB0OggC1rUYiIqIqSYLC50DN7zi/3AFHmf23WsPNqyQSyVvDzcSJE7Fnzx5cvnxZ1ubj44Nnz54hKipKoeWoMtwUSAvg+bun3BEbIiIi+h8JJDA3MEfUl1HlOkWlzP77nRpQfPLkSXh4yCc/T09PnDx5stRpcnJykJGRIfdSlbjUOAYbIiKiNxAgIDk7GXGpcZW2zHcq3CQnJ8Pc3FyuzdzcHBkZGXjx4kWJ04SFhcHExET2srGxUVk9adlpKpsXERGRmFXmPvOdCjdlMXnyZKSnp8te9+7dU9m8zQzMVDYvIiIiMavMfeY7dSm4hYUFUlLkTwOlpKTA2NgY+vr6JU6jq6sLXV3dCqmnRe0WMDcwR2p2KgcUExERlaBozE3RpeKV4Z06ctOmTRtER0fLtR04cABt2rRRSz2aGpqY5DoJwP9GhBMREVGhon3jRNeJlXq/G7WGm8zMTFy4cAEXLlwAUHip94ULF5CUlASg8JSSn5+frP/w4cNx584dTJgwAdeuXcOyZcuwdetWjB07Vh3lAwA8bD0wv+N81DaoLdeuIZFftdV1qsNE10TpPmWdrjL7qHv5rJE1VqXls0bWWJWWr+4azQ3MVXIZuLLUein44cOH0alTp2Lt/v7+WLt2LQICApCYmIjDhw/LTTN27Fj8+++/sLa2xtSpU5W6iZ+q73NThHcoZo2ssWr0UffyWSNrZI0Vc4fid/I+N5WlosINERERVRzR3ueGiIiI6G0YboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhUGG6IiIhIVBhuiIiISFQYboiIiEhU1B5uli5dinr16kFPTw9ubm44c+bMG/svWLAAH374IfT19WFjY4OxY8fi5cuXlVQtERERVXVqDTdbtmxBUFAQQkJCEBcXBycnJ3h6eiI1NbXE/pGRkZg0aRJCQkJw9epVrF69Glu2bMH3339fyZUTERFRVaXWcDN//nwMGTIEgYGBcHR0xIoVK2BgYIA1a9aU2D82Nhbt2rVD//79Ua9ePXzyySfo16/fW4/2EBER0ftDbeEmNzcX586dg4eHx/+K0dCAh4cHTp48WeI0bdu2xblz52Rh5s6dO/j777/h5eVV6nJycnKQkZEh9yIiIiLx0lLXgh89eoSCggKYm5vLtZubm+PatWslTtO/f388evQIH330EQRBQH5+PoYPH/7G01JhYWEIDQ1Vae1ERERUdal9QLEyDh8+jFmzZmHZsmWIi4vDjh07sGfPHkyfPr3UaSZPnoz09HTZ6969e5VYMREREVU2tR25MTU1haamJlJSUuTaU1JSYGFhUeI0U6dOha+vLwYPHgwAaNq0KbKysjB06FD88MMP0NAontV0dXWhq6ur+i9AREREVZLajtzo6OjAxcUF0dHRsjapVIro6Gi0adOmxGmys7OLBRhNTU0AgCAIFVcsERERvTPUduQGAIKCguDv74+WLVvC1dUVCxYsQFZWFgIDAwEAfn5+qFOnDsLCwgAA3bt3x/z589G8eXO4ubnh1q1bmDp1Krp37y4LOURERPR+U2u48fb2RlpaGoKDg5GcnAxnZ2dERUXJBhknJSXJHamZMmUKJBIJpkyZgv/++w9mZmbo3r07Zs6cqa6vQERERFWMRHjPzudkZGTAxMQE6enpMDY2Vnc5REREpABl9t/v1NVSRERERG/DcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREosJwQ0RERKLCcENERESiwnBDREREolKmcPPs2TP8+uuvmDx5Mp48eQIAiIuLw3///afS4oiIiIiUpaXsBJcuXYKHhwdMTEyQmJiIIUOGoGbNmtixYweSkpKwfv36iqiTiIiISCFKH7kJCgpCQEAAbt68CT09PVm7l5cXjh49qtLiiIiIiJSldLg5e/Yshg0bVqy9Tp06SE5OVklRRERERGWldLjR1dVFRkZGsfYbN27AzMxMJUURERERlZXS4aZHjx748ccfkZeXBwCQSCRISkrCxIkT8eWXX6q8QCIiIiJlKB1ufv75Z2RmZqJ27dp48eIF3N3dUb9+fRgZGWHmzJkVUSMRERGRwpS+WsrExAQHDhzA8ePHcenSJWRmZqJFixbw8PCoiPqIiIiIlCIRBEFQdxGVKSMjAyYmJkhPT4exsbG6yyEiIiIFKLP/VvrIzY8//vjGz4ODg5WdJREREZHKKB1udu7cKfc+Ly8PCQkJ0NLSgr29PcMNERERqZXS4eb8+fPF2jIyMhAQEIAvvvhCJUURERERlZVKHpxpbGyM0NBQTJ06VRWzIyIiIiozlT0VPD09Henp6aqaHREREVGZKH1aatGiRXLvBUHAw4cPsWHDBnz22WcqK4yIiIioLJQON7/88ovcew0NDZiZmcHf3x+TJ09WWWFEREREZaF0uElISKiIOoiIiIhUQmVjboiIiIiqAoWO3PTq1UvhGe7YsaPMxRARERGVl0LhxsTEpKLrICIiIlIJhcJNRERERddBREREpBIcc0NERESiovTVUgCwfft2bN26FUlJScjNzZX7LC4uTiWFEREREZWF0kduFi1ahMDAQJibm+P8+fNwdXVFrVq1cOfOnTLdxG/p0qWoV68e9PT04ObmhjNnzryx/7NnzzBixAhYWlpCV1cXDRo0wN9//630comIiEiclA43y5YtQ3h4OBYvXgwdHR1MmDABBw4cwKhRo5R+/MKWLVsQFBSEkJAQxMXFwcnJCZ6enkhNTS2xf25uLj7++GMkJiZi+/btuH79OlatWoU6deoo+zWIiIhIpCSCIAjKTGBgYICrV6/C1tYWtWvXxoEDB+Dk5ISbN2+idevWePz4scLzcnNzQ6tWrbBkyRIAgFQqhY2NDUaOHIlJkyYV679ixQrMmzcP165dg7a2tjJly2RkZMDExATp6ekwNjYu0zyIiIiocimz/1Z6zI2FhQWePHkCW1tb1K1bF6dOnYKTkxMSEhKgTE7Kzc3FuXPn5B7ZoKGhAQ8PD5w8ebLEaf7880+0adMGI0aMwK5du2BmZob+/ftj4sSJ0NTULHGanJwc5OTkyN5nZGQoXCMREZEypFJpsbGopDgdHR1oaJT/Wielw03nzp3x559/onnz5ggMDMTYsWOxfft2/PPPP0rd7O/Ro0coKCiAubm5XLu5uTmuXbtW4jR37tzBoUOHMGDAAPz999+4desWvvnmG+Tl5SEkJKTEacLCwhAaGqr4FyQiIiqD3NxcJCQkQCqVqruUd5aGhgbs7Oygo6NTrvkofFpq9+7d8PLyAlCYTLW0CnPR5s2bERsbCwcHBwwbNkzhgh48eIA6deogNjYWbdq0kbVPmDABR44cwenTp4tN06BBA7x8+RIJCQmyIzXz58/HvHnz8PDhwxKXU9KRGxsbG56WIiIilREEAUlJScjLy4OVlZVKjj68b6RSKR48eABtbW3UrVsXEolE7vMKOS3Vs2dPmJubIyAgAAMHDoS9vT0AwMfHBz4+Pkp/CVNTU2hqaiIlJUWuPSUlBRYWFiVOY2lpCW1tbblTUI0aNUJycjJyc3NLDFa6urrQ1dVVuj4iIiJF5efnIzs7G1ZWVjAwMFB3Oe8sMzMzPHjwAPn5+WUeWwsocbVUQkIChg0bhs2bN6NBgwZwd3fHhg0b8OLFizItWEdHBy4uLoiOjpa1SaVSREdHyx3JeVW7du1w69YtuUN+N27cgKWlZbkPYREREZVVQUEBAHBfVE5F669ofZaVwuHGxsYGwcHBuH37Ng4ePIh69erh66+/hqWlJYYPH46zZ88qvfCgoCCsWrUK69atw9WrV/H1118jKysLgYGBAAA/Pz+5Acdff/01njx5gtGjR+PGjRvYs2cPZs2ahREjRii9bCIiIlV7/VQKKUdV669Mdyju1KkTOnXqhCVLlmDz5s1Yu3YtWrdujSZNmuDixYsKz8fb2xtpaWkIDg5GcnIynJ2dERUVJRtknJSUJHfe0sbGBvv27cPYsWPRrFkz1KlTB6NHj8bEiRPL8jWIiIhIhJS+z83r7ty5gzVr1mD58uXIyMhAXl6eqmqrELzPDRERqVrRxS52dnbQ09NTdznvrDetR2X232Uazv3ixQusX78eHTt2hIODAzZv3oygoCAkJiaWZXZEREQEoEAq4OTtx9h14T+cvP0YBdJyHX9QqYsXL0JHRwd//vmnXPvvv/8OPT09XL58WU2VFafUaalTp05hzZo12Lp1K3Jzc9GrVy8cPHgQnTp1qqj6iIiI3gtRlx8i9K9/8TD9pazN0kQPId0d8WkTS7XV9fTpU2hra8PJyQnBwcEYOnQo2rVrh1q1aiE1NRXDhw9HaGgomjRpAgBIS0uDkZGRWo9gKXzkxtHREe3atUNcXBzCwsLw8OFDbNy4kcGGiIionKIuP8TXG+Pkgg0AJKe/xNcb4xB1ueR7uVWU/Px87NmzB3369IGlpSVu374NAJg8eTLq1q0ru5Bn2LBhcHBwwLhx42TT/v3337KLjUp74kBFU/jIjYeHB3777Tc4OTlVZD1ERETvPEEQ8CJPscuZC6QCQv68gpJOQAkAJACm/fkv2tU3habG268m0tfWLPNVR/Hx8Vi7di02bdqEvLw8eHt7IyYmRrbv19TUxLp169CiRQv0798f+/btw4ULF+TuPzdgwACYmppi/fr16Ny5M+rWrQt/f3/4+vrCxsamTHUpq9wDit81HFBMRESq9vpA2OzcfDgG71NLLf/+6AkDHcVHnTx+/BgbN27EunXrcOXKFXh5ecHX1xfdunUr9b49kydPxuzZszFnzhxMmDCh1Hmnp6dj69at2LBhA2JjY9GxY0f4+/ujd+/e0NfXL9ZfrQOKiYiISBwWL16MMWPGwNDQELdu3cLOnTvRq1evUoNNZmYmtmzZAgMDAxw7duyN8zYxMcGQIUNw9OhRxMbGIiEhAX5+fti3r2KDX5nuc0NERESl09fWxL8/eirU90zCEwREvP1GuGsDW8HVrqZCy1bG0KFDoaWlhfXr16Nx48b48ssv4evri44dO5b4jKzx48dDT08PsbGxaN26NdavXw8/P78S5/3y5Uv89ddfWL9+Pfbt24fmzZtj3Lhx6NKli1I1KotHboiIiFRMIpHAQEdLoVd7BzNYmuihtFEyEhReNdXewUyh+Sk73sbKygpTpkzBjRs3EBUVBR0dHfTq1Qu2traYNGkSrly5Iut74MAB/Prrr1i3bh2cnJwwY8YMjBkzRu7h1YIg4NixYxgyZAgsLCwQFBSEJk2a4NKlSzh9+jS+/vprGBkZlWGtKo7hhoiISI00NSQI6e4IAMUCTtH7kO6OCg0mLq+2bdti5cqVSE5Oxrx583DhwgU4OTkhPj4eGRkZGDRoEMaPH49WrVoBAMaOHQtHR0cMHTpUNo+NGzfC09MT2dnZ2Lp1K+7evYuwsDA0bNiwwusvUqYBxdHR0YiOjkZqaqrcQywBYM2aNSorriJwQDEREamaKu5QXFXvc/PgwQMYGhpizJgxOHv2LM6dOyc3HufmzZtwdnbG8uXL4efnJ+tfln2sqgYUKz3mJjQ0FD/++CNatmwJS0tLPiSMiIhIBT5tYomPHS1wJuEJUp+/RG0jPbja1ayUIzZvYmVlBaD0gxcODg7Iysoq1l+dlA43K1aswNq1a+Hr61sR9RAREb23NDUkaGNfS91lvPOUHnOTm5uLtm3bVkQtREREROWmdLgZPHgwIiMjK6IWIiIionJT+rTUy5cvER4ejoMHD6JZs2bQ1taW+3z+/PkqK46IiIhIWUqHm0uXLsHZ2RkAij3enIOLiYiISN2UDjcxMTEVUQcRERGRSpTrJn7379/H/fv3VVULERERUbkpHW6kUil+/PFHmJiYwNbWFra2tqhevTqmT59e7IZ+RERERJVN6dNSP/zwA1avXo3Zs2ejXbt2AIDjx49j2rRpePnyJWbOnKnyIomIiIgUpXS4WbduHX799Vf06NFD1tasWTPUqVMH33zzDcMNERERqZXSp6WePHlS4sOvGjZsiCdPnqikKCIioveStABIOAbEby/8r7RA3RUBAG7cuAEDA4Ni97mTSqVo27YtevfurabKSqZ0uHFycsKSJUuKtS9ZsgROTk4qKYqIiOi98++fwIImwLpuwO+DCv+7oElhuxo9ffoUVlZWmD17NkaOHImHDx/KPvv5559x584drFixAkDhQzbz8/PVVaqM0uFm7ty5WLNmDRwdHTFo0CAMGjQIjo6OWLt2LebNm1cRNRIREYnbv38CW/2AjAfy7RkPC9srOeDk5+djz5496NOnDywtLXH79m2MHDkSTk5OGDJkCADg2rVrCA4ORnh4OExNTQEAq1atgrW1NcaNG4f4+PhKrflVSocbd3d33LhxA1988QWePXuGZ8+eoVevXrh+/Trat29fETUSERG9WwQByM1S7PUyA9g7AYBQ0owK/xM1sbCfIvMTSpqPYuLj4/Hdd9/B2toafn5+MDMzQ0xMDJycnCCRSBAREYFjx45h1apVCAgIgI+Pj9wY3IkTJ2LhwoW4evUqWrRogRYtWmDRokVIS0src01lIRGEcqyFd1BGRgZMTEyQnp4OY2NjdZdDREQi8PLlSyQkJMDOzg56enqFIWOWlXqK+f4BoFNN4e6PHz/Gxo0bsW7dOly5cgVeXl7w9fVFt27doKOjU6x/REQEBg8eDGtra8THx5e6L01NTUVkZCTWr1+Py5cvw8vLC/7+/ujevTu0tEq+nqnYenyFMvtvha6WunTpEpo0aQINDQ1cunTpjX2bNWumyCyJiIioCli8eDFCQ0PRvn173Lp1CzY2Nm/sHxgYiKlTp2LkyJFvDBm1a9fGmDFjMGbMGOzduxcBAQHYtWsXzp8/L3uMU0VRKNw4OzsjOTkZtWvXhrOzMyQSCUo64CORSFBQUDVGdhMREamNtkHhERRF3I0FNilwtdGA7YBtW8WWrYShQ4dCS0sL69evR+PGjfHll1/C19cXHTt2hIZGyaNXtLS0Sj36UuT58+fYvn07NmzYgKNHj8Ld3R3+/v5wdHRUqr6yUCjcJCQkwMzMTPb/RERE9AYSieKnhuw7A8ZWhYOHSxx3Iyn83L4zoKGpyioBAFZWVpgyZQqmTJmC2NhYrFu3Dr169YKRkREGDBgAX19fNG7cWKF5FRQUYP/+/diwYQP++OMP2NjYwM/PD2vXrkXdunVVXntpFBpQbGtrK3vi9927d1GnTh3ZoxeKXnXq1MHdu3crtFgiIiLR0dAEPp3z/28kr334/+8/nV0hweZ1bdu2xcqVK5GcnIx58+bhwoULcHJyUvjKp1mzZqFfv34wMjLCwYMHcf36dfzwww+VGmyAMlwt1alTpxJv1peeno5OnTqppCgiIqL3imMPoO96wNhSvt3YqrDdsUfJ01UQPT09+Pj4ICoqCklJSbC1tVVoOl9fXyQnJ2PlypVo21aBU2gVROnHLwiCIDuK86rHjx+jWjXFR2cTERHRKxx7AA27Fo7ByUwBDM0Lx9hUwhGbN7GyKn7VV2JiYol969WrV7HFKEjhcNOrVy8AhYOGAwICoKurK/usoKAAly5dUmtKIyIieudpaAJ2vGdceSkcbkxMTAAUHrkxMjKCvr6+7DMdHR20bt1adtdCIiIiInVRONxEREQAKDzkNG7cOJ6CIiIioipJ6TE3ISEhFVEHERERkUooHW4AYPv27di6dSuSkpKQm5sr91lcXJxKCiMiIiIqC6UvBV+0aBECAwNhbm6O8+fPw9XVFbVq1cKdO3fw2WefVUSNRERERApTOtwsW7YM4eHhWLx4MXR0dDBhwgQcOHAAo0aNQnp6ekXUSERERKQwpcNNUlKS7JJvfX19PH/+HEDhjXt+++031VZHREREpCSlw42FhYXsDsV169bFqVOnABQ+c6qkh2kSERERVSalw03nzp3x559/Aih87PnYsWPx8ccfw9vbG1988YXKCyQiIiJShtJXS4WHh0MqlQIARowYgVq1aiE2NhY9evTAsGHDVF4gERHR+6JAWoC41DikZafBzMAMLWq3gKaaH79QJCAgAOvWrSv187Vr18Lf378SKyqdRFDyXFJSUhJsbGyKPV9KEATcu3ev0p/8qayMjAyYmJggPT0dxsbG6i6HiIhE4OXLl0hISICdnR309PTKNI+Ddw9i9pnZSMlOkbWZG5hjkuskeNh6qKpUpT19+hTa2tooKCjAixcvin3u6+uLW7du4ezZszA1NUVaWhqMjIzKtB7etB6V2X8rfVrKzs4OaWlpxdqfPHkCOzs7ZWdHRET03jt49yCCDgfJBRsASM1ORdDhIBy8e7BS68nPz8eePXvQp08fWFpa4vbt2zAxMYGFhYXca/Xq1Th58iT++OMPmJqaAgD+/vtvWFpaYvjw4Th58mSl1l1EZU8Fz8zMLHNaJSIiEhNBEPAiv/hRjpIUSAsQdiYMAoqfSClqm31mNtws3BQ6RaWvpV/ifloR8fHxWLt2LTZt2oS8vDx4e3sjJiYGTk5Oxfru3r0bwcHB2Lx5s9znAwYMgKmpKdavX4/OnTujbt268Pf3h6+vL2xsbMpUl7IUDjdBQUEACp8KPnXqVBgYGMg+KygowOnTp+Hs7KzyAomIiN41L/JfwC3STWXzS8lOQdvNbRXqe7r/aRhoG7y94/97/PgxNm7ciHXr1uHKlSvw8vLCsmXL0K1bN+jo6JQ4zbVr1zBgwABMnjwZffr0kftMS0sLXbt2RdeuXZGeno6tW7diw4YNCA4ORseOHeHv74/evXvLPYBb1RQON+fPnwdQmEbj4+PlvrCOjg6cnJwwbtw41VdIREREFWbx4sUIDQ1F+/btcevWrbceXUlPT0fPnj3h7u6O6dOnv7GviYkJhgwZgiFDhuDMmTPo168f/Pz8YGRkhJ49e6rwW8hTONzExMQAKLz8e+HChRyMS0REVAp9LX2c7n9aob7nUs7hm+hv3tpvWZdlcDF3UWjZyhg6dCi0tLSwfv16NG7cGF9++SV8fX3RsWNHaGjID82VSqXo378/NDQ0sGnTpree/nr58iX++usvrF+/Hvv27UPz5s0xbtw4dOnSRakalaX0mJsFCxYgPz+/WPuTJ0+gpaXF0ENERO89iUSi8KmhtlZtYW5gjtTs1BLH3UgggbmBOdpata2Qy8KtrKwwZcoUTJkyBbGxsVi3bh169eoFIyMjDBgwAL6+vmjcuDEAyPqcOXMGRkZGJc5PEAQcP34c69evx7Zt22BkZISvvvoK8+bNQ8OGDVVef0mUvlrKx8cHmzdvLta+detW+Pj4qKQoIiKi94WmhiYmuU4CUBhkXlX0fqLrxEq5303btm2xcuVKJCcnY968ebhw4QKcnJwQHx+PrVu3Yvbs2ViwYAGMjIyQnJws98rMzAQAbNy4EZ6ensjOzsbWrVtx9+5dhIWFVVqwAcpwn5uaNWvixIkTaNSokVz7tWvX0K5dOzx+/FilBaoa73NDRESqVlH3ubEwsMBE14lqvc/NgwcPYGhoiM8//xyHDx8utV9ISAimTZsm61+Wfayq7nOj9GmpnJycEk9L5eXllXhzHyIiIno7D1sPdLLpVOXuUGxlZQXgf2NvFe2vTkqflnJ1dUV4eHix9hUrVsDF5e0DnYiIiKhkmhqaaGXRCl4feKGVRSu1B5t3ldJHbmbMmAEPDw9cvHhRNto5OjoaZ8+exf79+1VeIBEREZEylD5y065dO5w8eRLW1tbYunUr/vrrL9SvXx+XLl1C+/btK6JGIiIiIoUpHW4AwNnZGZGRkbhy5Qr++ecfrFmzBg4ODmUuYunSpahXrx709PTg5uaGM2fOKDTd5s2bIZFIKvRGQERERPRuKVO4uX37NqZMmYL+/fsjNTUVALB3715cuXJF6Xlt2bIFQUFBCAkJQVxcHJycnODp6Smbb2kSExMxbtw4Hi0iIiIiOUqHmyNHjqBp06Y4ffo0fv/9d9l17RcvXkRISIjSBcyfPx9DhgxBYGAgHB0dsWLFChgYGGDNmjWlTlNQUIABAwYgNDQUH3zwgdLLJCIiqghK3l2FXqOq9af0gOJJkyZhxowZCAoKkrs7YefOnbFkyRKl5pWbm4tz585h8uTJsjYNDQ14eHi88THpP/74I2rXro1Bgwbh2LFjyn4FIiIildLW1oZEIkFaWhrMzMzK/FTu95kgCEhLS4NEIoG2tna55qV0uImPj0dkZGSx9tq1a+PRo0dKzevRo0coKCiAubm5XLu5uTmuXbtW4jTHjx/H6tWrceHCBYWWkZOTg5ycHNn7jIwMpWokIiJ6G01NTVhbW+P+/ftITExUdznvLIlEAmtra2hqlu8SeKXDTfXq1fHw4UPY2dnJtZ8/fx516tQpVzFv8/z5c/j6+mLVqlUwNTVVaJqwsDCEhoZWaF1ERESGhoZwcHBAXl6eukt5Z2lra5c72ABlCDc+Pj6YOHEitm3bBolEAqlUihMnTmDcuHHw8/NTal6mpqbQ1NRESkqKXHtKSgosLCyK9b99+zYSExPRvXt3WZtUKi38IlpauH79Ouzt7eWmmTx5MoKCgmTvMzIy3vo4dyIiorLQ1NRUyc6ZykfpAcWzZs1Cw4YNYWNjg8zMTDg6OqJDhw5o27YtpkyZotS8dHR04OLigujoaFmbVCpFdHQ02rRpU6x/w4YNER8fjwsXLshePXr0QKdOnXDhwoUSQ4uuri6MjY3lXkRERCReSh+50dHRwapVqzB16lRcvnwZmZmZaN68eZnvcxMUFAR/f3+0bNkSrq6uWLBgAbKyshAYGAgA8PPzQ506dRAWFgY9PT00adJEbvrq1asDQLF2IiIiej8pHW6K1K1bV3akpDyjwr29vZGWlobg4GAkJyfD2dkZUVFRskHGSUlJ0NAo0+14iIiI6D0kEcpwUfnq1avxyy+/4ObNmwAABwcHjBkzBoMHD1Z5gaqmzCPTiYiIqGpQZv+t9JGb4OBgzJ8/HyNHjpSNizl58iTGjh2LpKQk/Pjjj2WrmoiIiEgFlD5yY2ZmhkWLFqFfv35y7b/99htGjhyp9L1uKhuP3BAREb17lNl/Kz2YJS8vDy1btizW7uLigvz8fGVnR0RERKRSSocbX19fLF++vFh7eHg4BgwYoJKiiIiIiMqqTFdLrV69Gvv370fr1q0BAKdPn0ZSUhL8/Pzkbpg3f/581VRJREREpCClw83ly5fRokULAIV3DAYK7zRsamqKy5cvy/rxoWFERESkDkqHm5iYmIqog4iIiEgllB5zk5aWVupn8fHx5SqGiIiIqLyUDjdNmzbFnj17irX/9NNPcHV1VUlRRERERGWldLgJCgrCl19+ia+//hovXrzAf//9hy5dumDu3LmIjIysiBqJiIiIFFamxy+cP38evr6+yMnJwZMnT+Dm5oY1a9bAwsKiImpUKd7Ej4iI6N1ToTfxA4D69eujSZMmSExMREZGBry9vd+JYENERETip3S4OXHiBJo1a4abN2/i0qVLWL58OUaOHAlvb288ffq0ImokIiIiUpjS4aZz587w9vbGqVOn0KhRIwwePBjnz59HUlISmjZtWhE1EhERESlM6fvc7N+/H+7u7nJt9vb2OHHiBGbOnKmywoiIiIjKokwDit9lHFBMRET07qmQAcVeXl5IT0+XvZ89ezaePXsme//48WM4OjoqXy0RERGRCikcbvbt24ecnBzZ+1mzZuHJkyey9/n5+bh+/bpqqyMiIiJSksLh5vWzV+/Z2SwiIiJ6R5TpPjdEREREVZXC4UYikUAikRRrIyIiIqpKFL4UXBAEBAQEQFdXFwDw8uVLDB8+HNWqVQMAufE4REREROqicLjx9/eXe//VV18V6+Pn51f+ioiIiIjKQeFwExERUZF1EBEREakEBxQTERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkagw3BAREZGoMNwQERGRqDDcEBERkahUiXCzdOlS1KtXD3p6enBzc8OZM2dK7btq1Sq0b98eNWrUQI0aNeDh4fHG/kRERPR+UXu42bJlC4KCghASEoK4uDg4OTnB09MTqampJfY/fPgw+vXrh5iYGJw8eRI2Njb45JNP8N9//1Vy5URERFQVSQRBENRZgJubG1q1aoUlS5YAAKRSKWxsbDBy5EhMmjTprdMXFBSgRo0aWLJkCfz8/N7aPyMjAyYmJkhPT4exsXG56yciIqKKp8z+W61HbnJzc3Hu3Dl4eHjI2jQ0NODh4YGTJ08qNI/s7Gzk5eWhZs2aFVUmERERvUO01LnwR48eoaCgAObm5nLt5ubmuHbtmkLzmDhxIqysrOQC0qtycnKQk5Mje5+RkVH2gomIiKjKU/uYm/KYPXs2Nm/ejJ07d0JPT6/EPmFhYTAxMZG9bGxsKrlKIiIiqkxqDTempqbQ1NRESkqKXHtKSgosLCzeOO1PP/2E2bNnY//+/WjWrFmp/SZPnoz09HTZ6969eyqpnYiIiKomtYYbHR0duLi4IDo6WtYmlUoRHR2NNm3alDrd3LlzMX36dERFRaFly5ZvXIauri6MjY3lXkRERCReah1zAwBBQUHw9/dHy5Yt4erqigULFiArKwuBgYEAAD8/P9SpUwdhYWEAgDlz5iA4OBiRkZGoV68ekpOTAQCGhoYwNDRU2/cgIiKiqkHt4cbb2xtpaWkIDg5GcnIynJ2dERUVJRtknJSUBA2N/x1gWr58OXJzc9G7d2+5+YSEhGDatGmVWToRERFVQWq/z01l431uiIiI3j3vzH1uiIiIiFSN4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhERUvdBYhFQX4+rp3ehxdP/4N+jTpwcOmCm+eiZe8bunkCgNJ9yjpdZfZR9/JZI2tkjayRNVbNGhu6eUJTq/KjhkQQBKHSl/qapUuXYt68eUhOToaTkxMWL14MV1fXUvtv27YNU6dORWJiIhwcHDBnzhx4eXkptKyMjAyYmJggPT0dxsbGKqn//L51sDoZCnM8lrUVCBJoSv63ap/CEBIA1ZGpVJ+yTleZfdS9fNbIGlkja2SNVbPGFNTCgzYhaO7pj/JSZv+t9nCzZcsW+Pn5YcWKFXBzc8OCBQuwbds2XL9+HbVr1y7WPzY2Fh06dEBYWBi6deuGyMhIzJkzB3FxcWjSpMlbl6fqcHN+3zo4xY4CAGhI/tcuCIDktfdA8TZF+pR1usrso+7ls0bWWJWWzxpZY1VavjprlP5/28W2i8odcN6pcOPm5oZWrVphyZIlAACpVAobGxuMHDkSkyZNKtbf29sbWVlZ2L17t6ytdevWcHZ2xooVK966PFWGm4L8fDya0QBmwmO5YENERESFpAKQKqkFsyk3ynWKSpn9t1oHFOfm5uLcuXPw8PCQtWloaMDDwwMnT54scZqTJ0/K9QcAT0/PUvvn5OQgIyND7qUq107vgzkYbIiIiEqjIQEs8BjXTu+rvGVW2pJK8OjRIxQUFMDc3Fyu3dzcHMnJySVOk5ycrFT/sLAwmJiYyF42NjaqKR7Ai6f/qWxeREREYlaZ+0zRXwo+efJkpKeny1737t1T2bz1a9RR2byIiIjErDL3mWq9FNzU1BSamppISUmRa09JSYGFhUWJ01hYWCjVX1dXF7q6uqop+DUN3TyRcqAWx9wQERGVomjMTdGl4pVBrUdudHR04OLigujoaFmbVCpFdHQ02rRpU+I0bdq0kesPAAcOHCi1f0XS1NLCgzYhAP43IrzI68O0BaHkNkX6lHW6yuyj7uWzRtZYlZbPGlljVVq+Omss2jc+bBNSqfe7UftpqaCgIKxatQrr1q3D1atX8fXXXyMrKwuBgYEAAD8/P0yePFnWf/To0YiKisLPP/+Ma9euYdq0afjnn3/w7bffqqX+5p7+uNh2EdIkteTapa+t2mcSQ6RLDJXuU9bpKrOPupfPGlljVVo+a2SNVWn56q4xVVJLJZeBK0vtdyj29vZGWloagoODkZycDGdnZ0RFRckGDSclJUFD438rsG3btoiMjMSUKVPw/fffw8HBAX/88YdC97ipKM09/VHQZQCuvHbnxmsl3LlR2T5lna4y+6h7+ayRNbJG1sgaq2aNDd08YfG+3qG4MlXEHYqJiIioYr0z97khIiIiUjWGGyIiIhIVhhsiIiISFYYbIiIiEhWGGyIiIhIVhhsiIiISFYYbIiIiEhWGGyIiIhIVhhsiIiISFbU/fqGyFd2QOSMjQ82VEBERkaKK9tuKPFjhvQs3z58/BwDY2NiouRIiIiJS1vPnz2FiYvLGPu/ds6WkUikePHgAIyMjSCQSlc47IyMDNjY2uHfvHp9bVYG4nisH13Pl4HquPFzXlaOi1rMgCHj+/DmsrKzkHqhdkvfuyI2Ghgasra0rdBnGxsb8h1MJuJ4rB9dz5eB6rjxc15WjItbz247YFOGAYiIiIhIVhhsiIiISFYYbFdLV1UVISAh0dXXVXYqocT1XDq7nysH1XHm4ritHVVjP792AYiIiIhI3HrkhIiIiUWG4ISIiIlFhuCEiIiJRYbghIiIiUWG4UZGlS5eiXr160NPTg5ubG86cOaPukkQnLCwMrVq1gpGREWrXro2ePXvi+vXr6i5L1GbPng2JRIIxY8aouxRR+u+///DVV1+hVq1a0NfXR9OmTfHPP/+ouyxRKSgowNSpU2FnZwd9fX3Y29tj+vTpCj2fiEp39OhRdO/eHVZWVpBIJPjjjz/kPhcEAcHBwbC0tIS+vj48PDxw8+bNSquP4UYFtmzZgqCgIISEhCAuLg5OTk7w9PREamqquksTlSNHjmDEiBE4deoUDhw4gLy8PHzyySfIyspSd2midPbsWaxcuRLNmjVTdymi9PTpU7Rr1w7a2trYu3cv/v33X/z888+oUaOGuksTlTlz5mD58uVYsmQJrl69ijlz5mDu3LlYvHixukt7p2VlZcHJyQlLly4t8fO5c+di0aJFWLFiBU6fPo1q1arB09MTL1++rJwCBSo3V1dXYcSIEbL3BQUFgpWVlRAWFqbGqsQvNTVVACAcOXJE3aWIzvPnzwUHBwfhwIEDgru7uzB69Gh1lyQ6EydOFD766CN1lyF6Xbt2FQYOHCjX1qtXL2HAgAFqqkh8AAg7d+6UvZdKpYKFhYUwb948WduzZ88EXV1d4bfffquUmnjkppxyc3Nx7tw5eHh4yNo0NDTg4eGBkydPqrEy8UtPTwcA1KxZU82ViM+IESPQtWtXue2aVOvPP/9Ey5Yt0adPH9SuXRvNmzfHqlWr1F2W6LRt2xbR0dG4ceMGAODixYs4fvw4PvvsMzVXJl4JCQlITk6W+/1hYmICNze3StsvvncPzlS1R48eoaCgAObm5nLt5ubmuHbtmpqqEj+pVIoxY8agXbt2aNKkibrLEZXNmzcjLi4OZ8+eVXcponbnzh0sX74cQUFB+P7773H27FmMGjUKOjo68Pf3V3d5ojFp0iRkZGSgYcOG0NTUREFBAWbOnIkBAwaouzTRSk5OBoAS94tFn1U0hht6J40YMQKXL1/G8ePH1V2KqNy7dw+jR4/GgQMHoKenp+5yRE0qlaJly5aYNWsWAKB58+a4fPkyVqxYwXCjQlu3bsWmTZsQGRmJxo0b48KFCxgzZgysrKy4nkWMp6XKydTUFJqamkhJSZFrT0lJgYWFhZqqErdvv/0Wu3fvRkxMDKytrdVdjqicO3cOqampaNGiBbS0tKClpYUjR45g0aJF0NLSQkFBgbpLFA1LS0s4OjrKtTVq1AhJSUlqqkicxo8fj0mTJsHHxwdNmzaFr68vxo4di7CwMHWXJlpF+z517hcZbspJR0cHLi4uiI6OlrVJpVJER0ejTZs2aqxMfARBwLfffoudO3fi0KFDsLOzU3dJotOlSxfEx8fjwoULslfLli0xYMAAXLhwAZqamuouUTTatWtX7FYGN27cgK2trZoqEqfs7GxoaMjv6jQ1NSGVStVUkfjZ2dnBwsJCbr+YkZGB06dPV9p+kaelVCAoKAj+/v5o2bIlXF1dsWDBAmRlZSEwMFDdpYnKiBEjEBkZiV27dsHIyEh27tbExAT6+vpqrk4cjIyMio1hqlatGmrVqsWxTSo2duxYtG3bFrNmzULfvn1x5swZhIeHIzw8XN2liUr37t0xc+ZM1K1bF40bN8b58+cxf/58DBw4UN2lvdMyMzNx69Yt2fuEhARcuHABNWvWRN26dTFmzBjMmDEDDg4OsLOzw9SpU2FlZYWePXtWToGVck3We2Dx4sVC3bp1BR0dHcHV1VU4deqUuksSHQAlviIiItRdmqjxUvCK89dffwlNmjQRdHV1hYYNGwrh4eHqLkl0MjIyhNGjRwt169YV9PT0hA8++ED44YcfhJycHHWX9k6LiYkp8fexv7+/IAiFl4NPnTpVMDc3F3R1dYUuXboI169fr7T6JILA2zQSERGReHDMDREREYkKww0RERGJCsMNERERiQrDDREREYkKww0RERGJCsMNERERiQrDDREREYkKww0Ricq0adPg7Oys7jKISI0YboioSggICIBEIoFEIoG2tjbMzc3x8ccfY82aNXwOEBEpheGGiKqMTz/9FA8fPkRiYiL27t2LTp06YfTo0ejWrRvy8/PVXR4RvSMYboioytDV1YWFhQXq1KmDFi1a4Pvvv8euXbuwd+9erF27FgDw7NkzDB48GGZmZjA2Nkbnzp1x8eLFUud59uxZfPzxxzA1NYWJiQnc3d0RFxcn+3zgwIHo1q2b3DR5eXmoXbs2Vq9eXSHfk4gqFsMNEVVpnTt3hpOTE3bs2AEA6NOnD1JTU7F3716cO3cOLVq0QJcuXfDkyZMSp3/+/Dn8/f1x/PhxnDp1Cg4ODvDy8sLz588BAIMHD0ZUVBQePnwom2b37t3Izs6Gt7d3xX9BIlI5hhsiqvIaNmyIxMREHD9+HGfOnMG2bdvQsmVLODg44KeffkL16tWxffv2Eqft3LkzvvrqKzRs2BCNGjVCeHg4srOzceTIEQBA27Zt8eGHH2LDhg2yaSIiItCnTx8YGhpWyvcjItViuCGiKk8QBEgkEly8eBGZmZmoVasWDA0NZa+EhATcvn27xGlTUlIwZMgQODg4wMTEBMbGxsjMzERSUpKsz+DBgxERESHrv3fvXgwcOLBSvhsRqZ6WugsgInqbq1evws7ODpmZmbC0tMThw4eL9alevXqJ0/r7++Px48dYuHAhbG1toaurizZt2iA3N1fWx8/PD5MmTcLJkycRGxsLOzs7tG/fvoK+DRFVNIYbIqrSDh06hPj4eIwdOxbW1tZITk6GlpYW6tWrp9D0J06cwLJly+Dl5QUAuHfvHh49eiTXp1atWujZsyciIiJw8uRJBAYGqvprEFElYrghoiojJycHycnJKCgoQEpKCqKiohAWFoZu3brBz88PGhoaaNOmDXr27Im5c+eiQYMGePDgAfbs2YMvvvgCLVu2LDZPBwcHbNiwAS1btkRGRgbGjx8PfX39Yv0GDx6Mbt26oaCgAP7+/pXxdYmognDMDRFVGVFRUbC0tES9evXw6aefIiYmBosWLcKuXbugqakJiUSCv//+Gx06dEBgYCAaNGgAHx8f3L17F+bm5iXOc/Xq1Xj69ClatGgBX19fjBo1CrVr1y7Wz8PDA5aWlvD09ISVlVVFf1UiqkASQRAEdRdBRKRumZmZqFOnDiIiItCrVy91l0NE5cDTUkT0XpNKpXj06BF+/vlnVK9eHT169FB3SURUTgw3RPReS0pKgp2dHaytrbF27VpoafHXItG7jqeliIiISFQ4oJiIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiESF4YaIiIhEheGGiIiIRIXhhoiIiETl/wDrBMSfR/kTCQAAAABJRU5ErkJggg==", + "image/png": 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", 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", + "image/png": 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", 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", 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", "text/plain": [ "
" ] @@ -283,7 +283,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -320,9 +320,22 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "AttributeError", + "evalue": "type object 'ErrorChannel' has no attribute 'from_combined_channels'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m/home/evm9/quantum_logical/src/notebooks/noisy_simulation/00_basic_fidelity.ipynb Cell 10\u001b[0m line \u001b[0;36m1\n\u001b[1;32m 13\u001b[0m \u001b[39m# Run experiments\u001b[39;00m\n\u001b[1;32m 14\u001b[0m \u001b[39mfor\u001b[39;00m delay \u001b[39min\u001b[39;00m delays:\n\u001b[1;32m 15\u001b[0m \u001b[39m# X gate followed by noise\u001b[39;00m\n\u001b[0;32m---> 16\u001b[0m exp_values_x, fidelity_x \u001b[39m=\u001b[39m single_qubit_experiment(\n\u001b[1;32m 17\u001b[0m initial_state, delay, trotter_step_size, unitary\u001b[39m=\u001b[39;49mX_gate\n\u001b[1;32m 18\u001b[0m )\n\u001b[1;32m 19\u001b[0m \u001b[39mfor\u001b[39;00m key \u001b[39min\u001b[39;00m exp_values_x:\n\u001b[1;32m 20\u001b[0m expectations_over_time_x[key]\u001b[39m.\u001b[39mappend(exp_values_x[key])\n", + "\u001b[1;32m/home/evm9/quantum_logical/src/notebooks/noisy_simulation/00_basic_fidelity.ipynb Cell 10\u001b[0m line \u001b[0;36m1\n\u001b[1;32m 8\u001b[0m phase_damp_channel \u001b[39m=\u001b[39m PhaseDamping(T2, trotter_step_size)\n\u001b[1;32m 10\u001b[0m \u001b[39m# Combine channels\u001b[39;00m\n\u001b[0;32m---> 11\u001b[0m combined_channel \u001b[39m=\u001b[39m ErrorChannel\u001b[39m.\u001b[39;49mfrom_combined_channels(\n\u001b[1;32m 12\u001b[0m [amp_damp_channel, phase_damp_channel], trotter_step_size, \u001b[39m2\u001b[39m\n\u001b[1;32m 13\u001b[0m )\n\u001b[1;32m 15\u001b[0m \u001b[39m# Initial state\u001b[39;00m\n\u001b[1;32m 16\u001b[0m rho_final \u001b[39m=\u001b[39m rho_initial\n", + "\u001b[0;31mAttributeError\u001b[0m: type object 'ErrorChannel' has no attribute 'from_combined_channels'" + ] + } + ], "source": [ "delays = np.linspace(0, 5, 50) # Sweeping delay from 0 to 10\n", "trotter_step_size = 0.1\n", @@ -358,7 +371,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -430,7 +443,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.17" + "version": "3.9.16" } }, "nbformat": 4, diff --git a/src/notebooks/noisy_simulation/01_multi_qubit_channel.ipynb b/src/notebooks/noisy_simulation/01_multi_qubit_channel.ipynb index 9149333..90f1c25 100644 --- a/src/notebooks/noisy_simulation/01_multi_qubit_channel.ipynb +++ b/src/notebooks/noisy_simulation/01_multi_qubit_channel.ipynb @@ -2,49 +2,15 @@ "cells": [ { "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The snakeviz extension is already loaded. To reload it, use:\n", - " %reload_ext snakeviz\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[autoreload of quantum_logical.error_channel failed: Traceback (most recent call last):\n", - " File \"/home/evm9/quantum_logical/.venv/lib/python3.9/site-packages/IPython/extensions/autoreload.py\", line 276, in check\n", - " superreload(m, reload, self.old_objects)\n", - " File \"/home/evm9/quantum_logical/.venv/lib/python3.9/site-packages/IPython/extensions/autoreload.py\", line 475, in superreload\n", - " module = reload(module)\n", - " File \"/usr/lib/python3.9/importlib/__init__.py\", line 169, in reload\n", - " _bootstrap._exec(spec, module)\n", - " File \"\", line 613, in _exec\n", - " File \"\", line 850, in exec_module\n", - " File \"\", line 228, in _call_with_frames_removed\n", - " File \"/home/evm9/quantum_logical/src/quantum_logical/error_channel.py\", line 11, in \n", - " from quantum_logical._lib import (\n", - "ImportError: cannot import name 'apply_error_channel_with_unitary' from 'quantum_logical._lib' (/home/evm9/quantum_logical/src/quantum_logical/_lib.cpython-39-x86_64-linux-gnu.so)\n", - "]\n" - ] - } - ], - "source": [ - "%load_ext snakeviz" - ] - }, - { - "cell_type": "code", - "execution_count": 18, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ - "from quantum_logical.error_channel import AmplitudeDamping, PhaseDamping\n", + "from quantum_logical.error_channel import (\n", + " AmplitudeDamping,\n", + " PhaseDamping,\n", + " MultiQubitErrorChannel,\n", + ")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from qutip.metrics import fidelity\n", @@ -53,18 +19,19 @@ "from qutip import expect\n", "from quantum_logical.error_channel import ErrorChannel\n", "from qutip import qeye, tensor\n", - "import qutip" + "import qutip\n", + "from tqdm import tqdm" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Define the number of qubits\n", - "N = 5 # Number of qubits\n", - "delays = np.linspace(0, 25, 25) # Sweeping delay from 0 to 10\n", + "N = 4 # Number of qubits\n", + "delays = np.linspace(0, 25, 40) # Sweeping delay from 0 to 10\n", "\n", "# Initialize T1 and T2 times for each qubit\n", "T1s = [1] * N\n", @@ -86,64 +53,7 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "class MultiQubitErrorChannel(ErrorChannel):\n", - " \"\"\"A class for error channels that can be applied to multi-qubit systems.\"\"\"\n", - "\n", - " def __init__(self, T1s, T2s, trotter_dt):\n", - " \"\"\"\n", - " Initializes with given arrays of T1 and T2 times for each qubit, and a trotter step size.\n", - " \"\"\"\n", - " assert len(T1s) == len(\n", - " T2s\n", - " ), \"Arrays of T1 and T2 times must have the same length\"\n", - " self.num_qubits = len(T1s)\n", - " self.T1s = T1s\n", - " self.T2s = T2s\n", - " dims = 2**self.num_qubits\n", - " self.trotter_dt = trotter_dt\n", - " super().__init__(trotter_dt, dims)\n", - "\n", - " def _init_kraus_operators(self):\n", - " \"\"\"\n", - " Creates the multi-qubit Kraus operators for the error channels.\n", - " \"\"\"\n", - " # Create single-qubit Kraus operators for amplitude and phase damping for each qubit\n", - " kraus_ops = []\n", - "\n", - " for T1, T2 in zip(self.T1s, self.T2s):\n", - " # Combine amplitude and phase damping operators for each qubit\n", - " amps = AmplitudeDamping(T1, self.trotter_dt).E\n", - " phases = PhaseDamping(T2, self.trotter_dt).E\n", - " combined_ops = amps + phases\n", - "\n", - " # Normalize the combined operators for each qubit\n", - " normalization_factor = np.sqrt(2 * N) # ?\n", - " normalized_ops = [\n", - " qutip.Qobj(op) / normalization_factor for op in combined_ops\n", - " ]\n", - "\n", - " kraus_ops.append(normalized_ops)\n", - "\n", - " # Tensor the single-qubit Kraus operators together with identity operators for the other qubits\n", - " multi_qubit_kraus_ops = []\n", - "\n", - " for i in range(self.num_qubits):\n", - " for op in kraus_ops[i]:\n", - " kraus_op_multi = [\n", - " op if k == i else qeye(2) for k in range(self.num_qubits)\n", - " ]\n", - " multi_qubit_kraus_ops.append(tensor(*kraus_op_multi))\n", - "\n", - " return multi_qubit_kraus_ops" - ] - }, - { - "cell_type": "code", - "execution_count": 21, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -164,7 +74,7 @@ "\n", "\n", "def multi_qubit_experiment(rho_initial, delay, trotter_step_size, T1s, T2s):\n", - " error_channel = MultiQubitErrorChannel(T1s, T2s, trotter_step_size)\n", + " error_channel = MultiQubitErrorChannel(N, T1s, T2s, trotter_step_size)\n", " rho_final = error_channel.apply_error_channel(rho_initial, delay)\n", " fid = fidelity(rho_initial, rho_final)\n", " return rho_final, fid" @@ -172,43 +82,65 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 4, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "# Plot the decay for the observables\n", "def plot_observable_decay(\n", " state, observables, observable_labels, delays, trotter_step_size, T1s, T2s\n", "):\n", " plt.figure(figsize=(4, 4))\n", + "\n", + " # Precompute the final states for each delay\n", + " final_states = []\n", + " for delay in tqdm(delays):\n", + " rho_final, _ = multi_qubit_experiment(state, delay, trotter_step_size, T1s, T2s)\n", + " final_states.append(rho_final)\n", + "\n", + " # Calculate and plot expectation values for each observable\n", " for label in observable_labels:\n", " obs = observables[label]\n", - " exp_values = []\n", - " for delay in delays:\n", - " rho_final, _ = multi_qubit_experiment(\n", - " state, delay, trotter_step_size, T1s, T2s\n", - " )\n", - " exp_value = expect(obs, rho_final)\n", - " exp_values.append(exp_value)\n", + " exp_values = [expect(obs, rho_final) for rho_final in final_states]\n", " plt.plot(delays, exp_values, \"-.\", label=label)\n", + "\n", " plt.legend()\n", " plt.xlabel(\"Delay\")\n", " plt.ylabel(\"Expectation Value\")\n", " plt.title(\"Observable Expectation Values Over Time\")\n", - " plt.show()\n", - "\n", - "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/40 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ "# Generate the observables and their labels\n", "observables, observable_labels = define_observables(N)\n", "\n", @@ -226,12 +158,26 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 6, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/40 [00:00" ] @@ -255,7 +201,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -285,7 +231,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.17" + "version": "3.9.16" } }, "nbformat": 4, diff --git a/src/notebooks/noisy_simulation/02_qutrit_gad.ipynb b/src/notebooks/noisy_simulation/02_qutrit_gad.ipynb index 4accda6..3d355ba 100644 --- a/src/notebooks/noisy_simulation/02_qutrit_gad.ipynb +++ b/src/notebooks/noisy_simulation/02_qutrit_gad.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 45, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -14,6 +14,7 @@ "from qutip import basis\n", "from quantum_logical.error_channel import (\n", " QutritAmplitudeDamping,\n", + " MultiQutritErrorChannel,\n", ")\n", "import matplotlib.pyplot as plt\n", "from qutip.metrics import fidelity\n", @@ -25,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -50,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -70,12 +71,12 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -121,12 +122,12 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -146,52 +147,14 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": null, "metadata": {}, "outputs": [], - "source": [ - "class MultiQutritErrorChannel(ErrorChannel):\n", - " def __init__(self, tau, k1, k2, trotter_dt, num_qutrits):\n", - " self.num_qutrits = num_qutrits\n", - " self.tau = tau\n", - " self.k1 = k1\n", - " self.k2 = k2\n", - " self.trotter_dt = trotter_dt\n", - " dims = 3**num_qutrits\n", - " super().__init__(trotter_dt, dims)\n", - "\n", - " def _init_kraus_operators(self):\n", - " kraus_ops = []\n", - " for _ in range(self.num_qutrits):\n", - " # Initialize the single-qutrit amplitude damping channel\n", - " single_qutrit_channel = QutritAmplitudeDamping(\n", - " self.tau, self.k1, self.k2, self.trotter_dt\n", - " )\n", - " kraus_ops_single = single_qutrit_channel.E\n", - "\n", - " # Normalize if needed\n", - " normalization_factor = np.sqrt(1 * N)\n", - " normalized_ops = [\n", - " qutip.Qobj(op) / normalization_factor for op in kraus_ops_single\n", - " ]\n", - "\n", - " kraus_ops.append(normalized_ops)\n", - "\n", - " # tensor wiith identity operators to create the multi-qutrit kraus operators\n", - " multi_qutrit_kraus_ops = []\n", - " for i in range(self.num_qutrits):\n", - " for op in kraus_ops[i]:\n", - " kraus_op_multi = [\n", - " op if k == i else qeye(3) for k in range(self.num_qutrits)\n", - " ]\n", - " multi_qutrit_kraus_ops.append(tensor(*kraus_op_multi))\n", - "\n", - " return multi_qutrit_kraus_ops" - ] + "source": [] }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -228,7 +191,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -243,7 +206,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -269,12 +232,12 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -292,9 +255,20 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Define encoded state to be [|g> + |f>]\n", "encoded_state = basis(3, 0) + basis(3, 2)\n", @@ -324,7 +298,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.17" + "version": "3.9.16" } }, "nbformat": 4, diff --git a/src/notebooks/noisy_simulation/04_iswap_crosskerr.ipynb b/src/notebooks/noisy_simulation/04_iswap_crosskerr.ipynb new file mode 100644 index 0000000..e8d0871 --- /dev/null +++ b/src/notebooks/noisy_simulation/04_iswap_crosskerr.ipynb @@ -0,0 +1,172 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 334, + "metadata": {}, + "outputs": [], + "source": [ + "from quantum_logical._lib import apply_operators_in_place as rust_apply\n", + "from quantum_logical.error_channel import AmplitudeDamping, PhaseDamping\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip.metrics import fidelity\n", + "from qutip.operators import sigmax, sigmay, sigmaz\n", + "from qutip import basis\n", + "from qutip import expect\n", + "from quantum_logical.error_channel import ErrorChannel\n", + "from qutip import Qobj, tensor\n", + "from scipy.linalg import fractional_matrix_power" + ] + }, + { + "cell_type": "code", + "execution_count": 335, + "metadata": {}, + "outputs": [], + "source": [ + "from quantum_logical.interaction import ConversionGainInteraction\n", + "\n", + "gc, gg = np.pi / 2, 0\n", + "trotter_dt = 0.1\n", + "duration = 1.0" + ] + }, + { + "cell_type": "code", + "execution_count": 336, + "metadata": {}, + "outputs": [], + "source": [ + "one_rho = basis(2, 1) * basis(2, 1).dag() # |1><1|\n", + "initial_state = tensor([one_rho] * 2)\n", + "\n", + "\n", + "# |01><01|\n", + "initial_state = (\n", + " tensor([basis(2, 0), basis(2, 1)]) * tensor([basis(2, 0), basis(2, 1)]).dag()\n", + ")\n", + "\n", + "# bell state |00> + |11>\n", + "initial_state = tensor([basis(2, 0), basis(2, 0)]) + tensor([basis(2, 1), basis(2, 1)])\n", + "initial_state = initial_state * initial_state.dag()\n", + "\n", + "# |00> + |01>\n", + "initial_state = tensor([basis(2, 0), basis(2, 0)]) + tensor([basis(2, 0), basis(2, 1)])\n", + "initial_state = initial_state * initial_state.dag()\n", + "\n", + "\n", + "initial_state /= initial_state.norm()\n", + "initial_state = initial_state.full()\n", + "initial_state = Qobj(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 337, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False $ \\\\ \\left(\\begin{matrix}1.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & -1.0j & 0.0\\\\0.0 & -1.0j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0\\\\\\end{matrix}\\right)$" + ], + "text/plain": [ + "Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", + "Qobj data =\n", + "[[1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [0.+0.j 0.+0.j 0.-1.j 0.+0.j]\n", + " [0.+0.j 0.-1.j 0.+0.j 0.+0.j]\n", + " [0.+0.j 0.+0.j 0.+0.j 1.+0.j]]" + ] + }, + "execution_count": 337, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "H = ConversionGainInteraction(gc, gg)\n", + "iswap = H.construct_U(t=duration)\n", + "iswap" + ] + }, + { + "cell_type": "code", + "execution_count": 348, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = False $ \\\\ \\left(\\begin{matrix}(2.441\\times10^{+06}+9.604\\times10^{-12}j) & (2.430\\times10^{+06}+9.475\\times10^{+04}j) & (2.430\\times10^{+06}+9.475\\times10^{+04}j) & (2.441\\times10^{+06}+9.604\\times10^{-12}j)\\\\(2.430\\times10^{+06}-9.475\\times10^{+04}j) & (2.441\\times10^{+06}+1.029\\times10^{-11}j) & (2.441\\times10^{+06}+2.851\\times10^{-10}j) & (2.430\\times10^{+06}-9.475\\times10^{+04}j)\\\\(2.430\\times10^{+06}-9.475\\times10^{+04}j) & (2.441\\times10^{+06}-2.517\\times10^{-10}j) & (2.441\\times10^{+06}+1.201\\times10^{-11}j) & (2.430\\times10^{+06}-9.475\\times10^{+04}j)\\\\(2.441\\times10^{+06}+9.604\\times10^{-12}j) & (2.430\\times10^{+06}+9.475\\times10^{+04}j) & (2.430\\times10^{+06}+9.475\\times10^{+04}j) & (2.441\\times10^{+06}+9.604\\times10^{-12}j)\\\\\\end{matrix}\\right)$" + ], + "text/plain": [ + "Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = False\n", + "Qobj data =\n", + "[[2441406.5 +9.60357713e-12j 2430220.66960511+9.47506831e+04j\n", + " 2430220.66960511+9.47511831e+04j 2441406. +9.60357713e-12j]\n", + " [2430220.66960511-9.47506831e+04j 2441406. +1.02876332e-11j\n", + " 2441406. +2.85089583e-10j 2430220.66960511-9.47506831e+04j]\n", + " [2430220.66960511-9.47511831e+04j 2441406. -2.51666123e-10j\n", + " 2441406.5 +1.20071995e-11j 2430220.66960511-9.47506831e+04j]\n", + " [2441406. +9.60357713e-12j 2430220.66960511+9.47506831e+04j\n", + " 2430220.66960511+9.47506831e+04j 2441406. +9.60357713e-12j]]" + ] + }, + "execution_count": 348, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "class MultiQubitErrorChannel(ErrorChannel):\n", + " \"\"\"A class for error channels that can be applied to multi-qubit systems.\"\"\"\n", + "\n", + " def __init__(self, chi, trotter_dt):\n", + " \"\"\"\n", + " Initializes with given arrays of T1 and T2 times for each qubit, and a trotter step size.\n", + " \"\"\"\n", + " self.N = 2\n", + " self.chi = chi\n", + " self.num_qubits = 2\n", + " dims = 2**self.num_qubits\n", + " self.trotter_dt = trotter_dt\n", + " super().__init__(trotter_dt, dims)\n", + "\n", + " def _init_kraus_operators(self):\n", + " \"\"\"\n", + " Creates the multi-qubit Kraus operators for the error channels.\n", + " \"\"\"\n", + " zz = tensor(sigmaz(), sigmaz())\n", + " return (-1j * self.chi * zz * np.pi / 2 * self.trotter_dt).expm()\n", + "\n", + "\n", + "noise_channel = MultiQubitErrorChannel(0, trotter_dt)\n", + "new_state = noise_channel.apply_error_channel(initial_state, 1.0, unitary=iswap.full())\n", + "new_state" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/quantum_logical/error_channel.py b/src/quantum_logical/error_channel.py index 7211a3f..eeb2342 100644 --- a/src/quantum_logical/error_channel.py +++ b/src/quantum_logical/error_channel.py @@ -7,13 +7,11 @@ from abc import ABC, abstractmethod import numpy as np -from qutip import Qobj -from quantum_logical._lib import ( - apply_error_channel_rust, - apply_error_channel_with_unitary, -) +from qutip import Qobj, qeye, tensor from scipy.linalg import fractional_matrix_power +from quantum_logical._lib import apply_operators_in_place as rust_apply + # import warnings @@ -28,6 +26,7 @@ def __init__(self, trotter_dt, dims): # convert E to complex numpy arrays self.E = [np.array(E, dtype=complex) for E in self.E] self._verify_completeness() + self.cached_fractional_unitaries = {} @abstractmethod def _init_kraus_operators(self): @@ -41,67 +40,62 @@ def _verify_completeness(self): completeness, np.eye(self.dims), atol=1e-6 ), "Kraus operators do not satisfy the completeness relation" - @classmethod - def from_combined_channels(cls, channels, trotter_dt, dims): - """Create a new ErrorChannel from a combination of other channels.""" - combined_kraus_operators = sum([channel.E for channel in channels], []) - normalization_factor = 1 / np.sqrt(len(combined_kraus_operators)) - normalized_operators = [ - op * normalization_factor for op in combined_kraus_operators - ] - - new_channel = cls(trotter_dt, dims) - new_channel.E = normalized_operators - return new_channel - - def _apply(self, state_numpy, num_steps, frac_unitary=None): - """Apply the error channel to a given quantum state using numpy.""" + # @classmethod + # def from_combined_channels(cls, channels, trotter_dt, dims): + # """Create a new ErrorChannel from a combination of other channels.""" + # combined_kraus_operators = sum([channel.E for channel in channels], []) + # normalization_factor = 1 / np.sqrt(len(combined_kraus_operators)) + # normalized_operators = [ + # op * normalization_factor for op in combined_kraus_operators + # ] + + # new_channel = cls(trotter_dt, dims) + # new_channel.E = normalized_operators + # return new_channel + + def _get_fractional_unitary(self, unitary, num_steps): + """Compute and cache the fractional unitary.""" + if unitary is not None and num_steps > 0: + key = (unitary.tobytes(), num_steps) # Unique key for caching + if key not in self.cached_fractional_unitaries: + fractional_unitary = fractional_matrix_power(unitary, 1 / num_steps) + self.cached_fractional_unitaries[key] = fractional_unitary + return self.cached_fractional_unitaries[key] + return None + + def _apply(self, state_numpy, num_steps, operators): + """Apply a sequence of operators to a given quantum state using + numpy.""" for _ in range(num_steps): - state_numpy = sum([E @ state_numpy @ E.T.conj() for E in self.E]) - if frac_unitary is not None: - state_numpy = frac_unitary @ state_numpy @ frac_unitary.T.conj() + new_state = np.zeros_like(state_numpy) + for op in operators: + new_state += op @ state_numpy @ op.T.conj() + state_numpy = new_state return state_numpy - def apply_error_channel(self, state, duration, unitary=None, use_rust=False): + def apply_error_channel(self, state, duration, unitary=None, use_rust=True): """Apply the channel to a state over a specified duration.""" - # check if divides duration into integer number of steps - # otherwise, will not apply channel for proper duration - # if not np.isclose(duration % self.trotter_dt, 0): - # error = duration % self.trotter_dt - # tolerance = 1e-6 - # if error > tolerance: - # warnings.warn( - # f"Duration is not a multiple of trotter_dt. Error: {error}.", - # UserWarning, - # ) - num_steps = int(duration / self.trotter_dt) state_numpy = state.full() # Convert Qobj to numpy array for calculation - # assert all kraus operators are numpy arrays - assert all([isinstance(E, np.ndarray) for E in self.E]) if num_steps == 0: - if unitary is not None: - return Qobj(unitary @ state_numpy @ unitary.T.conj(), dims=state.dims) - else: - return state - - if unitary is not None: - # fractional_unitary = unitary ** (1 / num_steps) - fractional_unitary = fractional_matrix_power(unitary, 1 / num_steps) - else: - fractional_unitary = None + return ( + state + if unitary is None + else Qobj(unitary @ state_numpy @ unitary.T.conj(), dims=state.dims) + ) + + operators = self.E.copy() + fractional_unitary = self._get_fractional_unitary(unitary, num_steps) + if fractional_unitary is not None: + operators.insert(0, fractional_unitary) if use_rust: - # state_numpy = apply_error_channel_rust(state_numpy, num_steps, self.E) - state_numpy = apply_error_channel_with_unitary( - state_numpy, num_steps, self.E, fractional_unitary - ) + # Update this call to match the new Rust function signature + state_numpy = rust_apply(state_numpy, num_steps, operators) else: - state_numpy = self._apply(state_numpy, num_steps, fractional_unitary) + state_numpy = self._apply(state_numpy, num_steps, operators) - # Convert the final numpy array back to Qobj - # preserve the dimensions of the original state return Qobj(state_numpy, dims=state.dims) @@ -166,6 +160,95 @@ def _init_kraus_operators(self): return [A_0, A_01, A_12, A_02] +class MultiQubitErrorChannel(ErrorChannel): + """A class for error channels that can be applied to multi-qubit + systems.""" + + def __init__(self, N, T1s, T2s, trotter_dt): + """Initializes with given arrays of T1 and T2 times for each qubit, and + a trotter step size.""" + self.N = N + assert len(T1s) == len( + T2s + ), "Arrays of T1 and T2 times must have the same length" + self.num_qubits = len(T1s) + self.T1s = T1s + self.T2s = T2s + dims = 2**self.num_qubits + self.trotter_dt = trotter_dt + super().__init__(trotter_dt, dims) + + def _init_kraus_operators(self): + """Creates the multi-qubit Kraus operators for the error channels.""" + # Create single-qubit Kraus operators for amplitude and phase damping for each qubit + kraus_ops = [] + + for T1, T2 in zip(self.T1s, self.T2s): + # Combine amplitude and phase damping operators for each qubit + amps = AmplitudeDamping(T1, self.trotter_dt).E + phases = PhaseDamping(T2, self.trotter_dt).E + combined_ops = amps + phases + + # Normalize the combined operators for each qubit + normalization_factor = np.sqrt(2 * self.N) # ? + normalized_ops = [Qobj(op) / normalization_factor for op in combined_ops] + + kraus_ops.append(normalized_ops) + + # Tensor the single-qubit Kraus operators together with identity operators for the other qubits + multi_qubit_kraus_ops = [] + + for i in range(self.num_qubits): + for op in kraus_ops[i]: + kraus_op_multi = [ + op if k == i else qeye(2) for k in range(self.num_qubits) + ] + multi_qubit_kraus_ops.append(tensor(*kraus_op_multi)) + + return multi_qubit_kraus_ops + + +class MultiQutritErrorChannel(ErrorChannel): + N = 2 + + def __init__(self, tau, k1, k2, trotter_dt, num_qutrits): + self.num_qutrits = num_qutrits + self.tau = tau + self.k1 = k1 + self.k2 = k2 + self.trotter_dt = trotter_dt + dims = 3**num_qutrits + super().__init__(trotter_dt, dims) + + def _init_kraus_operators(self): + kraus_ops = [] + for _ in range(self.num_qutrits): + # Initialize the single-qutrit amplitude damping channel + single_qutrit_channel = QutritAmplitudeDamping( + self.tau, self.k1, self.k2, self.trotter_dt + ) + kraus_ops_single = single_qutrit_channel.E + + # Normalize if needed + normalization_factor = np.sqrt(1 * self.N) + normalized_ops = [ + Qobj(op) / normalization_factor for op in kraus_ops_single + ] + + kraus_ops.append(normalized_ops) + + # tensor wiith identity operators to create the multi-qutrit kraus operators + multi_qutrit_kraus_ops = [] + for i in range(self.num_qutrits): + for op in kraus_ops[i]: + kraus_op_multi = [ + op if k == i else qeye(3) for k in range(self.num_qutrits) + ] + multi_qutrit_kraus_ops.append(tensor(*kraus_op_multi)) + + return multi_qutrit_kraus_ops + + # # TODO? # class QutritPhaseDamping(ErrorChannel): # def __init__(self, lambdas, trotter_dt): diff --git a/src/quantum_logical/operators.py b/src/quantum_logical/operators.py index 3b4d0b2..4e2c9bb 100644 --- a/src/quantum_logical/operators.py +++ b/src/quantum_logical/operators.py @@ -25,6 +25,18 @@ def _qutrit_to_3coords(qutrit_unitary): u_ef = reduce_to_two_qubit_subspace(qutrit_unitary, [1, 2]) u_gf = reduce_to_two_qubit_subspace(qutrit_unitary, [0, 2]) + # NOTE, c1c2c3() can still calculate coordinates for non-unitary matrices + # but unclear to me how meaningful the result will be. I would expected matrices + # that are nearly unitary but, for example, are not normalized to be + # trace-preserving to have coordinates as if it was properly normalized. + + if not u_ge.isunitary: + raise Warning("u_ge is not unitary") + if not u_ef.isunitary: + raise Warning("u_ef is not unitary") + if not u_gf.isunitary: + raise Warning("u_gf is not unitary") + return c1c2c3(u_ge), c1c2c3(u_ef), c1c2c3(u_gf)