From d01d16e54fdb36d885338b063a1167fd54cf2adb Mon Sep 17 00:00:00 2001 From: Evan McKinney <47376937+evmckinney9@users.noreply.github.com> Date: Thu, 15 Feb 2024 11:14:34 -0500 Subject: [PATCH] Custom pulse-level simulator (#23) * wip: initial commit of pulsesim code * refactor: quantum mode as abstract class * fix: hamiltonian class uses mode instances for non-perturbed terms * wip: qubit-qubit-cavity hamiltonian experiment * feat: working qubit-qubit-cavity iswap simulation * feat: quantum mode collapse operators and expected state fidelity calculations to mesolve * fix: cavity mediated iswap experiment with exagerrated loss channels * wip: biased qubit-cavity couplings * fix: cavity dimension change back to N=10 * feat: add iswap fidelity measure over distribution of initial states * chore: add tqdm to toml * feat: new scqubits dir * style: formatting docstrings --- .pre-commit-config.yaml | 6 +- Makefile | 1 + pyproject.toml | 2 + .../noisy_simulation/05_bloch_channels.ipynb | 203 ++++++ src/notebooks/pulse_sim/01_snail_qubit.ipynb | 254 ++++++++ src/notebooks/pulse_sim/02_qubit_cavity.ipynb | 462 ++++++++++++++ .../pulse_sim/03_cavity_biased_qubits.ipynb | 578 ++++++++++++++++++ src/notebooks/qutrit_gates/05_vswap.ipynb | 134 ++++ src/notebooks/scqubits/01_main.ipynb | 358 +++++++++++ .../scqubits/02_incoherent_error.ipynb | 98 +++ src/quantum_logical/channel.py | 1 + src/quantum_logical/composite.py | 1 + src/quantum_logical/encoded_layout.py | 1 + src/quantum_logical/interaction.py | 1 + src/quantum_logical/operators.py | 8 +- src/quantum_logical/pulsesim/README.md | 4 + src/quantum_logical/pulsesim/__init__.py | 23 + src/quantum_logical/pulsesim/hamiltonian.py | 197 ++++++ src/quantum_logical/pulsesim/mode.py | 187 ++++++ src/quantum_logical/pulsesim/pulse.py | 77 +++ src/quantum_logical/pulsesim/system.py | 136 +++++ .../pulsesim/system_params/system_params.yaml | 46 ++ src/quantum_logical/qudit_op.py | 1 + src/quantum_logical/trotter.py | 1 + 24 files changed, 2774 insertions(+), 6 deletions(-) create mode 100644 src/notebooks/noisy_simulation/05_bloch_channels.ipynb create mode 100644 src/notebooks/pulse_sim/01_snail_qubit.ipynb create mode 100644 src/notebooks/pulse_sim/02_qubit_cavity.ipynb create mode 100644 src/notebooks/pulse_sim/03_cavity_biased_qubits.ipynb create mode 100644 src/notebooks/qutrit_gates/05_vswap.ipynb create mode 100644 src/notebooks/scqubits/01_main.ipynb create mode 100644 src/notebooks/scqubits/02_incoherent_error.ipynb create mode 100644 src/quantum_logical/pulsesim/README.md create mode 100644 src/quantum_logical/pulsesim/__init__.py create mode 100644 src/quantum_logical/pulsesim/hamiltonian.py create mode 100644 src/quantum_logical/pulsesim/mode.py create mode 100644 src/quantum_logical/pulsesim/pulse.py create mode 100644 src/quantum_logical/pulsesim/system.py create mode 100644 src/quantum_logical/pulsesim/system_params/system_params.yaml diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 5803562..a8dfbae 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -8,12 +8,12 @@ repos: - id: enforce-notebook-naming - repo: https://github.com/qoomon/git-conventional-commits - rev: v2.6.5 + rev: v2.6.7 hooks: - id: conventional-commits - repo: https://github.com/charliermarsh/ruff-pre-commit - rev: "v0.1.8" + rev: "v0.1.15" 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: 23.12.0 + rev: 24.1.1 hooks: - id: black-jupyter language_version: python3.9 diff --git a/Makefile b/Makefile index 153b94f..b6b7e80 100644 --- a/Makefile +++ b/Makefile @@ -7,6 +7,7 @@ init: rm -rf .venv $(PYTHON_VERSION) -m venv .venv @$(PIP) install --upgrade pip + $(PIP) install -e .[dev] @$(PRE_COMMIT) install @$(PRE_COMMIT) autoupdate diff --git a/pyproject.toml b/pyproject.toml index 9261ba8..53fbcf4 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -9,9 +9,11 @@ version = "0.1.0" authors = [{ name = "Evan McKinney" }] requires-python = ">=3.9" dependencies = [ + "tqdm", "numpy", "qiskit", "qutip", + "scqubits", "weylchamber", "matplotlib", "LovelyPlots", diff --git a/src/notebooks/noisy_simulation/05_bloch_channels.ipynb b/src/notebooks/noisy_simulation/05_bloch_channels.ipynb new file mode 100644 index 0000000..33346e9 --- /dev/null +++ b/src/notebooks/noisy_simulation/05_bloch_channels.ipynb @@ -0,0 +1,203 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "# !pip install pyvista" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_11670/2096771307.py:18: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " z = float(2 * rho[0, 0] - 1)\n", + "/tmp/ipykernel_11670/2096771307.py:19: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " x = float(rho[0, 1] + rho[1, 0])\n", + "/tmp/ipykernel_11670/2096771307.py:20: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " y = float(1j * (rho[0, 1] - rho[1, 0]))\n" + ] + } + ], + "source": [ + "# reproduce the plot in Figure 8.8 using the definition of the quantum operations\n", + "# define the bit flip channel\n", + "import numpy as np\n", + "from qutip import *\n", + "import pyvista as pv\n", + "\n", + "# build a bloch sphere by generating random pure states\n", + "rho_list = []\n", + "\n", + "N = 10000\n", + "for _ in range(N):\n", + " random_state = rand_ket(2)\n", + " rho = random_state * random_state.dag()\n", + " rho_list.append(rho)\n", + "\n", + "vector_list = []\n", + "for rho in rho_list:\n", + " z = float(2 * rho[0, 0] - 1)\n", + " x = float(rho[0, 1] + rho[1, 0])\n", + " y = float(1j * (rho[0, 1] - rho[1, 0]))\n", + " vector_list.append([x, y, z])\n", + "\n", + "vector_list = np.array(vector_list)\n", + "# cloud = pv.PolyData(vector_list)\n", + "# volume = cloud.delaunay_3d(alpha=2.0)\n", + "# shell = volume.extract_geometry()\n", + "\n", + "# p = pv.Plotter()\n", + "# p.add_mesh(shell, color=\"white\", opacity=0.5)\n", + "# p.add_mesh(cloud, color=\"black\", point_size=5)\n", + "# p.show_bounds(grid=\"back\", location=\"outer\", all_edges=False)\n", + "# p.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vector_list\n", + "\n", + "# 3d plot of the bloch sphere\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "fig = plt.figure(figsize=(10, 10))\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "ax.scatter(vector_list[:, 0], vector_list[:, 1], vector_list[:, 2])\n", + "ax.set_xlabel(\"X\")\n", + "ax.set_ylabel(\"Y\")\n", + "ax.set_zlabel(\"Z\")\n", + "ax.set_xlim3d(-1, 1)\n", + "ax.set_ylim3d(-1, 1)\n", + "ax.set_zlim3d(-1, 1)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_11670/1438032185.py:10: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " z = float(2 * rho[0, 0] - 1)\n", + "/tmp/ipykernel_11670/1438032185.py:11: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " x = float(rho[0, 1] + rho[1, 0])\n", + "/tmp/ipykernel_11670/1438032185.py:12: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " y = float(1j * (rho[0, 1] - rho[1, 0]))\n" + ] + } + ], + "source": [ + "# E0 = lambda p: np.sqrt(p) * qeye(2)\n", + "# E1 = lambda p: np.sqrt(1 - p) * sigmax()\n", + "p = 0.8\n", + "E0 = lambda p: Qobj([[1, 0], [0, np.sqrt(1 - p)]])\n", + "E1 = lambda p: Qobj([[0, 0], [0, np.sqrt(p)]])\n", + "\n", + "deformed_vector_list = []\n", + "for rho in rho_list:\n", + " rho = E0(p) * rho * E0(p).dag() + E1(p) * rho * E1(p).dag()\n", + " z = float(2 * rho[0, 0] - 1)\n", + " x = float(rho[0, 1] + rho[1, 0])\n", + " y = float(1j * (rho[0, 1] - rho[1, 0]))\n", + " deformed_vector_list.append([x, y, z])\n", + "\n", + "\n", + "vector_list = np.array(deformed_vector_list)\n", + "# cloud = pv.PolyData(vector_list)\n", + "# volume = cloud.delaunay_3d(alpha=2.0)\n", + "# shell = volume.extract_geometry()\n", + "\n", + "# p = pv.Plotter()\n", + "# p.add_mesh(shell, color=\"white\", opacity=0.5)\n", + "# p.add_mesh(cloud, color=\"black\", point_size=5)\n", + "# p.show_bounds(grid=\"back\", location=\"outer\", all_edges=False)\n", + "# p.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "vector_list\n", + "\n", + "# 3d plot of the bloch sphere\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "fig = plt.figure(figsize=(10, 10))\n", + "ax = fig.add_subplot(111, projection=\"3d\")\n", + "ax.scatter(vector_list[:, 0], vector_list[:, 1], vector_list[:, 2])\n", + "ax.set_xlabel(\"X\")\n", + "ax.set_ylabel(\"Y\")\n", + "ax.set_zlabel(\"Z\")\n", + "ax.set_xlim3d(-1, 1)\n", + "ax.set_ylim3d(-1, 1)\n", + "ax.set_zlim3d(-1, 1)\n", + "plt.show()" + ] + } + ], + "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": "3.9.17" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/notebooks/pulse_sim/01_snail_qubit.ipynb b/src/notebooks/pulse_sim/01_snail_qubit.ipynb new file mode 100644 index 0000000..d3e72b2 --- /dev/null +++ b/src/notebooks/pulse_sim/01_snail_qubit.ipynb @@ -0,0 +1,254 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# notebook to recreate Mingkang's simulation of qubit-SNAIL coupling gates\n", + "# using my refactored version of his code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from qutip import Options\n", + "import qutip as qt\n", + "from pathlib import Path\n", + "import matplotlib.pyplot as plt\n", + "from quantum_logical.pulsesim import QuantumSystem, Pulse\n", + "from quantum_logical.pulsesim.hamiltonian import QubitQubitSNAIL\n", + "\n", + "opts = Options(nsteps=1e6, atol=1e-8, rtol=1e-6)\n", + "p_bar = qt.ui.TextProgressBar() # None" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Better, load from YAML file\n", + "# Ensure the correct path relative to the project root\n", + "project_root = Path(\"/home/evm9/quantum_logical\") # Adjust as necessary\n", + "yaml_file = (\n", + " project_root / \"src/quantum_logical/pulsesim/system_params/system_params.yaml\"\n", + ")\n", + "quantum_system = QuantumSystem.from_yaml(yaml_file)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "system_hamiltonian = QubitQubitSNAIL(quantum_system, use_TLS=True, use_RWA=False)\n", + "q1_mode = system_hamiltonian.q1_mode\n", + "q2_mode = system_hamiltonian.q2_mode\n", + "\n", + "# prepare an initial state\n", + "psi0 = quantum_system.prepare_tensor_fock_state([(q2_mode, 1)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "system_hamiltonian.H" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Define experiment constants\n", + "# define frequency and amplitude ranges\n", + "# drive at qubit-qubit conversion with some detuning\n", + "width_d = 500\n", + "N = 30\n", + "\n", + "detuning_flist = 1000 * np.linspace(-0.01, 0.01, N) # MHz\n", + "flist = 2 * np.pi / 1000 * (detuning_flist) + abs(q1_mode.freq - q2_mode.freq)\n", + "alist = np.linspace(0, 30, N)\n", + "args = {\"shape\": Pulse.smoothbox, \"shape_params\": {\"t0\": 0, \"width\": width_d}}\n", + "t_list = np.linspace(0, width_d, 500)\n", + "\n", + "# plot an example pulse from the experiment to verify its shape\n", + "omega_p = flist[int(N / 2)]\n", + "amp_p = alist[int(N / 2)]\n", + "pulse = Pulse(omega=omega_p, amp=amp_p)\n", + "\n", + "# Plot the Gaussian pulse shape\n", + "Pulse.plot_pulse([(pulse, args)], t_list)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# collapse operators\n", + "c_ops = []\n", + "for mode in quantum_system.modes:\n", + " c_ops.append(mode.collapse_operators(quantum_system))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def simulation_task(freq_amp_tuple):\n", + " freq, amp = freq_amp_tuple\n", + " pulse = Pulse(omega=freq, amp=amp)\n", + " H = system_hamiltonian.driven(pulse)\n", + " solve_result = qt.mesolve(H, psi0, t_list, c_ops, args=args, options=opts)\n", + " final_state = solve_result.states[-1]\n", + " ground_state_populations = [\n", + " quantum_system.mode_population_expectation(final_state, mode, 0)\n", + " for mode in quantum_system.modes\n", + " ]\n", + " return ground_state_populations\n", + "\n", + "\n", + "# Prepare the parameters for parallel execution\n", + "freq_amp_pairs = [(f, a) for f in flist for a in alist]\n", + "\n", + "# Run the simulations in parallel\n", + "results = qt.parallel.parallel_map(simulation_task, freq_amp_pairs, progress_bar=True)\n", + "\n", + "# Process results\n", + "ground_state_populations = np.zeros((len(quantum_system.modes), len(alist), len(flist)))\n", + "for idx, (freq, amp) in enumerate(freq_amp_pairs):\n", + " freq_idx = np.where(flist == freq)[0][0]\n", + " amp_idx = np.where(alist == amp)[0][0]\n", + "\n", + " populations = results[idx]\n", + " for k, pop in enumerate(populations):\n", + " ground_state_populations[k, amp_idx, freq_idx] = pop" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Prepare the plot\n", + "fig, axes = plt.subplots(\n", + " 1, len(quantum_system.modes), figsize=(len(quantum_system.modes) * 4, 4)\n", + ")\n", + "\n", + "# Conversion factor from radian frequency to GHz\n", + "rad_to_GHz = 1 / (2 * np.pi)\n", + "\n", + "# Define the number of ticks for the detuning x-axis\n", + "n_xticks = 5 # Adjust the number of ticks as needed\n", + "\n", + "# Plot data for each mode\n", + "for k, mode in enumerate(quantum_system.modes):\n", + " im = axes[k].imshow(\n", + " ground_state_populations[k],\n", + " # extent=[flist[0] * rad_to_GHz, flist[-1] * rad_to_GHz, alist[0], alist[-1]],\n", + " extent=[detuning_flist[0], detuning_flist[-1], alist[0], alist[-1]],\n", + " aspect=\"auto\",\n", + " origin=\"lower\",\n", + " vmin=0.0,\n", + " vmax=1.0, # Set color bar scale from 0.0 to 1.0\n", + " )\n", + " axes[k].set_title(f\"Mode: {mode.name}\")\n", + " # axes[k].set_xlabel(\"Frequency (GHz)\")\n", + " axes[k].set_xlabel(\"Detuning (MHz)\")\n", + " axes[k].set_ylabel(\"Amplitude (a.u.)\")\n", + "\n", + " # Customize x-axis ticks\n", + " # xticks = np.linspace(flist[0] * rad_to_GHz, flist[-1] * rad_to_GHz, n_xticks)\n", + " xticks = np.linspace(detuning_flist[0], detuning_flist[-1], n_xticks)\n", + " axes[k].set_xticks(xticks)\n", + " axes[k].set_xticklabels([f\"{x:.2f}\" for x in xticks]) # Format the tick labels\n", + "\n", + " # Add color bar\n", + " cbar = fig.colorbar(\n", + " im, ax=axes[k], orientation=\"vertical\", label=\"Ground State Population\"\n", + " )\n", + " cbar.set_ticks(np.linspace(0, 1, 5)) # Customize color bar ticks\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# find the frequency and amplitude that maximized population in q1_mode\n", + "# this will be our calibrated iSWAP frequency and amplitude\n", + "max_pop = np.max(ground_state_populations[0])\n", + "max_pop_idx = np.where(ground_state_populations[0] == max_pop)\n", + "max_pop_freq = flist[max_pop_idx[1][0]]\n", + "max_pop_amp = alist[max_pop_idx[0][0]]\n", + "print(f\"Max population: {max_pop:.2f}\")\n", + "print(f\"Max population frequency: {max_pop_freq:.2f}\")\n", + "print(f\"Max population amplitude: {max_pop_amp:.2f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pulse = Pulse(omega=max_pop_freq, amp=max_pop_amp)\n", + "H = system_hamiltonian.driven(pulse)\n", + "\n", + "e_ops = [quantum_system.modes_num[m] for m in quantum_system.modes]\n", + "solve_result = qt.mesolve(H, psi0, t_list, args=args, options=opts, e_ops=e_ops)\n", + "\n", + "# Plot the state evolution ( vs time) for each mode (one plot total)\n", + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "for k, mode in enumerate(quantum_system.modes):\n", + " ax.plot(t_list, solve_result.expect[k], label=mode.name)\n", + "ax.set_xlabel(\"Time (dt)\")\n", + "ax.set_ylabel(\"Mode Occupation\")\n", + "ax.legend()\n", + "plt.show()" + ] + } + ], + "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": "3.9.17" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/notebooks/pulse_sim/02_qubit_cavity.ipynb b/src/notebooks/pulse_sim/02_qubit_cavity.ipynb new file mode 100644 index 0000000..cb7a7c9 --- /dev/null +++ b/src/notebooks/pulse_sim/02_qubit_cavity.ipynb @@ -0,0 +1,462 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from qutip import Options\n", + "import qutip as qt\n", + "from quantum_logical.pulsesim import QuantumSystem, Pulse\n", + "from quantum_logical.pulsesim.hamiltonian import QubitQubitCavity\n", + "from quantum_logical.pulsesim.mode import QubitMode, CavityMode\n", + "import matplotlib.pyplot as plt\n", + "\n", + "opts = Options(nsteps=1e6, atol=1e-8, rtol=1e-6)\n", + "p_bar = qt.ui.TextProgressBar() # None" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Optionally, can build from a YAML file instead :)\n", + "# quantum_system = QuantumSystem.from_yaml(yaml_file)\n", + "\n", + "# TODO\n", + "# FIXME, these kwargs attributes are ugly/bad :(\n", + "qubit1 = QubitMode(\n", + " mode_type=\"Qubit\", name=\"q1\", dim=2, freq=3.0, alpha=-0.1, T1=1e3, T2=5e3\n", + ")\n", + "qubit2 = QubitMode(\n", + " mode_type=\"Qubit\", name=\"q2\", dim=2, freq=3.0, alpha=-0.1, T1=1e3, T2=5e3\n", + ")\n", + "cavity = CavityMode(mode_type=\"Cavity\", name=\"c\", dim=10, freq=5.0, T1=1e3, T2=1.5e3)\n", + "_couplings = {(qubit1, cavity): 2 * np.pi * 0.01, (qubit2, cavity): 2 * np.pi * 0.01}\n", + "\n", + "quantum_system = QuantumSystem([qubit1, qubit2, cavity], couplings=_couplings)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Quantum object: dims = [[2, 2, 10], [2, 2, 10]], shape = (40, 40), type = oper, isherm = True $ \\\\ \\left(\\begin{matrix}-18.850 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 12.566 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 43.982 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 75.398 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 106.814 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 175.929 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 207.345 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 238.761 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 270.177 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 301.593\\\\\\end{matrix}\\right)$" + ], + "text/plain": [ + "Quantum object: dims = [[2, 2, 10], [2, 2, 10]], shape = (40, 40), type = oper, isherm = True\n", + "Qobj data =\n", + "[[-18.84955592 0. 0. ... 0. 0.\n", + " 0. ]\n", + " [ 0. 12.56637061 0. ... 0. 0.\n", + " 0. ]\n", + " [ 0. 0. 43.98229715 ... 0. 0.\n", + " 0. ]\n", + " ...\n", + " [ 0. 0. 0. ... 238.76104167 0.\n", + " 0. ]\n", + " [ 0. 0. 0. ... 0. 270.17696821\n", + " 0. ]\n", + " [ 0. 0. 0. ... 0. 0.\n", + " 301.59289474]]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "hamiltonian = QubitQubitCavity(quantum_system)\n", + "# hamiltonian.H + sum(hamiltonian._H_int()) # full hamiltonian\n", + "hamiltonian.H # non-interacting hamiltonian" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# prepare an initial state\n", + "psi0 = quantum_system.prepare_tensor_fock_state([(qubit2, 1)])\n", + "\n", + "# prepare qubit bell state tensored with cavity in vacuum state\n", + "# psi0 = qt.tensor(qt.bell_state(\"01\"), qt.basis(cavity.dim, 0))\n", + "\n", + "# prepare an inital state |01> for qubits and a slight excitation in the cavity\n", + "# |cavity> = .99 |0> + .1 |1>\n", + "# psi0 = qt.tensor(\n", + "# qt.basis(qubit1.dim, 0),\n", + "# qt.basis(qubit2.dim, 1),\n", + "# 0.99 * qt.basis(cavity.dim, 0) + 0.1 * qt.basis(cavity.dim, 1),\n", + "# )" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# define desired unitary and expected final state\n", + "U = qt.tensor(qt.qip.operations.iswap(N=2), qt.identity(cavity.dim))\n", + "expected_psi = U * psi0" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# collapse operators\n", + "c_ops = []\n", + "for mode in quantum_system.modes:\n", + " c_ops.append(mode.collapse_operators(quantum_system))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "width_d1 = 5 * np.pi / (4 * quantum_system.couplings[(qubit1, cavity)])\n", + "# width_d2 = 2 * np.pi / (4 * quantum_system.couplings[(qubit2, cavity)])\n", + "\n", + "args1 = {\"shape\": Pulse.box, \"shape_params\": {\"t0\": 0, \"width\": width_d1}}\n", + "pulse1 = Pulse(omega=0.0, amp=np.abs(qubit1.freq - cavity.freq))\n", + "lambda_pulse1 = lambda t, args: pulse1.drive(t, args1) # noqa: E731\n", + "\n", + "args2 = {\"shape\": Pulse.box, \"shape_params\": {\"t0\": 0, \"width\": width_d1}}\n", + "pulse2 = Pulse(omega=0.0, amp=np.abs(qubit2.freq - cavity.freq))\n", + "lambda_pulse2 = lambda t, args: pulse2.drive(t, args2) # noqa: E731\n", + "\n", + "# plot an example pulse from the experiment to verify its shape\n", + "t_list = np.linspace(0, 100, 500)\n", + "Pulse.plot_pulse([(pulse1, args1), (pulse2, args2)], t_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.0%. Run time: 11.02s. Est. time left: 00:00:01:39\n", + "20.0%. Run time: 21.94s. Est. time left: 00:00:01:27\n", + "30.0%. Run time: 35.69s. Est. time left: 00:00:01:23\n", + "40.0%. Run time: 47.01s. Est. time left: 00:00:01:10\n", + "50.0%. Run time: 55.27s. Est. time left: 00:00:00:55\n", + "60.0%. Run time: 63.55s. Est. time left: 00:00:00:42\n", + "70.0%. Run time: 70.98s. Est. time left: 00:00:00:30\n", + "80.0%. Run time: 78.75s. Est. time left: 00:00:00:19\n", + "90.0%. Run time: 87.49s. Est. time left: 00:00:00:09\n", + "100.0%. Run time: 95.44s. Est. time left: 00:00:00:00\n", + "Total run time: 95.46s\n" + ] + } + ], + "source": [ + "# Define experiment constants\n", + "N = 50 # Number of points in the parameter sweep\n", + "width_range = np.linspace(0, t_list[-1], N) # Sweep pulse width\n", + "amp_range = np.linspace(0, 30, N) # Sweep pulse amplitude\n", + "\n", + "\n", + "def simulation_task(width_amp_tuple):\n", + " width, amp = width_amp_tuple\n", + " # XXX For now, assuming same pulse for both qubits\n", + " args1[\"shape_params\"][\"width\"] = width\n", + " pulse1.amp = amp\n", + " lambda_pulse1 = lambda t, args: pulse1.drive(t, args1) # noqa: E731\n", + "\n", + " H = hamiltonian.driven(lambda_pulse1, lambda_pulse1)\n", + " solve_result = qt.mesolve(H, psi0, t_list, options=opts, c_ops=c_ops)\n", + "\n", + " final_state = solve_result.states[-1]\n", + " ground_state_populations = [\n", + " quantum_system.mode_population_expectation(final_state, mode, 0)\n", + " for mode in quantum_system.modes\n", + " ]\n", + "\n", + " # Calculate fidelity with the expected final state\n", + " fidelity = qt.fidelity(expected_psi, final_state)\n", + "\n", + " return ground_state_populations, fidelity\n", + "\n", + "\n", + "# Prepare the parameters for parallel execution\n", + "width_amp_pairs = [(w, a) for w in width_range for a in amp_range]\n", + "\n", + "# Run the simulations in parallel\n", + "results = qt.parallel.parallel_map(simulation_task, width_amp_pairs, progress_bar=True)\n", + "\n", + "# Process results\n", + "ground_state_populations = np.zeros(\n", + " (len(quantum_system.modes), len(amp_range), len(width_range))\n", + ")\n", + "fidelity_matrix = np.zeros((len(amp_range), len(width_range)))\n", + "\n", + "for idx, (width, amp) in enumerate(width_amp_pairs):\n", + " width_idx = np.where(width_range == width)[0][0]\n", + " amp_idx = np.where(amp_range == amp)[0][0]\n", + " populations, fidelity = results[idx]\n", + "\n", + " # Store ground state populations\n", + " for k, pop in enumerate(populations):\n", + " ground_state_populations[k, amp_idx, width_idx] = pop\n", + "\n", + " # Store fidelity\n", + " fidelity_matrix[amp_idx, width_idx] = fidelity" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Prepare the plot\n", + "fig, axes = plt.subplots(\n", + " 1, len(quantum_system.modes), figsize=(len(quantum_system.modes) * 4, 4)\n", + ")\n", + "\n", + "# Define the number of ticks for the detuning x-axis\n", + "n_xticks = 5 # Adjust the number of ticks as needed\n", + "\n", + "# Plot data for each mode\n", + "for k, mode in enumerate(quantum_system.modes):\n", + " im = axes[k].imshow(\n", + " ground_state_populations[k],\n", + " extent=[width_range[0], width_range[-1], amp_range[0], amp_range[-1]],\n", + " aspect=\"auto\",\n", + " origin=\"lower\",\n", + " vmin=0.0,\n", + " vmax=1.0, # Set color bar scale from 0.0 to 1.0\n", + " )\n", + " axes[k].set_title(f\"Mode: {mode.name}\")\n", + " axes[k].set_xlabel(\"Pulse Width (ns)\")\n", + " axes[k].set_ylabel(\"Amplitude (a.u.)\")\n", + "\n", + " # Customize x-axis ticks\n", + " # xticks = np.linspace(flist[0] * rad_to_GHz, flist[-1] * rad_to_GHz, n_xticks)\n", + " xticks = np.linspace(width_range[0], width_range[-1], n_xticks)\n", + " axes[k].set_xticks(xticks)\n", + " axes[k].set_xticklabels([f\"{x:.2f}\" for x in xticks]) # Format the tick labels\n", + "\n", + " # Add color bar\n", + " cbar = fig.colorbar(\n", + " im, ax=axes[k], orientation=\"vertical\", label=\"Ground State Population\"\n", + " )\n", + " cbar.set_ticks(np.linspace(0, 1, 5)) # Customize color bar ticks\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Prepare the plot for fidelity\n", + "fig, ax = plt.subplots(figsize=(4, 3))\n", + "\n", + "# Plot the fidelity matrix\n", + "im = ax.imshow(\n", + " fidelity_matrix,\n", + " extent=[width_range[0], width_range[-1], amp_range[0], amp_range[-1]],\n", + " aspect=\"auto\",\n", + " origin=\"lower\",\n", + " vmin=0.0,\n", + " vmax=1.0, # Fidelity ranges from 0 to 1\n", + ")\n", + "\n", + "ax.set_title(\"iSWAP Gate Fidelity\")\n", + "ax.set_xlabel(\"Pulse Width (ns)\")\n", + "ax.set_ylabel(\"Amplitude (a.u.)\")\n", + "ax.set_xticks(np.linspace(width_range[0], width_range[-1], n_xticks))\n", + "ax.set_xticklabels(\n", + " [f\"{x:.2f}\" for x in np.linspace(width_range[0], width_range[-1], n_xticks)]\n", + ")\n", + "\n", + "# Add color bar for fidelity\n", + "cbar = fig.colorbar(im, ax=ax, orientation=\"vertical\", label=\"Fidelity\")\n", + "cbar.set_ticks(np.linspace(0, 1, 5))\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max fidelity: 0.9512\n", + "Pulse width for max fidelity: 71.43 ns\n", + "Pulse amplitude for max fidelity: 7.35 a.u.\n" + ] + } + ], + "source": [ + "# Find the pulse parameters that maximize fidelity\n", + "max_fidelity = np.max(fidelity_matrix)\n", + "max_fidelity_indices = np.where(fidelity_matrix == max_fidelity)\n", + "\n", + "# Since the indices are returned in a tuple of arrays, we take the first element\n", + "max_fidelity_amp_idx, max_fidelity_width_idx = (\n", + " max_fidelity_indices[0][0],\n", + " max_fidelity_indices[1][0],\n", + ")\n", + "\n", + "# Retrieve the amplitude and width that correspond to the maximum fidelity\n", + "max_fidelity_width = width_range[max_fidelity_width_idx]\n", + "max_fidelity_amp = amp_range[max_fidelity_amp_idx]\n", + "\n", + "print(f\"Max fidelity: {max_fidelity:.4f}\")\n", + "print(f\"Pulse width for max fidelity: {max_fidelity_width:.2f} ns\")\n", + "print(f\"Pulse amplitude for max fidelity: {max_fidelity_amp:.2f} a.u.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.0%. Run time: 0.00s. Est. time left: 00:00:00:00\n", + "20.0%. Run time: 0.01s. Est. time left: 00:00:00:00\n", + "30.0%. Run time: 0.01s. Est. time left: 00:00:00:00\n", + "40.0%. Run time: 0.02s. Est. time left: 00:00:00:00\n", + "50.0%. Run time: 0.03s. Est. time left: 00:00:00:00\n", + "60.0%. Run time: 0.03s. Est. time left: 00:00:00:00\n", + "70.0%. Run time: 0.04s. Est. time left: 00:00:00:00\n", + "80.0%. Run time: 0.05s. Est. time left: 00:00:00:00\n", + "90.0%. Run time: 0.06s. Est. time left: 00:00:00:00\n", + "Total run time: 0.06s\n" + ] + } + ], + "source": [ + "# set the calibrated width and amplitude\n", + "args1[\"shape_params\"][\"width\"] = max_fidelity_width\n", + "pulse1.amp = max_fidelity_amp\n", + "lambda_pulse1 = lambda t, args: pulse1.drive(t, args1) # noqa: E731\n", + "H = hamiltonian.driven(lambda_pulse1, lambda_pulse1)\n", + "\n", + "e_ops = e_ops = [quantum_system.modes_num[m] for m in quantum_system.modes]\n", + "solve_result = qt.mesolve(\n", + " H,\n", + " psi0,\n", + " t_list,\n", + " e_ops=e_ops,\n", + " progress_bar=p_bar,\n", + " c_ops=c_ops,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the state evolution ( vs time) for each mode (one plot total)\n", + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "for k, mode in enumerate(quantum_system.modes):\n", + " ax.plot(t_list, solve_result.expect[k], label=mode.name)\n", + "ax.set_xlabel(\"Time (dt)\")\n", + "ax.set_ylabel(\"Mode Occupation\")\n", + "ax.legend()\n", + "plt.show()" + ] + } + ], + "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": "3.9.17" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/notebooks/pulse_sim/03_cavity_biased_qubits.ipynb b/src/notebooks/pulse_sim/03_cavity_biased_qubits.ipynb new file mode 100644 index 0000000..e01ff0b --- /dev/null +++ b/src/notebooks/pulse_sim/03_cavity_biased_qubits.ipynb @@ -0,0 +1,578 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from qutip import Options\n", + "import qutip as qt\n", + "from quantum_logical.pulsesim import QuantumSystem, Pulse\n", + "from quantum_logical.pulsesim.hamiltonian import QubitQubitCavity\n", + "from quantum_logical.pulsesim.mode import QubitMode, CavityMode\n", + "import matplotlib.pyplot as plt\n", + "from itertools import product\n", + "from tqdm.notebook import tqdm\n", + "\n", + "opts = Options(nsteps=1e6, atol=1e-8, rtol=1e-6)\n", + "p_bar = qt.ui.TextProgressBar() # None" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "# Optionally, can build from a YAML file instead :)\n", + "# quantum_system = QuantumSystem.from_yaml(yaml_file)\n", + "\n", + "# TODO\n", + "# FIXME, these kwargs attributes are ugly/bad :(\n", + "qubit1 = QubitMode(\n", + " mode_type=\"Qubit\", name=\"q1\", dim=2, freq=2.75, alpha=-0.1, T1=0.5e3, T2=5e3\n", + ")\n", + "qubit2 = QubitMode(\n", + " mode_type=\"Qubit\", name=\"q2\", dim=2, freq=3.25, alpha=-0.1, T1=1e3, T2=5e3\n", + ")\n", + "cavity = CavityMode(mode_type=\"Cavity\", name=\"c\", dim=10, freq=5.0, T1=1e3, T2=1.5e3)\n", + "_couplings = {\n", + " (qubit1, cavity): 2 * np.pi * 0.0125,\n", + " (qubit2, cavity): 2 * np.pi * 0.0875,\n", + "}\n", + "\n", + "quantum_system = QuantumSystem([qubit1, qubit2, cavity], couplings=_couplings)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Quantum object: dims = [[2, 2, 10], [2, 2, 10]], shape = (40, 40), type = oper, isherm = True $ \\\\ \\left(\\begin{matrix}-18.850 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 12.566 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 43.982 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 75.398 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 106.814 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 175.929 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 207.345 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 238.761 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 270.177 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 301.593\\\\\\end{matrix}\\right)$" + ], + "text/plain": [ + "Quantum object: dims = [[2, 2, 10], [2, 2, 10]], shape = (40, 40), type = oper, isherm = True\n", + "Qobj data =\n", + "[[-18.84955592 0. 0. ... 0. 0.\n", + " 0. ]\n", + " [ 0. 12.56637061 0. ... 0. 0.\n", + " 0. ]\n", + " [ 0. 0. 43.98229715 ... 0. 0.\n", + " 0. ]\n", + " ...\n", + " [ 0. 0. 0. ... 238.76104167 0.\n", + " 0. ]\n", + " [ 0. 0. 0. ... 0. 270.17696821\n", + " 0. ]\n", + " [ 0. 0. 0. ... 0. 0.\n", + " 301.59289474]]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "hamiltonian = QubitQubitCavity(quantum_system)\n", + "# hamiltonian.H + sum(hamiltonian._H_int()) # full hamiltonian\n", + "hamiltonian.H # non-interacting hamiltonian" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# prepare an initial state\n", + "psi0 = quantum_system.prepare_tensor_fock_state([(qubit2, 1)])\n", + "\n", + "# prepare qubit bell state tensored with cavity in vacuum state\n", + "# psi0 = qt.tensor(qt.bell_state(\"01\"), qt.basis(cavity.dim, 0))\n", + "\n", + "# prepare an inital state |01> for qubits and a slight excitation in the cavity\n", + "# |cavity> = .99 |0> + .1 |1>\n", + "# psi0 = qt.tensor(\n", + "# qt.basis(qubit1.dim, 0),\n", + "# qt.basis(qubit2.dim, 1),\n", + "# 0.99 * qt.basis(cavity.dim, 0) + 0.1 * qt.basis(cavity.dim, 1),\n", + "# )" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# define desired unitary and expected final state\n", + "U = qt.tensor(qt.qip.operations.iswap(N=2), qt.identity(cavity.dim))\n", + "expected_psi = U * psi0" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# collapse operators\n", + "c_ops = []\n", + "for mode in quantum_system.modes:\n", + " c_ops.append(mode.collapse_operators(quantum_system))\n", + "\n", + "# NOTE uncomment to turn off loss\n", + "# c_ops = None" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "total_pulse_duration = 20\n", + "t_list = np.linspace(0, total_pulse_duration, 500)\n", + "\n", + "# in this experiment, we have fixed with and sweep the two amplitudes\n", + "width_d = total_pulse_duration\n", + "\n", + "args1 = {\"shape\": Pulse.box, \"shape_params\": {\"t0\": 0, \"width\": width_d}}\n", + "pulse1 = Pulse(omega=0.0, amp=np.abs(qubit1.freq - cavity.freq))\n", + "lambda_pulse1 = lambda t, args: pulse1.drive(t, args1) # noqa: E731\n", + "\n", + "args2 = {\"shape\": Pulse.box, \"shape_params\": {\"t0\": 0, \"width\": width_d}}\n", + "pulse2 = Pulse(omega=0.0, amp=np.abs(qubit2.freq - cavity.freq))\n", + "lambda_pulse2 = lambda t, args: pulse2.drive(t, args2) # noqa: E731\n", + "\n", + "# plot an example pulse from the experiment to verify its shape\n", + "\n", + "Pulse.plot_pulse([(pulse1, args1), (pulse2, args2)], t_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.0%. Run time: 4.89s. Est. time left: 00:00:00:44\n", + "20.0%. Run time: 8.80s. Est. time left: 00:00:00:35\n", + "30.0%. Run time: 12.24s. Est. time left: 00:00:00:28\n", + "40.0%. Run time: 15.54s. Est. time left: 00:00:00:23\n", + "50.0%. Run time: 19.04s. Est. time left: 00:00:00:19\n", + "60.0%. Run time: 22.74s. Est. time left: 00:00:00:15\n", + "70.0%. Run time: 26.26s. Est. time left: 00:00:00:11\n", + "80.0%. Run time: 29.73s. Est. time left: 00:00:00:07\n", + "90.0%. Run time: 33.46s. Est. time left: 00:00:00:03\n", + "100.0%. Run time: 37.07s. Est. time left: 00:00:00:00\n", + "Total run time: 37.09s\n" + ] + } + ], + "source": [ + "# Define experiment constants\n", + "N = 30 # Number of points in the parameter sweep\n", + "\n", + "# Sweep pulse amplitudes for both qubits\n", + "max_amplitude = 10\n", + "amp1_range = np.linspace(0, max_amplitude, N)\n", + "amp2_range = np.linspace(0, max_amplitude, N)\n", + "\n", + "\n", + "def simulation_task(amp1_amp2_tuple):\n", + " amp1, amp2 = amp1_amp2_tuple\n", + " # XXX For now, assuming same pulse for both qubits\n", + " pulse1.amp = amp1\n", + " lambda_pulse1 = lambda t, args: pulse1.drive(t, args1) # noqa: E731\n", + "\n", + " pulse2.amp = amp2\n", + " lambda_pulse2 = lambda t, args: pulse2.drive(t, args2) # noqa: E731\n", + "\n", + " H = hamiltonian.driven(lambda_pulse1, lambda_pulse2)\n", + " solve_result = qt.mesolve(H, psi0, t_list, options=opts, c_ops=c_ops)\n", + "\n", + " final_state = solve_result.states[-1]\n", + " ground_state_populations = [\n", + " quantum_system.mode_population_expectation(final_state, mode, 0)\n", + " for mode in quantum_system.modes\n", + " ]\n", + "\n", + " # Calculate fidelity with the expected final state\n", + " fidelity = qt.fidelity(expected_psi, final_state)\n", + "\n", + " return ground_state_populations, fidelity\n", + "\n", + "\n", + "# Prepare the parameters for parallel execution\n", + "amp1_amp2_tuple = [(amp1, amp2) for amp1 in amp1_range for amp2 in amp2_range]\n", + "\n", + "# Run the simulations in parallel\n", + "results = qt.parallel.parallel_map(simulation_task, amp1_amp2_tuple, progress_bar=True)\n", + "\n", + "# Process results\n", + "ground_state_populations = np.zeros(\n", + " (len(quantum_system.modes), len(amp1_range), len(amp2_range))\n", + ")\n", + "fidelity_matrix = np.zeros((len(amp1_range), len(amp2_range)))\n", + "\n", + "for idx, (amp1, amp2) in enumerate(amp1_amp2_tuple):\n", + " amp2_idx = np.where(amp2_range == amp2)[0][0]\n", + " amp1_idx = np.where(amp1_range == amp1)[0][0]\n", + " populations, fidelity = results[idx]\n", + "\n", + " # Store ground state populations\n", + " for k, pop in enumerate(populations):\n", + " ground_state_populations[k, amp1_idx, amp2_idx] = pop\n", + "\n", + " # Store fidelity\n", + " fidelity_matrix[amp1_idx, amp2_idx] = fidelity" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Prepare the plot\n", + "fig, axes = plt.subplots(\n", + " 1, len(quantum_system.modes), figsize=(len(quantum_system.modes) * 4, 4)\n", + ")\n", + "\n", + "# Define the number of ticks for the detuning x-axis\n", + "n_xticks = 5 # Adjust the number of ticks as needed\n", + "\n", + "# Plot data for each mode\n", + "for k, mode in enumerate(quantum_system.modes):\n", + " im = axes[k].imshow(\n", + " ground_state_populations[k],\n", + " extent=[amp2_range[0], amp2_range[-1], amp1_range[0], amp1_range[-1]],\n", + " aspect=\"auto\",\n", + " origin=\"lower\",\n", + " vmin=0.0,\n", + " vmax=1.0, # Set color bar scale from 0.0 to 1.0\n", + " )\n", + " axes[k].set_title(f\"Mode: {mode.name}\")\n", + " axes[k].set_xlabel(\"Amplitude 2 (a.u.)\")\n", + " axes[k].set_ylabel(\"Amplitude 1 (a.u.)\")\n", + "\n", + " # Customize x-axis ticks\n", + " # xticks = np.linspace(flist[0] * rad_to_GHz, flist[-1] * rad_to_GHz, n_xticks)\n", + " xticks = np.linspace(amp2_range[0], amp2_range[-1], n_xticks)\n", + " axes[k].set_xticks(xticks)\n", + " axes[k].set_xticklabels([f\"{x:.2f}\" for x in xticks]) # Format the tick labels\n", + "\n", + " # Add color bar\n", + " cbar = fig.colorbar(\n", + " im, ax=axes[k], orientation=\"vertical\", label=\"Ground State Population\"\n", + " )\n", + " cbar.set_ticks(np.linspace(0, 1, 5)) # Customize color bar ticks\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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hdi8tLQ1VVVVITU2lYNBAeMc9U9LS0tC7d29oNBq0a9fO5NP1li9fjqCgIDg7OyMsLAwHDx6Uv/MWsDgglJWVoUePHli+fLnJ8vfffx8fffQRVq5ciQMHDqBp06aIioq6r55GRQghluAd9+6Wk5OD4cOHY/Dgwfjtt98wY8YMvPjii9i9e7e+zubNmxEXF4f4+HhkZmaiR48eiIqKkpR+xWasGaKEuzJo6nQ65uPjwz744AP9uqKiIqbRaNjGjRut2RQhhNwX7j7umTJr1izWtWtXg3Vjx45lUVFR+r/79u3LYmNj9X9rtVrm5+fHEhISZO2vJWS9qZyTk4Pc3FyDqfvu7u4ICwtDRkYGxo0bZ/SayspKgyRnOp0O169fR6tWrSQlPCOENH6MMdy8eRN+fn5Qqeo3+LGiokLyMz8YY0bHF41GY5BSxRoZGRlGKUyioqIwY8YMALVZCo4cOYI5c+boy1UqFSIjI5GRkSFLH+pD1oCQm5sLAPD29jZY7+3trS+7W0JCgv7ZsYQQ+3bp0iW0adPG4tdVVFQgOLAZcvO1/MqoTdt+d6be+Ph4zJ8/3+Jtm5Kbm2vyOFhSUoJbt27hxo0b0Gq1JuucOnVKlj7Uxz0fdjpnzhyDNArFxcUICAjAAAyHg+Bo+kVSBkap1OLFTvxdF+7I3W+y3MmJ3w/OWQ674+zIHG2RcZqEOzn4+XDbYG7NRMuFW/x7PNqrnGubXdry++HA+fV36AS3jeohvUTLhRr+98P5wjXR8vxBvtw2PP8n/n7kRnqLlgO1083FuOdUc9u4MbFMtNzle3duG7c8xb+njz+7l9vGkGbG+brutCr//8yWVZdVYevIr+udvruqqgq5+VrkHAmEm6v4d6zkpg7BoRdw6dIlg1Twcp0dNGayBgQfn9oDU15eHnx9//4HlZeXh549e5p8jbnTNAfB0XxA4P4zAiBwAoLZtu9oQhA/4AsqGQKCwN8XgdNXBxX/i8zU4nUElfX9AGcbAMAcxD8XSPhcmIOzeBMSvh+890ztJL4NAHDg7K+UNhjnqqiDI+f9AqBuUmN1P9Qa8Y44N+N/Lk05B2LHMv6/F2svEzdtVruI0d7+eri5uRk9G0QuPj4+yMvLM1iXl5cHNzc3uLi4QK1WQ61Wm6xTdxy9F2SdqRwcHAwfHx+kpKTo15WUlODAgQMIDw+Xc1OEEGJEByZpsbXw8HCD4yAA7NmzR38cdHJyQmhoqEEdnU6HlJSUe3qstPgMobS01OBJXDk5Ofjtt9/QsmVLBAQEYMaMGXjnnXfQvn17BAcHY+7cufDz88Po0aPl7DchhBjRQQedhDqW4h335syZg7/++gvr168HALz88sv4+OOPMWvWLEyaNAk///wzvv76a2zfvl3fRlxcHGJiYtCnTx/07dsXSUlJKCsrk+V5JfVlcUA4fPgwBg8erP+77vp/TEwM1q5di1mzZqGsrAwvvfQSioqKMGDAAOzatQvOzvzTVkIIsYaWMWg59xh55abwjntXr17FxYsX9eXBwcHYvn07Xn/9dSxduhRt2rTB559/bvAQo7Fjx6KgoADz5s1Dbm4uevbsiV27dhndaG5IFgeEQYMGGT345E6CIODtt9/G22+/bVXHCCHEUjXQgXcbvqYeZwi8456pWciDBg1CVlaWaLvTp0/H9OnTLe6PrdzzUUb3TD3HOt9J7AtSh3uLjEn4cgoy3Orh9VXH74egFr/BKeV3l1DD2Y4MT/1SVfGHHjInzk1SKR/LTfHRPToJu6IpEn/XKlrybypXVYlvyDe7VLQcAPL7i4+oC2/KTz/T0VH85vYYj8Nmy8o1WnzN3QKflHsEDXEPobGy34BACFEcW10yshcUEAghiqED/+TO8gtG9oMCAiFEMbRg0HIuCfHK7RkFBEKIYmjZ3xPPxOoQ0yggEEIUgy4ZWYcCAiFEMWqYgGpOPpAaXr4QO0YBgRCiGFoI0HIGe/PK7RkFBBvjzlXQSZjLoJLhC8zrh1bKwHsZ+sG5gCs01DwEjfh2VOJD6gEAupvi4/uZhOkjmhLx973UR8I8hHJOEsbfj3Pb8GgTKFruqRafcwEAOs53rLfGfHbYm1XyXMihgGAdCgiEEMXQMQE6ziUhXrk9o4BACFEMOkOwDgUEQohiaKGClpPVX9oz1ewTBQRCiGIwCZeMGF0yMosCAiFEMaqYGo6cu/lVFBDMooBACFEMHQToOJeMKNupefdvQGAM0hIqmybLUE0eCUNGwemHlBTasqS/5vVVy7+yKkv6a952HPnP7uXti1DNH8LIOPuikpDfQFdezq3D41QsPr61ph1/2ClKOENog/y5TXRsaX5IKAAU6fgPuLquFf+ednO6abasWo4hzaCbyta6fwMCIYRYSMtU0HIuGVH6a/MoIBBCFKP2khFnHgKdIZhFAYEQohg6CcNO6R6CeRQQCCGKQZeMrEMBgRCiGNVMjWomfiO+muKBWRQQCCGKIW2mMkUEcyggEEIUQ8dU0HEuGfGystozCghimAwpeXnj/3USttEQ6a+l/CPh9UNKBu0aTiU1f86FwOmqqoqfu1rXRDxltKqa2wRUTZrwK3E4FlWIlms1Gm4bTkXi71lZ+5bcNnq6nBYtP1zeltvG2VteouVNPP5ntqyM972QiM4QrEMBgRCiGDoAWl7664bpSqNEAYEQohg6qCSkrpBh5r9CUUAghCiGtGGnFBDMoYBACFGMaqaGA3fYKd1DMIcCAiFEMaTdVKYzBHMoIBBCFIOeqWwdCgjWkGNYakOdvnKGtzKtlDGj4r+sBCn7wtsOJy01AH6e7WoJw04dxNM5q2r4+yJwhp0KEp7VqL5RJlqudXLjtuF8TfwAVxLA/2euUYm/Z//N78xt48wV8WGn3k4lZssqS6sBXOJug0daLiM6QzCHAgIhRDGkTUyjgGAOBQRCiGLQA3KsQwGBEKIYdIZgHdnfGa1Wi7lz5yI4OBguLi544IEHsHDhQmmPiiSEECtUM5U+46n5hQKCObKfIbz33ntYsWIF1q1bh65du+Lw4cOYOHEi3N3d8eqrr8q9OUII0aOJadaRPSDs378fo0aNwvDhwwEAQUFB2LhxIw4ePCj3pgghxACT8AhNRvcQzJI9VEZERCAlJQWnT9dmT/z999+xb98+PPbYYybrV1ZWoqSkxGAhhJD6qDtD4C3ENNnPEGbPno2SkhJ06tQJarUaWq0W7777Lp577jmT9RMSErBgwQK5u3H/4N07kZD+WhCs/0UjcNJwM52EQfO89NeS5iFwtqPiz0Pg7YsgYR4C70eiukrKPATOXAYJbym7USxervbltuFSIP4dKurAPwCW1IjvS/bp1tw23E6KH062uYaYLdOWVwLYyd0GD01Ms47sofLrr7/Ghg0b8NVXXyEzMxPr1q3DkiVLsG7dOpP158yZg+LiYv1y6ZL1k1MIIfapLnUFbyGmyX6G8MYbb2D27NkYN24cAKB79+64cOECEhISEBMTY1Rfo9FAI+EhIIQQwkNnCNaRPSCUl5dDpTKMwGq1GjopTwYjhBArVDM1VNxsp3QsMkf2gDBixAi8++67CAgIQNeuXZGVlYXExERMmjRJ7k0RQogBOkOwjuwBYdmyZZg7dy6mTZuG/Px8+Pn5YcqUKZg3b57cmyKEEANMwkxlRqOMzJI9ILi6uiIpKQlJSUlyN00IIaIol5F1GmcuIxmGYcpCyjBL3nBPCW1wh51K6Qd3+KuENmQYdipw01/zf71x02xLGHbKOPuiqubvC3NyFC0XJKTQ1hYVcevwNCkQ39/8fvyhvDllrUTLW/zOb8Nnb6Fo+Z+tzG9DW1HBbV8KHeNfEpLyVTdl+fLl+OCDD5Cbm4sePXpg2bJl6Nu3r8m6gwYNwt69e43WDxs2DNu3bwcATJgwwWj0ZVRUFHbt2lW/DsqgcQYEQggxwVbJ7TZv3oy4uDisXLkSYWFhSEpKQlRUFLKzs+HlZfwciO+++w5VVVX6v69du4YePXrgqaeeMqg3dOhQJCcn6/++1yMu6WIaIUQxdLdTV/AWSyUmJmLy5MmYOHEiunTpgpUrV6JJkyZYs2aNyfotW7aEj4+PftmzZw+aNGliFBA0Go1BvRYtWtRrv+VCAYEQohjVOrWkBYBRypzKykqTbVZVVeHIkSOIjIzUr1OpVIiMjERGRoakfq1evRrjxo1D06ZNDdanpaXBy8sLHTt2xNSpU3Ht2rV67rk8KCAQQhRDB0E/9NTscvsMwd/fH+7u7volISHBZJuFhYXQarXw9vY2WO/t7Y3c3Fxunw4ePIjjx4/jxRdfNFg/dOhQrF+/HikpKXjvvfewd+9ePPbYY9Dy0rvYEN1DIIQohiXZTi9dugQ3t7+fWW2r6/erV69G9+7djW5A12VzAGozOoSEhOCBBx5AWloahgwZYpO+8NAZAiFEMbhnB3dMXHNzczNYzAUEDw8PqNVq5OXlGazPy8uDj4+PaH/KysqwadMmvPDCC9y+t23bFh4eHjh79qzEvZUfBQRCiGLUjTLiLZZwcnJCaGgoUlJS/t6OToeUlBSEh4eLvnbLli2orKzE+PHjudu5fPkyrl27Bl9ffoZbW6FLRmJ4A5b5Q7OB+yVvCm/svpTrlmrxcfeQsqu8nFZS5phoOXM7qqsldEScqkrCznDmIagkZOFWNWsmWi5IGDOvuVIqWs6aNRUtB4Az1zxFy9uk3+C2wVTiB1rf/ebfkJrqGvzJ3QKfrVJXxMXFISYmBn369EHfvn2RlJSEsrIyTJw4EQAQHR2N1q1bG92HWL16NUaPHo1Wd83BKC0txYIFC/Dkk0/Cx8cH586dw6xZs9CuXTtERUVZ3D+5UEAghCiGlGGl9Rl2OnbsWBQUFGDevHnIzc1Fz549sWvXLv2N5osXLxol9czOzsa+ffvw3//+16g9tVqNo0ePYt26dSgqKoKfnx8effRRLFy48J7ORaCAQAhRjBqdCoJO/EylhlNuzvTp0zF9+nSTZWlpaUbrOnbsaDYTgYuLC3bv3l2vftgSBQRCiGJQtlPrUEAghCgGBQTrUEAghCgGA/8eQT1z29kFCgiEEMWgMwTr2G9AkOORnvXNo2tpG46c8a1S9oUz7FRSGm5euZQ03Lz015yhiwAg8N6zGgnjPTlU1fz3lHE+F5WE0a8qN1fRcqGGf/ASruaLljtoArhtlF0R74fq+mVuG5fHBIqW+y4/bLZMzawfKgxQQLCW/QYEQojiUECwDgUEQohiaCUMO9XWc9ipPaCAQAhRDFtNTLMXFBAIIYpBl4ysQwGBEKIYjAlgnAM+r9yeUUAghCgGnSFYhwICIUQx6AzBOhQQrCEltTVvzHxDpcfmjf+XMpdB4IzOkNIGb46AA/8ryZ2HUC3HPAR+OnDmIP5+qKv48zJYE2dOP7hNQFdaJt6Gmv+5OJ8Xn1Nx/SF/bhtlD94SL/9HL7NlNdUVwA9buNvgYRLOECggmEcBgRCiGFoIAOeAr6VRRmZRQCCEKAZdMrIOBQRCiGLomACBbirXGwUEQohiMMZ/WqyUlFv2igICIUQx6JKRdSggEEIUgwKCdSggiOClhBYkjFaQklbaalK20RDn0RJSeTPO8FdBwjdS0HJSecuQ/lqolDDs1FGGYacuTpw2uE1A7eUpvg0JH23zc+L7m9uXnxBuaIc/RMv/27e32TJdhQr4gbsJLrqHYB0KCIQQxdDpAEHHCQgNNPWnMaKAQAhRDLpkZB2bJAb/66+/MH78eLRq1QouLi7o3r07Dh82/7QkQgiRA5O4ENNkP0O4ceMG+vfvj8GDB2Pnzp3w9PTEmTNn0KJFC7k3RQghBugMwTqyB4T33nsP/v7+SE5O1q8LDg6WezOEEGJMyikAnSKYJfslo//85z/o06cPnnrqKXh5eaFXr1747LPP5N4MIYQYu32GILbwch3ZM9kDwp9//okVK1agffv22L17N6ZOnYpXX30V69atM1m/srISJSUlBgshhNRH3Uxl3kJMk/2SkU6nQ58+fbBo0SIAQK9evXD8+HGsXLkSMTExRvUTEhKwYMECubvRMCSMu+dhEtqQ5fcMb6ydHGPxJM2HkGE7NeJtMC1/DoHA6aogIf21zln8n4+6UsI8BI2jeBsV3Caga+UmWq6tFk9tDQCuJ66Jlt8Yr+G2MablIdHy/V2DzJZpyyu57UvBdCownfjvXF55Y/Lnn3+ibdu2srUn+zvj6+uLLl26GKzr3LkzLl68aLL+nDlzUFxcrF8uXbokd5cIIXbC3s4Q2rVrh8GDB+PLL79ERYWEXw8csgeE/v37Izs722Dd6dOnERgYaLK+RqOBm5ubwUIIIfViZ+NOMzMzERISgri4OPj4+GDKlCk4ePBgvduTPSC8/vrr+PXXX7Fo0SKcPXsWX331FVatWoXY2Fi5N0UIIQZ4N5SlDEttTHr27ImlS5fiypUrWLNmDa5evYoBAwagW7duSExMREFBgUXtyR4QHnzwQWzduhUbN25Et27dsHDhQiQlJeG5556Te1OEEGLMTs4O7uTg4IAnnngCW7ZswXvvvYezZ89i5syZ8Pf3R3R0NK5evSqpHZvcXfnHP/6BY8eOoaKiAidPnsTkyZNtsRlCCDFgb2cIdQ4fPoxp06bB19cXiYmJmDlzJs6dO4c9e/bgypUrGDVqlKR2KJcRIUQ57GxiWmJiIpKTk5GdnY1hw4Zh/fr1GDZsGFSq2t/6wcHBWLt2LYKCgiS1RwFBDG8oppo/nK8hUitKSbHN+00kRxuS9pWT/loKgbMdXbWE9Ne81OZS2oD4UEx1FX9fdbwU2hX8z6XGXbwfunL+P3N24bJoeW9f8TTdANDDqVS0/BH/bLNllaXVOM7dggRSJp4p6AxhxYoVmDRpEiZMmABfX1+Tdby8vLB69WpJ7VFAIIQoh52dIezZswcBAQH6M4I6jDFcunQJAQEBcHJyMjkHzBTlzNAghJC6MwTeohAPPPAACgsLjdZfv369Xjnk6AyBEKIYUiaeKWlimrlLvaWlpXB2dra4PQoIhBDlsJNLRnFxcQAAQRAwb948NGnSRF+m1Wpx4MAB9OzZ0+J2KSAQQpTDTm4qZ2VlAag9Qzh27BicnP6+6e/k5IQePXpg5syZFrdLAYEQohgCk5C4UAFnCKmpqQCAiRMnYunSpbKl/KGAQAhRDp1Qu/DqKMSdDyKTg90GhIYau8+/wyXDPAUJKbQZbzyZlFTenL4KUvohITU1l9b695TXV0nzEDhfEJWEeQiMMw/BQUICy+qm4v+MVWX8+TKs6wOi5T1dM7htqATxN6R/s9Nmy8qZFsu4W5DADu4hPPHEE1i7di3c3NzwxBNPiNb97rvvLGrbbgMCIUSB7CAguLu7Q7gdfN3d3WVtmwICIUQ57CAg3HmZSO5LRjQxjRCiHDacmLZ8+XIEBQXB2dkZYWFhos8dWLt2LQRBMFjunhfAGMO8efPg6+sLFxcXREZG4syZM/Xqm1zoDIEQohi2GmW0efNmxMXFYeXKlQgLC0NSUhKioqKQnZ0NLy8vk69xc3MzeFiYcNc9lvfffx8fffQR1q1bh+DgYMydOxdRUVH4448/RCeV9erVy6gtczIzMyXVq0MBgRCiHDa6ZJSYmIjJkydj4sSJAICVK1di+/btWLNmDWbPnm3yNYIgwMfHx3QXGENSUhLeeustfWrq9evXw9vbG9u2bcO4cePM9mX06NGW74BEFBAIIYohQMIZwu3/lpSUGKzXaDTQaIwzx1ZVVeHIkSOYM2eOfp1KpUJkZCQyMsyPviotLUVgYCB0Oh169+6NRYsWoWvXrgCAnJwc5ObmIjIyUl/f3d0dYWFhyMjIEA0I8fHx4jtoBQoIYhpL0hMpQ1d1nNtFsgx/lTDMkpd2WsJmeOmvpRB4Q1clpdAWL1ZV8ofY6pzFh4Q63OLva42L+GfreJN/q7A0uJlouYdDiWg5AGRXix9OWjsUmd++g0xp4i2Yqezv72+wOj4+HvPnzzeqXlhYCK1WC29vb4P13t7eOHXqlMlNdOzYEWvWrEFISAiKi4uxZMkSRERE4MSJE2jTpg1yc3P1bdzdZl2ZVEVFRfjmm29w7tw5vPHGG2jZsiUyMzPh7e2N1q1bW9QWBQRCiHJYcMno0qVLBjN8TZ0d1Fd4eDjCw8P1f0dERKBz58749NNPsXDhQtm2c/ToUURGRsLd3R3nz5/H5MmT0bJlS3z33Xe4ePEi1q9fb1F7NMqIEKIcvOcp3xEw3NzcDBZzAcHDwwNqtRp5eXkG6/Py8szeI7ibo6MjevXqhbNnzwKA/nXWtAnUJrmbMGECzpw5Y3AjetiwYfjll18kt1OHAgIhRDHqRhnxFks4OTkhNDQUKSkp+nU6nQ4pKSkGZwFitFotjh07pn+qWXBwMHx8fAzaLCkpwYEDByS3CQCHDh3ClClTjNa3bt3a4ktPAF0yIoQoiY1GGcXFxSEmJgZ9+vRB3759kZSUhLKyMv2oo+joaLRu3RoJCQkAgLfffhv9+vVDu3btUFRUhA8++AAXLlzAiy++CKB2BNKMGTPwzjvvoH379vphp35+fhaNItJoNEY3xwHg9OnT8PT0tHg/KSAQQpTDRgFh7NixKCgowLx585Cbm4uePXti165d+pvCFy9eNHiM5Y0bNzB58mTk5uaiRYsWCA0Nxf79+9GlSxd9nVmzZqGsrAwvvfQSioqKMGDAAOzatcuiB9uMHDkSb7/9Nr7++msAtYHm4sWLePPNN/Hkk09avJ8Ck5ShreGUlJTA3d0dgzAKDoKj6UoSJmUIak5CL165TG2Ak8xNd+sWtwmVi4toudBEvLy2kvjVQd2NG/x+NBfPmyI0a8ptQ3dNfDsqd34aX+Ymvh3tSf5sT6FPN9FydS7//ahu04pbh4c3yuiWh5l/A3cQOAN0CkP431OPY+Lf05fe+ZbbRifNVdFytciRuPSmDg93v4zi4uJ6pXKuO24EL1gEFeeAqquoQE78/6v3tu4nxcXFGDNmDA4fPoybN2/Cz88Pubm5CA8Px44dO9C0Kf/f5J3oDMEaUoY/yjBEUhZyDCvlbkPCbwve+yGlDS2nDU7wk9SPGgnDTjlUVfw2tC7i/wQdy/mfW5Wr+AHfqZjbBMp8xNso1/FH4PynuLdoeaTrCfPb18mQBRewi1xGd3J3d8eePXuwb98+HD16FKWlpejdu7fB/AZLUEAghCiGvTwg524DBgzAgAEDrG6HAgIhRDns4Azho48+klz31VdftahtCgiEEOWQMqy0kQeEDz/80ODvgoIClJeXo3nz5gBqZy43adIEXl5eFgcEmodACFEOCyamNVY5OTn65d1330XPnj1x8uRJXL9+HdevX8fJkyfRu3fves2IpoBACFEOOwgId5o7dy6WLVuGjh076td17NgRH374Id566y2L26NLRoQQxbC3m8pXr15FjYkRcVqt1igthhR0hkAIUQ47O0MYMmQIpkyZYvAgnCNHjmDq1Kn1GnpKZwjWkGNOX0ON3ed1QyehDd52ePMDpLQhBWeyn6CSMHGRk/6a1fDHxQu8VN4S0l/zqCWkv9a1EJ9DoCniv+elbcTfszO3vEXLAWDX+c6i5R6dbpotq6isAXCOuw0eeztDWLNmjT6lhqNj7STGmpoaREVF4fPPP7e4PQoIhBBlUdABn8fT0xM7duzA6dOn9c9m6NSpEzp06FCv9iggEEKUww7mIZjSoUOHegeBO9k8ICxevBhz5szBa6+9hqSkJFtvjhBix+zhklFcXBwWLlyIpk2bIi4uTrRuYmKiRW3bNCAcOnQIn376KUJCQmy5GUIIqWUHZwhZWVk4deoUevXqhaysLLP1BAlJQO9ms4BQWlqK5557Dp999hneeecdW22GEEL0BB0/+yuv/H6XmpoKtVqNq1evIjU1FUBteu6PPvrI6BnNlrLZsNPY2FgMHz683ln3CCHEYnYy7PTupxbs3LkTZWVlVrdrkzOETZs2ITMzE4cOHeLWraysRGVlpf5vU0//qQ/eMEpByoVE3k8JFT+eNsjjJiQNGeUNXZWSypuzHTmG0EpIFy7cJ+mveUNXhapqfhuc90xVwR+6ygQn0XLnIv57WtRJ/D3LvO7PbQNHxJ+X8VMr88NSq8uqAKTxt8FhD/cQTJHrOCP7GcKlS5fw2muvYcOGDZKe/JOQkAB3d3f94u8v4YtHCCGm2MkZgiAIRvcI6nPP4G6ynyEcOXIE+fn56N3774dlaLVa/PLLL/j4449RWVkJ9R1PGpszZ47BnfKSkhIKCoSQ+rGDm8pA7RnBhAkToNHUPriooqICL7/8stET0r777juL2pU9IAwZMgTHjh0zWDdx4kR06tQJb775pkEwAGofEl23U4QQYg17uWQUExNj8Pf48eNlaVf2gODq6opu3QyfV9u0aVO0atXKaD0hhMjKTs4QkpOTbdIuzVQmhCiGPQw7taUGCQhpaWkNsRlCiL2zkzMEW6EzBEKIYgi3F14dYhoFBGtIGDPfIOSYQyAHTlpqQMJ4aTnmMkjAm0MgZV94/RCq+XMZeL9W1besn8ugucFvQ6sRn8tw/rIHt432e8tFy0+0a222THergtu+JHSGYBUKCIQQxbCXUUa2QgGBEKIcdIZgFQoIhBBloQN+vVFAIIQoBg07tQ4FBEKIYtA9BOtQQCCEKAfdQ7AKBQQRvCGSkrILyjDck9uPhhhSCnCHt0pKwcvpq5Q2uOmvVRI+lxrxYaVMwrBT7tBVCcNOuSm0b1Xx2+C8HQ5FleIVAEDtKFrs8ic/35jj+fOi5c1OBpkt01bKcx2HzhCsQwGBEKIcdIZgFQoIhBDloIBgFQoIhBDFoEtG1qGAQAhRDEHHuPfUGuyeWyNEAYEQohx0ycgqFBAIIYpBl4ysQwGBEKIcdIZgFfsNCFJSRkMtWipp3H0DkKUfMswhkJQymve+S7m+K2U7PLwU2lK2UcNpo0bKPAROCu1KCfMQOF1VF5Vy24DWVbTY/Sz/30ve0EDRcs8s8/Mhamoqkc3dAh+dIVjHfgMCIUR56AzBKhQQCCGKQWcI1qGAQAhRDiYhmykFBLMoIBBClIMx/v2w++Te3/2IAgIhRDHokpF1KCAQQpSDbipbhQKCGN4QSClpliUNb20AvGGWEnDTcEs4FWe891TC+8V0Et53Dt5wT52EfVFx3lMmZdgpb+iqhGGnqhpOSvGb/GGnqirx97T5iRvcNk7Fig9d9dx40myZmvH3UwpbPjFt+fLl+OCDD5Cbm4sePXpg2bJl6Nu3r8m6n332GdavX4/jx48DAEJDQ7Fo0SKD+hMmTMC6desMXhcVFYVdu3bVr4MyUN2zLRNCiNyYxMVCmzdvRlxcHOLj45GZmYkePXogKioK+fn5JuunpaXhmWeeQWpqKjIyMuDv749HH30Uf/31l0G9oUOH4urVq/pl48aNlndORhQQCCGKUXcPgbdYKjExEZMnT8bEiRPRpUsXrFy5Ek2aNMGaNWtM1t+wYQOmTZuGnj17olOnTvj888+h0+mQkpJiUE+j0cDHx0e/tGjRoj67LRsKCIQQxajLdspbAKCkpMRgqaw0PZO6qqoKR44cQWRkpH6dSqVCZGQkMjIyJPWrvLwc1dXVaNmypcH6tLQ0eHl5oWPHjpg6dSquXbtWzz2XBwUEQohyWHDJyN/fH+7u7volISHBZJOFhYXQarXw9vY2WO/t7Y3c3FxJ3XrzzTfh5+dnEFSGDh2K9evXIyUlBe+99x727t2Lxx57DFo5UrPUE91UJoQohiXDTi9dugQ3Nzf9eo2G/9zo+li8eDE2bdqEtLQ0ODs769ePGzdO///du3dHSEgIHnjgAaSlpWHIkCE26QsPnSEQQpSjbmIabwHg5uZmsJgLCB4eHlCr1cjLyzNYn5eXBx8fH9HuLFmyBIsXL8Z///tfhISEiNZt27YtPDw8cPbsWQt2WF4UEAghimGLm8pOTk4IDQ01uCFcd4M4PDzc7Ovef/99LFy4ELt27UKfPn2427l8+TKuXbsGX19fyzooI7pkZI2GehQfbztS5hg0xHR9Od4PKf2U4xorrw1J6a85dWRIf82qq7ltqCs58xBKy/htVIiX646e4rbxYNdWouU32wWYL9RWAse5m+Cz0cS0uLg4xMTEoE+fPujbty+SkpJQVlaGiRMnAgCio6PRunVr/X2I9957D/PmzcNXX32FoKAg/b2GZs2aoVmzZigtLcWCBQvw5JNPwsfHB+fOncOsWbPQrl07REVFWd5BmVBAIIQohq1SV4wdOxYFBQWYN28ecnNz0bNnT+zatUt/o/nixYtQqf6+4LJixQpUVVVhzJgxBu3Ex8dj/vz5UKvVOHr0KNatW4eioiL4+fnh0UcfxcKFC212L0MKCgiEEOXQMkDFe5BT/c5kp0+fjunTp5ssS0tLM/j7/Pnzom25uLhg9+7d9eqHLcl+DyEhIQEPPvggXF1d4eXlhdGjRyM7W45nIRFCiDgBEu4h3OtO3sdkDwh79+5FbGwsfv31V+zZswfV1dV49NFHUVbGv45JCCFWsWCUETEm+yWjuxMzrV27Fl5eXjhy5AgeeughuTdHCCF6lP7aOja/h1BcXAwARlO261RWVhpMGS8pKbF1lwghSkXpr61i04Cg0+kwY8YM9O/fH926dTNZJyEhAQsWLLCsYUmnfJzhfDr+1TJBxcujy2+Dm+5ZDlLeDxnSX3PbkDJUk5feWkobEt53Lt5wTwmfm8AZdqrjbAMAhGrO/lbxh52qqjmpvCs4Y0oBOJaJX1lXd3iA28ZYrz2i5YmdnjVbVlNdIcuwU4Exbhp2KWna7ZVNJ6bFxsbi+PHj2LRpk9k6c+bMQXFxsX65dOmSLbtECFEyncSFmGSzM4Tp06fjxx9/xC+//II2bdqYrafRaO7puFtCiHLcmc1UrA4xTfaAwBjDK6+8gq1btyItLQ3BwcFyb4IQQkyTMoqILhmZJXtAiI2NxVdffYXvv/8erq6u+inb7u7ucHFxkXtzhBCiR6OMrCP7PYQVK1aguLgYgwYNgq+vr37ZvHmz3JsihBBDNA/BKja5ZEQIIfeCoKtdeHWIaZTLiBCiHHQPwSoUEKzBG1PfUNuRMMdAljM3ThuybEPKCBDe/BApbUhITc0lQwpt3jwEJqGfDhXibQgSRvE53hQvr2zTnNtGmPMV0fJSP/NXqLWVMl29polpVqGAQAhRDEGng8D5gcQrt2cUEAghysHAn3hGZwhmUUAghCgGpa6wDgUEQohyMEi4qdwgPWmUKCAQQpSDRhlZhQICIUQ5dOA/Eo3uKZtFAUFEg6SuloGk4Z5y7EsDjM5gklJoWz9EkTucU8qQYk76ayn7IlSL90NKG6pKzrBTtZrbhlOJ+Pejqjn/UOGqEt9OlZv5Mm2l+TJL0D0E61BAIIQoh07CVGUadmoWBQRCiHLQPQSrUEAghCgH3UOwCgUEQohi0D0E61BAIIQoB10ysgoFBEKIcugkPCGnkYwevBcoIBBClIPOEKxivwFByjhzQYaUvDKkyObNhxCkPBNQjn7wrs1KGc4nxz9W3th8KfuqleH94M1lkPBLlDcPQUoKbdWtas5GeHdZAc1N8e3UaPj/Fi7UiG+HiUxTkGFqye2GdPxhpQ2Vtr4Rst+AQAhRHp2EByLQJSOzKCAQQpSD6fhnAHSGYBYFBEKIctA9BKtQQCCEKAddMrIKBQRCiHLQGYJVKCAQQpSDHpBjFeUGBN6XQsJQvEZz86mh+sk51ZZj6KCklNFSPjvedrjpryUcNao4wz2lfC6VVZwm+P1Q3eK0we8FnIrE3w+tpyO3jd2lXUXL1WIprsV3QTqtFmCc75BOQop1O6XcgEAIsT90ycgqFBAIIcpBAcEqFBAIIcpBo4ysQgGBEKIYjOnAOPdueOX2jAICIUQ5GOOfAdAlI7MoIBBClINJuGREAcEsCgiEEOXQagGBlw2Xhp2aQwHB1uT4NcK7JqqTK3ewdf2AHP/OJNzwY5xfgFLG7gsS5jtw+8GZyyClH6za+rkMQnmFeBMSvoOOReJt1LiI5K6+bcuF3qLlmhvm+6GtkudXO9PpwAS6h1BfFBAIIcpBl4ysQgGBEKIcUh6hSQHBLJtda1i+fDmCgoLg7OyMsLAwHDx40FabIoSQWoz9/UwEs0v9AoKlx7QtW7agU6dOcHZ2Rvfu3bFjx467usowb948+Pr6wsXFBZGRkThz5ky9+iYXmwSEzZs3Iy4uDvHx8cjMzESPHj0QFRWF/Px8W2yOEEIA1N63kbJYytJj2v79+/HMM8/ghRdeQFZWFkaPHo3Ro0fj+PHj+jrvv/8+PvroI6xcuRIHDhxA06ZNERUVhYoK8fs5tmSTgJCYmIjJkydj4sSJ6NKlC1auXIkmTZpgzZo1ttgcIYTU4p4dSHiimgmWHtOWLl2KoUOH4o033kDnzp2xcOFC9O7dGx9//HFtNxlDUlIS3nrrLYwaNQohISFYv349rly5gm3btlnzDlhF9nsIVVVVOHLkCObMmaNfp1KpEBkZiYyMDKP6lZWVqKz8Ow1icXExAKAG1TZOU2t9xkxJZLleyeurLGlG+b2QYV8YEx+ZIzAZMplK2BcVZzs6xhn9A0DFxFN0SmmD6cTb0EpoAzqxNKKAjtPP2g2Jt1FTzR9lpC0Xb0NbZf6Xb12ZlBFRYqq1FWCc4W41qH1PS0pKDNZrNBpoNBqj+pYe0wAgIyMDcXFxBuuioqL0B/ucnBzk5uYiMjJSX+7u7o6wsDBkZGRg3LhxovtgK7IHhMLCQmi1Wnh7exus9/b2xqlTp4zqJyQkYMGCBUbr92GH0TpZNab7Sry+NtS+cDJGy0LC8U8W5TK0cVOGNq7L0MZfMrRxVIY29ljfxLVr1+Du7m7x65ycnODj44N9udKOG82aNYO/v7/Buvj4eMyfP9+orqXHNADIzc01WT83N1dfXrfOXJ174Z6PMpozZ45BJC0qKkJgYCAuXrxYry9GY1dSUgJ/f39cunQJbm5u97o7Dcqe9x2w7/0vLi5GQEAAWrZsWa/XOzs7IycnB1VV0h6swBgzeq6GqbMDeyN7QPDw8IBarUZeXp7B+ry8PPj4+BjVN3ea5u7ubnf/KO7k5uZmt/tvz/sO2Pf+q1T1v/zp7OwMZ2dnGXtTy9JjGgD4+PiI1q/7b15eHnx9fQ3q9OzZU8beW0b2m8pOTk4IDQ1FSkqKfp1Op0NKSgrCw8Pl3hwhhNhUfY5p4eHhBvUBYM+ePfr6wcHB8PHxMahTUlKCAwcO3NvjJLOBTZs2MY1Gw9auXcv++OMP9tJLL7HmzZuz3Nxc7muLi4sZAFZcXGyLrt337Hn/7XnfGbPv/b/f9513THv++efZ7Nmz9fXT09OZg4MDW7JkCTt58iSLj49njo6O7NixY/o6ixcvZs2bN2fff/89O3r0KBs1ahQLDg5mt27davD9q2OTgMAYY8uWLWMBAQHMycmJ9e3bl/3666+SXldRUcHi4+NZRUWFrbp2X7Pn/bfnfWfMvve/Mey72DHt//7v/1hMTIxB/a+//pp16NCBOTk5sa5du7Lt27cblOt0OjZ37lzm7e3NNBoNGzJkCMvOzm6IXTFLYIzmcRNCCLFh6gpCCCGNCwUEQgghACggEEIIuY0CAiGEEAANFBDsIW2sKQkJCXjwwQfh6uoKLy8vjB49GtnZ2aKvWbt2LQRBMFjunmzTGPZ//vz5RvvRqVMn0dco5XMHgKCgIKP9FwQBsbGxJus35s/9l19+wYgRI+Dn5wdBEIySs9W337zjRkVFBWJjY9GqVSs0a9YMTz75pNFkMGIhWw9j2rRpE3NycmJr1qxhJ06cYJMnT2bNmzdneXl5Juunp6cztVrN3n//ffbHH3+wt956y+T4XXd3d7Zt2zb2+++/s5EjR97z8bumREVFseTkZHb8+HH222+/sWHDhrGAgABWWlpq9jXJycnMzc2NXb16Vb/cPX+jMex/fHw869q1q8F+FBQUmK2vpM+dMcby8/MN9n3Pnj0MAEtNTTVZvzF/7jt27GD/+te/2HfffccAsK1btxqU16ffUo4bL7/8MvP392cpKSns8OHDrF+/fiwiIsJWu2kXbB4Q+vbty2JjY/V/a7Va5ufnxxISEkzWf/rpp9nw4cMN1oWFhbEpU6YwxmrH7vr4+LAPPvhAX15UVMQ0Gg3buHGjDfZAPvn5+QwA27t3r9k6ycnJzN3d3Wx5Y9n/+Ph41qNHD8n1lfy5M8bYa6+9xh544AGm0+lMlivlc787INS337zjRlFREXN0dGRbtmzR1zl58iQDwDIyMmTcI/ti00tGdWlj70zxKiVt7J31gdq0sXX1eWlj72d1qb15CbxKS0sRGBgIf39/jBo1CidOnNCXNab9P3PmDPz8/NC2bVs899xzuHjxotm6Sv7cq6qq8OWXX2LSpElGCdXupJTP/U716beU48aRI0dQXV1tUKdTp04ICAi4r9+P+51NA4JY2lhzKV4ba9pYHp1OhxkzZqB///7o1q2b2XodO3bEmjVr8P333+PLL7+ETqdDREQELl++DKDx7H9YWBjWrl2LXbt2YcWKFcjJycHAgQNx86bpnNFK/dwBYNu2bSgqKsKECRPM1lHK5363+vRbynEjNzcXTk5OaN68ueR2Cd89T39tL2JjY3H8+HHs27dPtF54eLhBcquIiAh07twZn376KRYuXGjrbsrmscce0/9/SEgIwsLCEBgYiK+//hovvPDCPexZw1u9ejUee+wx+Pn5ma2jlM+dNG42PUOwddpYqW3ea9OnT8ePP/6I1NRUtGnTxqLXOjo6olevXjh79iyAxrn/ANC8eXN06NBBvx93U+LnDgAXLlzATz/9hBdffNGi1ynlc69Pv6UcN3x8fFBVVYWioiLJ7RI+mwYEu0obawJjDNOnT8fWrVvx888/Izg42OI2tFotjh07ps+Z3pj2/06lpaU4d+6cQe73Oynpc79TcnIyvLy8MHz4cItep5TPvT79lnLcCA0NhaOjo0Gd7OxsXLx48b5+P+57tr5rbS9pY02ZOnUqc3d3Z2lpaQbDCcvLy/V17t7/BQsWsN27d7Nz586xI0eOsHHjxjFnZ2d24sQJfZ3GsP///Oc/WVpaGsvJyWHp6eksMjKSeXh4sPz8fMaYsj/3OlqtlgUEBLA333zTqExJn/vNmzdZVlYWy8rKYgBYYmIiy8rKYhcuXJDc74cffpgtW7ZM/7eUFPovv/wyCwgIYD///DM7fPgwCw8PZ+Hh4Q234wpk84DAmH2kjTUFtU87NlqSk5P1de7e/xkzZujfK29vbzZs2DCWmZlp0G5j2P+xY8cyX19f5uTkxFq3bs3Gjh3Lzp49qy9X8udeZ/fu3QyAyT4q6XNPTU01+T2v2z8p/Q4MDGTx8fEG63gp9G/dusWmTZvGWrRowZo0acIef/xxdvXqVVvuquJR+mtCCCEAKJcRIYSQ2yggEEIIAUABgRBCyG0UEAghhACggEAIIeQ2CgiEEEIAUEAghBByGwUEQgghACggEEIIuY0CAiGEEAAUEAghhNxGAYEQQggA4P8D5O7+0TIxx/AAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Prepare the plot for fidelity\n", + "fig, ax = plt.subplots(figsize=(4, 3))\n", + "\n", + "# Plot the fidelity matrix\n", + "im = ax.imshow(\n", + " fidelity_matrix,\n", + " extent=[amp2_range[0], amp2_range[-1], amp1_range[0], amp1_range[-1]],\n", + " aspect=\"auto\",\n", + " origin=\"lower\",\n", + " vmin=0.0,\n", + " vmax=1.0, # Fidelity ranges from 0 to 1\n", + ")\n", + "\n", + "ax.set_title(\"iSWAP Gate Fidelity\")\n", + "axes[k].set_xlabel(\"Amplitude 2 (a.u.)\")\n", + "axes[k].set_ylabel(\"Amplitude 1 (a.u.)\")\n", + "ax.set_xticks(np.linspace(amp2_range[0], amp2_range[-1], n_xticks))\n", + "ax.set_xticklabels(\n", + " [f\"{x:.2f}\" for x in np.linspace(amp2_range[0], amp2_range[-1], n_xticks)]\n", + ")\n", + "\n", + "# Add color bar for fidelity\n", + "cbar = fig.colorbar(im, ax=ax, orientation=\"vertical\", label=\"Fidelity\")\n", + "cbar.set_ticks(np.linspace(0, 1, 5))\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Max fidelity: 0.9764\n", + "Pulse 2 amplitude for max fidelity: 9.66 a.u.\n", + "Pulse 1 amplitude for max fidelity: 5.17 a.u.\n" + ] + } + ], + "source": [ + "# Find the pulse parameters that maximize fidelity\n", + "max_fidelity = np.max(fidelity_matrix)\n", + "max_fidelity_indices = np.where(fidelity_matrix == max_fidelity)\n", + "\n", + "# Since the indices are returned in a tuple of arrays, we take the first element\n", + "max_fidelity_amp_idx, max_fidelity_width_idx = (\n", + " max_fidelity_indices[0][0],\n", + " max_fidelity_indices[1][0],\n", + ")\n", + "\n", + "# Retrieve the amplitude and width that correspond to the maximum fidelity\n", + "max_fidelity_amp2 = amp2_range[max_fidelity_width_idx]\n", + "max_fidelity_amp1 = amp1_range[max_fidelity_amp_idx]\n", + "\n", + "print(f\"Max fidelity: {max_fidelity:.4f}\")\n", + "print(f\"Pulse 2 amplitude for max fidelity: {max_fidelity_amp2:.2f} a.u.\")\n", + "print(f\"Pulse 1 amplitude for max fidelity: {max_fidelity_amp1:.2f} a.u.\")" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.0%. Run time: 0.01s. Est. time left: 00:00:00:00\n", + "20.0%. Run time: 0.02s. Est. time left: 00:00:00:00\n", + "30.0%. Run time: 0.03s. Est. time left: 00:00:00:00\n", + "40.0%. Run time: 0.03s. Est. time left: 00:00:00:00\n", + "50.0%. Run time: 0.04s. Est. time left: 00:00:00:00\n", + "60.0%. Run time: 0.05s. Est. time left: 00:00:00:00\n", + "70.0%. Run time: 0.05s. Est. time left: 00:00:00:00\n", + "80.0%. Run time: 0.06s. Est. time left: 00:00:00:00\n", + "90.0%. Run time: 0.06s. Est. time left: 00:00:00:00\n", + "Total run time: 0.07s\n" + ] + } + ], + "source": [ + "# set the calibrated width and amplitude\n", + "pulse1.amp = max_fidelity_amp1\n", + "pulse2.amp = max_fidelity_amp2\n", + "lambda_pulse1 = lambda t, args: pulse1.drive(t, args1) # noqa: E731\n", + "lambda_pulse2 = lambda t, args: pulse2.drive(t, args2) # noqa: E731\n", + "\n", + "# calibrated Qobj list\n", + "H = hamiltonian.driven(lambda_pulse1, lambda_pulse2)\n", + "\n", + "e_ops = e_ops = [quantum_system.modes_num[m] for m in quantum_system.modes]\n", + "solve_result = qt.mesolve(\n", + " H,\n", + " psi0,\n", + " t_list,\n", + " e_ops=e_ops,\n", + " progress_bar=p_bar,\n", + " c_ops=c_ops,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the state evolution ( vs time) for each mode (one plot total)\n", + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "for k, mode in enumerate(quantum_system.modes):\n", + " ax.plot(t_list, solve_result.expect[k], label=mode.name)\n", + "ax.set_xlabel(\"Time (dt)\")\n", + "ax.set_ylabel(\"Mode Occupation\")\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Avg Fidelity: 0.9808\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0a9584f3fb454ab195029a0feda1f9aa", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/250 [00:00\\otimes|0>, |01>\\otimes|0>, |10>\\otimes|0>, |11>\\otimes|0>\n", + "\n", + "fid_a = 0\n", + "\n", + "assert qubit1.dim == qubit2.dim == 2\n", + "for qubit_state in product([qt.basis(2, 0), qt.basis(2, 1)], repeat=2):\n", + " psi0 = qt.tensor(qubit_state[0], qubit_state[1], qt.basis(cavity.dim, 0))\n", + " expected_psi = U * psi0\n", + "\n", + " # rerun mesolve using previously calibrated pulses\n", + " solve_result = qt.mesolve(\n", + " H,\n", + " psi0,\n", + " t_list,\n", + " # progress_bar=p_bar,\n", + " c_ops=c_ops,\n", + " )\n", + "\n", + " # Calculate fidelity with the expected final state\n", + " fidelity = qt.fidelity(expected_psi, solve_result.states[-1])\n", + " # print(f\"Fidelity: {fidelity:.4f}\")\n", + " fid_a += fidelity\n", + "\n", + "print(f\"Avg Fidelity: {fid_a / 4:.4f}\")\n", + "\n", + "# setup B.\n", + "# prepare a randomly sampled (Haar measure) set of qubit states, and a vacuum cavity state\n", + "K = 250\n", + "fid_b = 0\n", + "for _ in tqdm(range(K)):\n", + " psi0 = qt.tensor(\n", + " qt.rand_ket_haar(4, dims=[[2, 2], [1, 1]]), qt.basis(cavity.dim, 0)\n", + " )\n", + " expected_psi = U * psi0\n", + "\n", + " # rerun mesolve using previously calibrated pulses\n", + " solve_result = qt.mesolve(\n", + " H,\n", + " psi0,\n", + " t_list,\n", + " # progress_bar=p_bar,\n", + " c_ops=c_ops,\n", + " )\n", + "\n", + " # Calculate fidelity with the expected final state\n", + " fidelity = qt.fidelity(expected_psi, solve_result.states[-1])\n", + " # print(f\"Fidelity: {fidelity:.4f}\")\n", + " fid_b += fidelity\n", + "\n", + "print(f\"Avg Fidelity: {fid_b / K:.4f}\")" + ] + } + ], + "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": "3.9.17" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/notebooks/qutrit_gates/05_vswap.ipynb b/src/notebooks/qutrit_gates/05_vswap.ipynb new file mode 100644 index 0000000..9e19da3 --- /dev/null +++ b/src/notebooks/qutrit_gates/05_vswap.ipynb @@ -0,0 +1,134 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "from qiskit.circuit.library import iSwapGate\n", + "from qiskit import QuantumCircuit\n", + "from qiskit.quantum_info import Operator\n", + "from qutip import Qobj" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qc = QuantumCircuit(3)\n", + "qc.iswap(0, 1)\n", + "qc.iswap(1, 2)\n", + "qc.draw(\"mpl\")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Quantum object: dims = [[8], [8]], shape = (8, 8), type = oper, isherm = False $ \\\\ \\left(\\begin{matrix}1.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 1.0j & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 1.0j & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & -1.0 & 0.0\\\\0.0 & -1.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 1.0j & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 1.0j & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 1.0\\\\\\end{matrix}\\right)$" + ], + "text/plain": [ + "Quantum object: dims = [[8], [8]], shape = (8, 8), type = oper, isherm = False\n", + "Qobj data =\n", + "[[ 1.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [ 0.+0.j 0.+0.j 0.+1.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [ 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+1.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [ 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j -1.+0.j 0.+0.j]\n", + " [ 0.+0.j -1.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [ 0.+0.j 0.+0.j 0.+0.j 0.+1.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n", + " [ 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+1.j 0.+0.j 0.+0.j]\n", + " [ 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 1.+0.j]]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Qobj(Operator(qc).data)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/evm9/quantum_logical/.venv/lib/python3.9/site-packages/qutip/qobj.py:303: UserWarning: Initializing Qobj from unsupported type: \n", + " warnings.warn(\"Initializing Qobj from unsupported type: %s\" %\n" + ] + }, + { + "data": { + "text/latex": [ + "Quantum object: dims = [[1], [1]], shape = (1, 1), type = bra $ \\\\ \\left(\\begin{matrix}0.0\\\\\\end{matrix}\\right)$" + ], + "text/plain": [ + "Quantum object: dims = [[1], [1]], shape = (1, 1), type = bra\n", + "Qobj data =\n", + "[[0.]]" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qutip.qip.circuit import QubitCircuit, Gate\n", + "from qutip.qip.circuit import CircuitSimulator\n", + "from qutip import tensor, basis\n", + "\n", + "qc = QubitCircuit(N=3, num_cbits=1, dims=[2, 5, 2])\n", + "qc.add_gate(\"ISWAP\", targets=[0, 1])\n", + "qc.add_gate(\"ISWAP\", targets=[1, 2])\n", + "\n", + "Qobj(qc)" + ] + } + ], + "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": "3.9.17" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/notebooks/scqubits/01_main.ipynb b/src/notebooks/scqubits/01_main.ipynb new file mode 100644 index 0000000..be9ddd2 --- /dev/null +++ b/src/notebooks/scqubits/01_main.ipynb @@ -0,0 +1,358 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "pycharm": { + "name": "#%% md\n" + } + }, + "source": [ + "# scqubits example: Jaynes-Cummings model\n", + "J. Koch and P. Groszkowski\n", + "\n", + "For further documentation of scqubits see https://scqubits.readthedocs.io/en/latest/.\n", + "\n", + "---" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-31T11:43:53.057632Z", + "start_time": "2020-03-31T11:43:53.000813Z" + }, + "init_cell": true, + "pycharm": { + "name": "#%%\n" + }, + "scrolled": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "import scqubits as scq\n", + "from scqubits import HilbertSpace, InteractionTerm, ParameterSweep" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "pycharm": { + "name": "#%% md\n" + } + }, + "source": [ + "## The Jaynes-Cummings model\n", + "\n", + "The Jaynes-Cummings mode describes a system composed of a qubit (two-level system) coupled to a harmonic oscillator. The coupling is such that a qubit excitation can be \"converted\" into a photon and vice versa,\n", + "\n", + "$\\displaystyle H=-\\frac{\\omega_q}{2}\\sigma_z + \\omega_r a^\\dagger a + g (a\\sigma_+ + a^\\dagger \\sigma_-)$\n", + "\n", + "This model can be solved exactly, resulting in the following eigenenergies:\n", + "\n", + "$\\displaystyle E_0 = -\\frac{1}{2}\\omega_q$,\n", + "\n", + "$\\displaystyle E_{n\\pm} = \\bigg(n-\\frac{1}{2}\\bigg) \\omega_r \\pm \\sqrt{\\frac{\\Delta^2}{4}+n g^2}$,\n", + "\n", + "where $\\Delta=\\omega_r-\\omega_q$ and $n=1,2,\\ldots$.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "pycharm": { + "name": "#%%\n" + } + }, + "outputs": [], + "source": [ + "# exact eigenenergies for comparing with numerics\n", + "\n", + "\n", + "def energies(frequency_r, frequency_q, g, n_cutoff):\n", + " delta = frequency_r - frequency_q\n", + " energies1 = (np.arange(1, n_cutoff) - 0.5) * frequency_r\n", + " energies2 = np.sqrt(delta**2 / 4 + np.arange(1, n_cutoff) * g**2)\n", + " energies_plus = energies1 + energies2\n", + " energies_minus = energies1 - energies2\n", + " energies_0 = np.asarray([[-0.5 * frequency_q]])\n", + " all_energies = np.append(energies_0, energies_minus)\n", + " all_energies = np.append(all_energies, energies_plus)\n", + " return np.sort(all_energies)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "pycharm": { + "name": "#%% md\n" + } + }, + "source": [ + "### Set up the subsystems" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-31T11:43:54.037807Z", + "start_time": "2020-03-31T11:43:54.024841Z" + }, + "pycharm": { + "name": "#%%\n" + } + }, + "outputs": [], + "source": [ + "frequency_q = 1.0\n", + "frequency_r = 0.8\n", + "g = 0.1\n", + "\n", + "qubit = scq.GenericQubit(E=frequency_q)\n", + "\n", + "osc = scq.Oscillator(E_osc=frequency_r, truncated_dim=2) # up to 9 photons" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "pycharm": { + "name": "#%% md\n" + } + }, + "source": [ + "### Set up Hilbert space" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-31T11:44:00.099411Z", + "start_time": "2020-03-31T11:44:00.092429Z" + }, + "pycharm": { + "name": "#%%\n" + } + }, + "outputs": [], + "source": [ + "# Form a list of all components making up the Hilbert space.\n", + "hilbertspace = HilbertSpace([qubit, osc])\n", + "\n", + "hilbertspace.add_interaction(\n", + " g_strength=g, op1=qubit.sm_operator, op2=osc.creation_operator, add_hc=True\n", + ")\n", + "hilbertspace.generate_lookup()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "ExecuteTime": { + "end_time": "2020-03-31T11:43:54.772581Z", + "start_time": "2020-03-31T11:43:54.765597Z" + }, + "pycharm": { + "name": "#%%\n" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "HilbertSpace: subsystems\n", + "-------------------------\n", + "\n", + "GenericQubit--------| [GenericQubit_9]\n", + " | E: 1.0\n", + " |\n", + " | dim: 2\n", + "\n", + "\n", + "Oscillator----------| [Oscillator_9]\n", + " | E_osc: 0.8\n", + " | l_osc: None\n", + " | truncated_dim: 2\n", + " |\n", + " | dim: 2\n", + "\n", + "\n", + "\n", + "HilbertSpace: interaction terms\n", + "--------------------------------\n", + "InteractionTerm----------| [Interaction_1]\n", + " | g_strength: 0.1\n", + " | operator_list: [(0, qutip.Qobj: """Create a selective destruction operator for a specified transition. diff --git a/src/quantum_logical/pulsesim/README.md b/src/quantum_logical/pulsesim/README.md new file mode 100644 index 0000000..7540d92 --- /dev/null +++ b/src/quantum_logical/pulsesim/README.md @@ -0,0 +1,4 @@ +I originally wrote this code in path_compression repository under guidance from Mingkang. I am moving it here for continued development. +We want to investigate how the pulse simulation compares to the trotterized simulation. We will go on to use that information to inform the design of architectures and algorithms. + +Update: we are going to migrate from this custom composite Hilbert-space manager in favor of using `scqubits`. diff --git a/src/quantum_logical/pulsesim/__init__.py b/src/quantum_logical/pulsesim/__init__.py new file mode 100644 index 0000000..69ff556 --- /dev/null +++ b/src/quantum_logical/pulsesim/__init__.py @@ -0,0 +1,23 @@ +"""This is the pulsesim package of the quantum_logical library. + +This package provides classes and functions for simulating quantum systems, +modes, and pulses within a quantum logical framework. It includes the following +main components: + +- Hamiltonian: A class for representing Hamiltonians in quantum systems. +- QuantumSystem: A class for handling quantum systems. +- QuantumMode: A class for representing quantum modes. +- Pulse: A class for simulating quantum pulses. + +Use these modules to build and simulate quantum mechanical systems and their +interactions through various pulses and modes. +""" + +# Importing the modules from the package +from .hamiltonian import Hamiltonian +from .mode import QuantumMode +from .pulse import Pulse +from .system import QuantumSystem + +# Specifying what is available for import when using 'from quantum_logical.pulsesim import *' +__all__ = ["Hamiltonian", "QuantumSystem", "QuantumMode", "Pulse"] diff --git a/src/quantum_logical/pulsesim/hamiltonian.py b/src/quantum_logical/pulsesim/hamiltonian.py new file mode 100644 index 0000000..7484d34 --- /dev/null +++ b/src/quantum_logical/pulsesim/hamiltonian.py @@ -0,0 +1,197 @@ +"""Hamiltonian for a quantum system.""" + +# FIXME after making some changes to the code - +# I am unsure if the docstring equations are all accurate + + +from abc import ABC + +import numpy as np + +from quantum_logical.pulsesim.mode import CavityMode, QuantumMode, SNAILMode +from quantum_logical.pulsesim.pulse import Pulse +from quantum_logical.pulsesim.system import QuantumSystem + + +class Hamiltonian(ABC): + """Hamiltonian for a quantum system.""" + + def __init__(self, quantum_system: QuantumSystem, use_RWA=True, use_TLS=True): + """Initialize the Hamiltonian for a given quantum system. + + Args: + quantum_system (QuantumSystem): The quantum system for which the Hamiltonian is constructed. + use_RWA (bool): Flag to indicate whether to use the Rotating Wave Approximation. + use_TLS (bool): Flag to indicate whether to use the Two-Level System approximation. + """ + self.system = quantum_system + self.use_TLS = use_TLS + self.use_RWA = use_RWA + + def _build_H(self): + """Generate the Hamiltonian for the system.""" + self.H = 0 + + for mode in self.system.modes: + self.H += mode.H_0(self.system, RWA=self.use_RWA, TLS=self.use_TLS) + + self.H += self._H_int() + + def _H_int(self): + r"""Generate the coupling part of the Hamiltonian. + + This includes terms for each coupling in the system: + :math:`H_{\text{int}} = 2 \pi \sum_{\text{couplings}} g_2 (\hat{a}_m + \hat{a}_m^{\dagger})(\hat{a}_n + \hat{a}_n^{\dagger})` + where \( g_2 \) is the coupling strength between modes \( m \) and \( n \). + """ + H_int = 0 + for (mode1, mode2), g2 in self.system.couplings.items(): + _field1 = self.system.modes_field[mode1] + _field2 = self.system.modes_field[mode2] + H_int += g2 * _field1 * _field2 + + return H_int + + +class QubitQubitSNAIL(Hamiltonian): + """Hamiltonian for a quantum system with two qubits and a SNAIL mode.""" + + def __init__(self, quantum_system: QuantumSystem, use_RWA=True, use_TLS=True): + """Initialize the Hamiltonian for a given quantum system.""" + super().__init__(quantum_system, use_RWA, use_TLS) + + # grab references to modes + self.q1_mode = self.system.modes[1] # Q1 + self.q2_mode = self.system.modes[0] # Q2 + self.snail_mode = self.system.modes[2] # SNAIL + self.snail_field = self.system.modes_field[self.snail_mode] + + # make sure our quantum system is set up correctly + assert isinstance(self.q1_mode, QuantumMode) + assert isinstance(self.q2_mode, QuantumMode) + assert isinstance(self.snail_mode, SNAILMode) + assert len(self.system.modes) == 3 + + # build the Hamiltonian, using standard coupling terms + self._build_H() + + def driven(self, pulse: Pulse): + """Return the Hamiltonian with the pulse applied.""" + return [self.H, [self.snail_field, pulse.drive]] + + +class QubitQubitCavity(Hamiltonian): + """Hamiltonian for a quantum system with two qubits and a cavity mode. + + Reference: + [1] A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf + doi: 10.1103/PhysRevA.69.062320. + [2] A. Blais et al., Phys. Rev. A, vol. 75, no. 3, p. 032329, Mar. 2007, doi: 10.1103/PhysRevA.75.032329. + """ + + def __init__(self, quantum_system: QuantumSystem): + """Initialize the Hamiltonian for a given quantum system.""" + super().__init__(quantum_system) + + # grab references to modes + self.q1_mode = self.system.modes[0] # Q1 + self.q2_mode = self.system.modes[1] # Q2 + self.cavity_mode = self.system.modes[2] + + # make sure our quantum system is set up correctly + assert isinstance(self.q1_mode, QuantumMode) + assert isinstance(self.q2_mode, QuantumMode) + assert isinstance(self.cavity_mode, CavityMode) + assert len(self.system.modes) == 3 + + self._build_H() + + def _build_H(self): + """Generate the Hamiltonian for the system.""" + self.H = 0 + + for mode in self.system.modes: + self.H += mode.H_0(self.system, RWA=self.use_RWA, TLS=self.use_TLS) + + # override the interaction term + def _H_int(self): + r"""Generate the coupling part of the Hamiltonian. + + Equation [1](32), substracting the non-interacting terms which + will be included by self._build_H() + + Returns a list of terms [H1, H2, H3] where H1 is scaled by + \eta1(t) H2 is scaled by \eta2(t) H3 is scaled by \eta1(t) * + \eta2(t) + """ + H1, H2, H3 = 0, 0, 0 + + _g1 = self.system.couplings[(self.q1_mode, self.cavity_mode)] + _g2 = self.system.couplings[(self.q2_mode, self.cavity_mode)] + + _delta1 = np.abs(self.q1_mode.freq - self.cavity_mode.freq) + _delta2 = np.abs(self.q2_mode.freq - self.cavity_mode.freq) + + # get reference to operators relative to composite quantum system + _q1_a = self.system.modes_a[self.q1_mode] + _q1_adag = self.system.modes_a_dag[self.q1_mode] + _q2_a = self.system.modes_a[self.q2_mode] + _q2_adag = self.system.modes_a_dag[self.q2_mode] + _q1_Z = self.system.modes_Z[self.q1_mode] + _q2_Z = self.system.modes_Z[self.q2_mode] + _cavity_num = self.system.modes_num[self.cavity_mode] + + H1 = _g1**2 / _delta1 * _q1_Z * _cavity_num + H1 += _g1**2 / (2 * _delta1) * _q1_Z + + H2 = _g2**2 / _delta2 * _q2_Z * _cavity_num + H2 += _g2**2 / (2 * _delta2) * _q2_Z + + # _J = _g1 * _g2 * (_delta1 + _delta2) / (2 * _delta1 * _delta2) + _J = _g1 * _g2 * (1 / _delta1 + 1 / _delta2) / 2 + H3 = _J * (_q1_a * _q2_adag + _q1_adag * _q2_a) + + return [H1, H2, H3] + + def driven(self, pulse1: Pulse, pulse2: Pulse): + r"""Return the Hamiltonian with the two pulses applied. + + Args: + pulse1 (Pulse): The first pulse to apply. + pulse2 (Pulse): The second pulse to apply. + + These pulses define \eta(t), some time-dependent function that scales the coupling terms, g2. + When eta(t) = 0, the coupling terms are unchanged from the inherent physical system. + We define two time-dependent functions, which control the couplings between qubit1 and the cavity, and + between qubit2 and the cavity, respectively. + + Given the Hamiltonian [1](32), [2](5.2), we then factor out the time-dependent functions. In order for these to work + with mesolve(), they must be linearly multiplied by the time-dependent pulse functions. Therefore, from the Hamiltonian + we end up factoring (1+2\eta+\eta^2) from the first coupling term, (1+2\eta+\eta^2) from the second coupling term, + and (1+\eta1+\eta2+\eta1\eta2) from the third coupling term. These are the functions returned by this method. + """ + _H1, _H2, _H3 = self._H_int() + + def transformed_pulse1(t, args): + # eta = pulse1.drive(t, args) + eta = pulse1(t, args) + return 1 + 2 * eta + eta**2 + + def transformed_pulse2(t, args): + # eta = pulse2.drive(t, args) + eta = pulse2(t, args) + return 1 + 2 * eta + eta**2 + + def transformed_pulse3(t, args): + # eta1 = pulse1.drive(t, args) + eta1 = pulse1(t, args) + # eta2 = pulse2.drive(t, args) + eta2 = pulse2(t, args) + return 1 + eta1 + eta2 + eta1 * eta2 + + return [ + self.H, + [_H1, transformed_pulse1], + [_H2, transformed_pulse2], + [_H3, transformed_pulse3], + ] diff --git a/src/quantum_logical/pulsesim/mode.py b/src/quantum_logical/pulsesim/mode.py new file mode 100644 index 0000000..4c4af6e --- /dev/null +++ b/src/quantum_logical/pulsesim/mode.py @@ -0,0 +1,187 @@ +"""Class representing a single mode in a quantum system.""" + +from abc import ABC, abstractmethod + +import numpy as np +import qutip as qt + + +class QuantumMode(ABC): + """Class representing a single mode in a quantum system.""" + + def __new__(cls, **kwargs): + """Create a new QuantumMode instance of the appropriate subclass.""" + mode_type = kwargs["mode_type"] + if cls is QuantumMode: + if mode_type == "Qubit": + return super().__new__(QubitMode) + elif mode_type == "Cavity": + return super().__new__(CavityMode) + elif mode_type == "SNAIL": + return super().__new__(SNAILMode) + else: + raise ValueError(f"Unknown mode type: {mode_type}") + return super().__new__(cls) + + def __init__(self, **kwargs): + """Initialize a QuantumMode instance representing a single mode. + + Args: + name (str): The name of the quantum mode. + freq (float): The frequency of the quantum mode (GHz). + dim (int): The dimension of the Hilbert space for this mode. + """ + self.name = kwargs["name"] + self.freq = kwargs["freq"] * 2 * np.pi # Convert from GHz to rad/ns + self.dim = kwargs["dim"] + + # lifetimes + self.T1 = kwargs.get("T1", 100000) # relaxation time (ns) + self.T2 = kwargs.get("T2", 50000) # dephasing time (ns) + self.Tphi = 1 / (1 / self.T2 - 1 / (2 * self.T1)) # phase coherence time (ns) + + # collapse rates + self.gamma_1 = 1 / self.T1 if self.T1 > 0 else 0 + self.gamma_phi = 1 / self.Tphi if self.Tphi > 0 else 0 + + # Initialize quantum operators + self.a = qt.destroy(self.dim) # Annihilation operator + self.a_dag = self.a.dag() # Creation operator + self.num = qt.num(self.dim) # Number operator + self.field = self.a + self.a_dag # Field operator + if self.dim == 2: + self.Z = qt.sigmaz() + # FIXME, not a well defined operator + else: + self.Z = qt.identity(self.dim) + # self.Z = self.a * self.a_dag - self.a_dag * self.a # Z operator + + def __repr__(self) -> str: + """Return a string representation of the QuantumMode.""" + return f"{self.__class__.__name__}(name={self.name}, freq={self.freq / (2 * np.pi)} GHz, dim={self.dim})" + + def _get_operators(self, system): + """Return the appropriate set of operators depending on the context.""" + if system is not None: + return ( + system.modes_a[self], + system.modes_a_dag[self], + system.modes_num[self], + system.modes_field[self], + system.modes_Z[self], + ) + return self.a, self.a_dag, self.num, self.field, self.Z + + def collapse_operators(self, system=None): + """Return the collapse operators for the mode. + + See qutip.lindblad_dissipator and qutip. + + Args: + system (QuantumSystem, optional): The quantum system to which the mode belongs. + + Returns: + list: The collapse operators for the mode. + """ + a, _, num, _, _ = self._get_operators(system) + return [np.sqrt(self.gamma_1) * a, np.sqrt(self.gamma_phi / 2) * num] + + @abstractmethod + def H_0(self, system=None, **kwargs): + """Calculate the non-perturbed Hamiltonian for the mode. + + Args: + system (QuantumSystem, optional): The quantum system to which the mode belongs. + If provided, the Hamiltonian is calculated using operators that are part of the + larger system's Hilbert space. If None, the Hamiltonian is calculated for the mode in isolation. + + Returns: + qutip.Qobj: The Hamiltonian operator for this mode. + """ + pass + + +class QubitMode(QuantumMode): + """Class representing a single Qubit mode in a quantum system.""" + + def __init__(self, **kwargs): + """Initialize a QubitMode instance representing a single Qubit mode.""" + super().__init__(**kwargs) + self.alpha = kwargs["alpha"] * 2 * np.pi # Convert alpha from GHz to rad/s + + def H_0(self, system=None, **kwargs): + """Calculate the Hamiltonian for a Qubit mode, with optional RWA/TLS. + + Args: + system (QuantumSystem, optional): The quantum system to which the mode belongs. + RWA (bool, optional): Flag to use the Rotating Wave Approximation. Defaults to True. + TLS (bool, optional): Flag to use the Two-Level System approximation. Defaults to True. + + Returns: + qutip.Qobj: The Hamiltonian operator for this Qubit mode. + """ + RWA = kwargs.get("RWA", True) + TLS = kwargs.get("TLS", True) + + a, a_dag, num, _, Z = self._get_operators(system) + + if TLS: # TLS overrides RWA + if self.dim != 2: + raise ValueError("TLS approximation requires a 2-level system.") + return -self.freq * Z / 2 + elif RWA: + alpha_term = self.alpha / 2 * a_dag * a_dag * a * a + return self.freq * num + alpha_term + else: + return (self.freq - self.alpha) * num + self.alpha / 12 * num**4 + + +class CavityMode(QuantumMode): + """Class representing a single Cavity mode in a quantum system.""" + + def __init__(self, **kwargs): + """Initialize a CavityMode instance.""" + super().__init__(**kwargs) + + def H_0(self, system=None, **kwargs): + """Calculate the Hamiltonian for a Cavity mode. + + Args: + system (QuantumSystem, optional): The quantum system to which the mode belongs. + + Returns: + qutip.Qobj: The Hamiltonian operator for this Cavity mode. + """ + _, _, num, _, _ = self._get_operators(system) + return self.freq * num + + +class SNAILMode(QuantumMode): + """Class representing a single SNAIL mode in a quantum system.""" + + def __init__(self, **kwargs): + """Initialize a SNAILMode instance representing a single SNAIL mode.""" + super().__init__(**kwargs) + self.g3 = kwargs["g3"] * 2 * np.pi # Convert g3 from GHz to rad/s + + def H_0(self, system=None, **kwargs): + """Calculate the Hamiltonian for a SNAIL mode, with optional RWA. + + Args: + system (QuantumSystem, optional): The quantum system to which the mode belongs. + RWA (bool, optional): Flag to use the Rotating Wave Approximation. Defaults to True. + + Returns: + qutip.Qobj: The Hamiltonian operator for this SNAIL mode. + """ + RWA = kwargs.get("RWA", True) + + a, a_dag, num, field, _ = self._get_operators(system) + + # for some reason, SNAIL RWA breaks my simulation + + if RWA: + g3_term = self.g3 / 2 * (a_dag * a * a + a * a_dag * a_dag) + return self.freq * num + g3_term + else: + return self.freq * num + self.g3 / 6 * field**3 diff --git a/src/quantum_logical/pulsesim/pulse.py b/src/quantum_logical/pulsesim/pulse.py new file mode 100644 index 0000000..7b111f7 --- /dev/null +++ b/src/quantum_logical/pulsesim/pulse.py @@ -0,0 +1,77 @@ +"""Class representing a single pulse.""" + +import matplotlib.pyplot as plt +import numpy as np + + +class Pulse: + """Class representing a single pulse.""" + + def __init__(self, omega, amp, phi=0): + """Initialize the Pulses object with common parameters. + + Args: + omega (float): Base frequency of the pulses. + amp (float): Base amplitude of the pulses. + phi (float): Base phase of the pulses. + """ + self.omega = omega + self.amp = amp + self.phi = phi + + @staticmethod + def gaussian(t, t0, width, nsig=6): + """Gaussian pulse shape.""" + return np.exp(-0.5 * ((t - t0 - width * nsig / 2) / width) ** 2) + + @staticmethod + def smoothbox(t, t0, width, k=0.5, b=3): + """Smooth box pulse shape.""" + return 0.5 * (np.tanh(k * (t - t0) - b) - np.tanh(k * (t - t0 - width) + b)) + + @staticmethod + def box(t, t0, width): + """Box pulse shape.""" + return np.heaviside(t - t0, 0) - np.heaviside(t - t0 - width, 0) + + def drive(self, t, args): + """Drive function applying amplitude and frequency modulation.""" + envelope = args["shape"](t, **args["shape_params"]) + return self.amp * np.cos(self.omega * t + self.phi) * envelope + + @staticmethod + def plot_pulse(pulses, t_list, show=True): + """Plot pulse envelopes and their modulated signals on the same plot. + + Parameters: + - pulses: A list of tuples, each containing a pulse instance and its corresponding args dict. + - t_list: A list or array of time points at which to evaluate the pulses. + - show: A boolean indicating whether to show the plot immediately. + """ + for index, (pulse, args) in enumerate(pulses): + pulse_shape = args["shape"] + shape_params = args["shape_params"] + envelope_values = [pulse_shape(t, **shape_params) for t in t_list] + modulated_values = [ + pulse.drive(t, {"shape": pulse_shape, "shape_params": shape_params}) + for t in t_list + ] + + plt.plot( + t_list, + modulated_values, + linestyle="--", + alpha=0.7, + label=f"Modulated {index + 1}", + ) + plt.plot( + t_list, envelope_values, linewidth=2, label=f"Envelope {index + 1}" + ) + + plt.xlabel("Time (dt)") + plt.ylabel("Amplitude") + plt.title("Envelope and Modulated Signals") + plt.legend() + + if show: + plt.show() diff --git a/src/quantum_logical/pulsesim/system.py b/src/quantum_logical/pulsesim/system.py new file mode 100644 index 0000000..03c6771 --- /dev/null +++ b/src/quantum_logical/pulsesim/system.py @@ -0,0 +1,136 @@ +"""Class representing a quantum system.""" + +from functools import reduce +from pathlib import Path +from typing import Dict, List, Tuple + +import numpy as np +import qutip as qt +import yaml + +from quantum_logical.pulsesim.mode import QuantumMode + + +class QuantumSystem: + """Class representing a quantum system.""" + + def __init__( + self, modes: List[QuantumMode], couplings: Dict[Tuple[QuantumMode], float] + ): + """Initialize a quantum system with given modes and couplings. + + Args: + modes (list): A list of QuantumMode instances. + couplings (dict): A dictionary where keys are tuples of coupled QuantumMode instances, + and values are the coupling strengths. + """ + self.modes = modes + self.couplings = couplings + self._initialize_mode_operators() + + def _initialize_mode_operators(self): + """Initialize transformed system ops for each mode in the system. + + Creates and stores annihilators, number operators, and field + operators for each mode. + """ + self.modes_a = {mode: self._tensor_op(mode, mode.a) for mode in self.modes} + self.modes_a_dag = { + mode: self._tensor_op(mode, mode.a_dag) for mode in self.modes + } + self.modes_num = {mode: self._tensor_op(mode, mode.num) for mode in self.modes} + self.modes_field = { + mode: self._tensor_op(mode, mode.field) for mode in self.modes + } + self.modes_Z = {mode: self._tensor_op(mode, mode.Z) for mode in self.modes} + + def _tensor_op(self, mode: QuantumMode, op: qt.Qobj): + """Tensor an operator with the identity operator on all other modes. + + Args: + mode (QuantumMode): The mode for which the operator is defined. + op (qutip.Qobj): The operator to be tensored. + + Returns: + qutip.Qobj: The tensored operator in the Hilbert space of the entire system. + """ + mode_index = self.modes.index(mode) + op_list = [qt.qeye(m.dim) for m in self.modes] + op_list[mode_index] = op + return reduce(qt.tensor, op_list) + + def prepare_tensor_fock_state(self, mode_states: List[Tuple[QuantumMode, int]]): + """Prepare a Fock product state for specified modes. + + Args: + mode_states (list of tuples): Each tuple contains a QuantumMode object and an integer + representing the Fock state number for that mode. + Modes not included in the list are assumed to be in the 0 state. + + Returns: + qutip.Qobj: Tensor product state as a QuTiP object. + """ + state_list = [qt.basis(mode.dim, 0) for mode in self.modes] + for mode, state in mode_states: + if mode not in self.modes: + raise ValueError(f"Mode {mode} not found in system.") + state_list[self.modes.index(mode)] = qt.basis(mode.dim, state) + + return reduce(qt.tensor, state_list) + + def mode_population_expectation( + self, system_state: qt.Qobj, mode: QuantumMode, fock_state: int + ): + """Calculate expectation of the population of a mode in a given state. + + Args: + system_state (qutip.Qobj): The state of the entire quantum system. + mode (QuantumMode): The mode for which the population is calculated. + fock_state (int): The Fock state number for the mode. + + Returns: + float: The expectation value of the mode population. + """ + fock_state = qt.basis(mode.dim, fock_state) + fock_state_op = fock_state * fock_state.dag() + system_fock_state_op = self._tensor_op(mode, fock_state_op) + return qt.expect(system_fock_state_op, system_state) + + def __repr__(self) -> str: + """Return a string representation of the QuantumSystem.""" + return f"QuantumSystem({self.modes})" + + @classmethod + def from_yaml(cls, file_path: str): + """Create a QuantumSystem instance from a YAML file. + + Args: + file_path (str): Path to the YAML file containing modes and couplings data. + + Returns: + QuantumSystem: An instance of QuantumSystem initialized from the YAML file. + """ + yaml_path = Path(file_path).resolve() + if not yaml_path.exists(): + raise FileNotFoundError(f"YAML file not found at: {yaml_path}") + + with open(yaml_path, "r") as file: + data = yaml.safe_load(file) + + modes = [] + for name, properties in data["modes"].items(): + mode = QuantumMode(name=name, **properties) + modes.append(mode) + + # Process couplings + couplings = {} + for _, coupling in data["couplings"].items(): + mode_names = coupling["modes"] + mode_objs = [ + next(mode for mode in modes if mode.name == name) for name in mode_names + ] + + # Convert g2 from GHz to rad/s + couplings[tuple(mode_objs)] = coupling["g2"] * 2 * np.pi + + return cls(modes, couplings) diff --git a/src/quantum_logical/pulsesim/system_params/system_params.yaml b/src/quantum_logical/pulsesim/system_params/system_params.yaml new file mode 100644 index 0000000..3870971 --- /dev/null +++ b/src/quantum_logical/pulsesim/system_params/system_params.yaml @@ -0,0 +1,46 @@ +modes: + # q1: + # mode_type: "Qubit" + # freq: 4.004 + # alpha: -0.1739 + # dim: 9 + q2: + mode_type: "Qubit" + freq: 5.06167 + alpha: -0.161 + dim: 2 + T1: 100000 # ns + T2: 50000 # us + # q3: + # mode_type: "Qubit" + # freq: 4.16829 + # alpha: -0.160 + # dim: 9 + q4: + mode_type: "Qubit" + freq: 4.54944 + alpha: -0.1275 + dim: 2 + T1: 100000 # us + T2: 50000 # us + SNAIL: + mode_type: "SNAIL" + freq: 4.27515 + g3: 0.3 + dim: 10 + T1: 100000 # us + T2: 50000 # us + +couplings: + # q1s: + # g2: 0.0252 + # modes: [q1, SNAIL] + q2s: + g2: 0.05467 + modes: [q2, SNAIL] + # q3s: + # g2: 0.04875 + # modes: [q3, SNAIL] + q4s: + g2: 0.0435 + modes: [q4, SNAIL] diff --git a/src/quantum_logical/qudit_op.py b/src/quantum_logical/qudit_op.py index 7319635..8681e33 100644 --- a/src/quantum_logical/qudit_op.py +++ b/src/quantum_logical/qudit_op.py @@ -1,4 +1,5 @@ """Qudit operations.""" + import warnings import numpy as np diff --git a/src/quantum_logical/trotter.py b/src/quantum_logical/trotter.py index b946edd..b6cb554 100644 --- a/src/quantum_logical/trotter.py +++ b/src/quantum_logical/trotter.py @@ -1,4 +1,5 @@ """Trotterization of continuous operators.""" + from typing import Iterable import numpy as np