QAOA_2Qubit_EXPERIMENT_STANDARD_RX.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import time\n",
    "from collections import namedtuple\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import qiskit as q\n",
    "import qiskit.tools.jupyter\n",
    "from qiskit.pulse import pulse_lib as _  # only want to call pulse_lib as q.pulse.pulse_lib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pulse_compiler_helper_fns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AccountProvider for IBMQ(hub='ibm-q', group='open', project='main')>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q.IBMQ.load_account() # Load account from disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/alijavadi/Desktop/ajavadia-terra/qiskit/pulse/channels/pulse_channel_spec.py:87: DeprecationWarning: The PulseChannelSpec is deprecated. Use backend.configuration() instead. The supported methods require some migrations; check out the release notes for the complete details.\n",
      "  DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "provider = q.IBMQ.get_provider(group='qiskit-terra', project='pulse-testing')\n",
    "backend = provider.get_backend('alt_almaden')\n",
    "system = q.pulse.PulseChannelSpec.from_backend(backend)\n",
    "config = backend.configuration()\n",
    "cmd_def = q.pulse.CmdDef.from_defaults(backend.defaults().cmd_def, backend.defaults().pulse_library)\n",
    "measure = cmd_def.get('measure', qubits=backend.configuration().meas_map[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "beta = 3 * np.pi / 4\n",
    "gamma = np.pi / 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "schedules = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "HH = cmd_def.get('u2', qubits=[0], P0=0, P1=np.pi) | cmd_def.get('u2', qubits=[1], P0=0, P1=np.pi)\n",
    "CNOT_RZ_CNOT = cmd_def.get('cx', qubits=[0, 1])\n",
    "CNOT_RZ_CNOT |= cmd_def.get('u1', qubits=[1], P0=gamma) << CNOT_RZ_CNOT.duration\n",
    "CNOT_RZ_CNOT |= cmd_def.get('cx', qubits=[0, 1]) << CNOT_RZ_CNOT.duration\n",
    "# RX(beta) = U3(beta, 3*pi/2, pi/2), hence line below\n",
    "RXRX = cmd_def.get('u3', qubits=[0], P0=beta, P1=3*np.pi/2, P2=np.pi/2) | cmd_def.get('u3', qubits=[1], P0=beta, P1=3*np.pi/2, P2=np.pi/2)\n",
    "\n",
    "schedule = HH\n",
    "schedule |= CNOT_RZ_CNOT << schedule.duration\n",
    "schedule |= RXRX << schedule.duration\n",
    "schedule |= measure << schedule.duration\n",
    "\n",
    "schedules.append(schedule)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Optimized Way: zz_interaction decomposes directly to cross resonancefor theta in thetas:\n",
    "circuit = q.QuantumCircuit(2)\n",
    "circuit.h(0)\n",
    "circuit.h(1)\n",
    "circuit.zz_interaction(gamma, 0, 1)\n",
    "\n",
    "decomposed_circuit = circuit.decompose()\n",
    "\n",
    "pulse_compiler_helper_fns.update_basis_gates_and_cmd_def(decomposed_circuit, backend, system, cmd_def)\n",
    "transpiled_circuit = q.transpile(decomposed_circuit, backend, optimization_level=1)\n",
    "\n",
    "schedule = q.schedule(transpiled_circuit, backend=backend, cmd_def=cmd_def)\n",
    "schedule |= RXRX << schedule.duration\n",
    "schedule |= measure << schedule.duration\n",
    "schedules.append(schedule)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/alijavadi/Desktop/ajavadia-terra/qiskit/providers/models/backendconfiguration.py:399: UserWarning: The control channel appropriate for an interaction should be determined from the hamiltonian. This will be determined for you in the future.\n",
      "  warnings.warn(\"The control channel appropriate for an interaction should be determined \"\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x864 with 2 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[0].draw(channels=[config.drive(0), config.drive(1), config.control(0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x864 with 2 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[1].draw(channels=[config.drive(0), config.drive(1), config.control(0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "job is 5dd9a7e897300300184d4886\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/lib/python3.6/site-packages/ipywidgets/widgets/widget_layout.py:84: DeprecationWarning: Layout properties overflow_x and overflow_y have been deprecated and will be dropped in a future release. Please use the overflow shorthand property instead\n",
      "  warnings.warn(\"Layout properties overflow_x and overflow_y have been deprecated and will be dropped in a future release. Please use the overflow shorthand property instead\", DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "shots = 8000\n",
    "job = q.execute(schedules, backend=backend, shots=shots)\n",
    "print('job is %s' % job.job_id())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.VALIDATING: 'job is being validated'>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Run a mitigation cal job"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import qiskit.ignis.mitigation.measurement as mit\n",
    "meas_qcs, meas_labels = mit.complete_meas_cal(qubit_list=[0,1])\n",
    "meas_qcs_transpiled = q.transpile(meas_qcs, backend, basis_gates=['x'])\n",
    "meas_schedules = q.schedule(meas_qcs_transpiled, backend=backend, cmd_def=cmd_def)\n",
    "job_mit = q.execute(meas_schedules, backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.VALIDATING: 'job is being validated'>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job_mit.status()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "## Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.result import marginal_counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = job.result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "An error occurred while sending download completion acknowledgement: '502 Server Error: Bad Gateway for url: https://api-qcon.quantum-computing.ibm.com/api/Network/ibm-q-dev/Groups/qiskit-terra/Projects/pulse-testing/Jobs/5dd9a7ff2efcfc00184eb76a/resultDownloaded?access_token=...'\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[0.96484375, 0.08496094, 0.0859375 , 0.00683594],\n",
       "       [0.02539062, 0.89648438, 0.00195312, 0.07519531],\n",
       "       [0.00878906, 0.00292969, 0.890625  , 0.09960938],\n",
       "       [0.00097656, 0.015625  , 0.02148438, 0.81835938]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# mitigate results\n",
    "result_mit = marginal_counts(job_mit.result(), [0,1])\n",
    "readout_fitter = mit.CompleteMeasFitter(result_mit, meas_labels)\n",
    "readout_fitter.cal_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "before mitigation:\n",
      "{'00': 567, '01': 3997, '10': 3294, '11': 142}\n",
      "\n",
      "\n",
      "\n",
      " after mitigation:\n",
      "{'00': 8.650831512661543e-10, '01': 4383.837571919393, '10': 3616.162428079817}\n"
     ]
    }
   ],
   "source": [
    "standard_counts = marginal_counts(result.get_counts(0), [0,1])\n",
    "print('before mitigation:')\n",
    "print(standard_counts)\n",
    "\n",
    "standard_counts = readout_fitter.filter.apply(standard_counts)\n",
    "print('\\n\\n\\n after mitigation:')\n",
    "print(standard_counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "before mitigation:\n",
      "{'00': 584, '01': 3874, '10': 3421, '11': 121}\n",
      "\n",
      "\n",
      "\n",
      " after mitigation:\n",
      "{'00': 8.895925212948589e-10, '01': 4243.64438415951, '10': 3756.3556158395113, '11': 8.808104341632283e-11}\n"
     ]
    }
   ],
   "source": [
    "optimized_counts = marginal_counts(result.get_counts(1), [0,1])\n",
    "print('before mitigation:')\n",
    "print(optimized_counts)\n",
    "\n",
    "optimized_counts = readout_fitter.filter.apply(optimized_counts)\n",
    "print('\\n\\n\\n after mitigation:')\n",
    "print(optimized_counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sanitize data and plot\n",
    "for key in standard_counts:\n",
    "    standard_counts[key] = int(standard_counts[key])\n",
    "for key in optimized_counts:\n",
    "    optimized_counts[key] = int(optimized_counts[key])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'00': 0, '01': 4383, '10': 3616}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "standard_counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'00': 0, '01': 4243, '10': 3756, '11': 0}"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "optimized_counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/alijavadi/Desktop/ajavadia-terra/qiskit/visualization/counts_visualization.py:187: PendingDeprecationWarning: \n",
      "The label function will be deprecated in a future version. Use Tick.label1 instead.\n",
      "  tick.label.set_fontsize(14)\n"
     ]
    },
    {
     "data": {
      "image/png": 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btiYlJVUBjBgxYk+PHj32n3zyyeUAF1544dcfffRRzOGOnzRpUlLHjh2rH3/88RKAmTNn9vztb3+7vn///vsBHnzwwY39+/cfvH///sLZs2d3Pf300+vifeSRRza+9NJLByVPTaG1pcRTJk6cyK5du8jNzWXPnj3k5uZy8803H1Bn+fLldZ+nTp1Kp06dACgqKqKqqoqqqiomTZrE4MGDWbRoEYMHD2bXrl2sWuUby/7666/Tt+/hJtUWEQmODRs2tI+Pj68MC6t7skNSUlLlxo0b2wP06dOnsra8c+fONbGxsVXr169vcm9I796965KgyMjImri4uKra7aioqJq9e/eGNX4kPPzwwz0WLlwY89ZbbxXWxrdp06YOV155ZWpMTExWTExMVkZGRnpYWBjFxcXtN27c2L5+vLGxsTVdunSpOlT7hxP0nhuRlhQZGck999zD2LFjcc4xZswYxo8fT05ODqeccgrTp09n8uTJfP7555gZkZGRvP7664dtc9iwYVx22WVkZWXRrl07YmNj6+bwEBEJpaSkpP2bN2/uUF1dTW0CsWHDhg4DBgyoWLduXYeSkpK6RGbXrl3tdu/eHd63b9/KQzYYIHPnzo1+8MEH+8ybN+/f3bt3r64tj4uL2//cc88VnnXWWd80PKZ37977CwoKomq3y8rK2n399ddHlaeo50Y8595776WyspL9+/fz97//HYDc3FymT/et0LFw4UL27dtHeXk5O3fubHT8zPPPP3/Aq+J//OMfqaiooLy8nC1bthzwaKsxc+fOJS0tjdTUVB566KGD9s+cOZOePXuSlZVFVlYWzz//PADr1q1j+PDhZGVlkZ6ezu9+97u6Y5YuXcrgwYNJTU3ltttua9L4IhHxtjFjxnwTFRVVPXXq1PiKigp75513Yj788MMu3//+93cAzJs3r/N7770XvW/fPpsyZUqfIUOGfFP7SKp79+5Vq1evjgh0TGvXrm0/ceLEfs8991zhkCFDDpgV8dprr916zz33JNYObN64cWP4yy+/3AVgwoQJOz/88MO6eO+4444E55wdTQzquREJsOrqam655Rb+/ve/k5iYyIgRIxg3bhyDBg06oN5ll13Gk08+eUBZ7969+eSTT4iIiGDPnj1kZGQwbtw4EhISmDx5Ms899xwnnngi5513HnPnzuXcc88N5qWJiF8w5qFpisjISPfnP/957eTJk4974okn4nv16rX/mWeeKRw6dOg+gHHjxm2fNm1a7+XLl0cPGjRo7+zZs7+qPfYnP/nJxhtvvDH56quvbvfb3/52XXx8/FE9Amrob3/7W2xpaWn7iRMn9p84cSIACQkJlWvXrl15zz33bHXO2VlnnTVw27Zt7bt167Z//PjxO6+66qqvs7Oz9/3qV79af80116SUl5eH3XjjjZvj4uKOqpcpaDMUt0aaoVhawsKFC7nvvvt47733AHjwwQcBuOuu/6wNO3PmTJYsWXJQclPf9u3bGTp0KIsWLcLMOO200/j3v/8NwOzZs5k3bx7PPvtsC16JyLHJKzMUX3zxxcl9+vSpfPzxxzeGOpaWcLgZivVYSiTASkpKDpjhODExsW4NnfreeusthgwZwiWXXFK3Tg/Ahg0bGDJkCElJSdx5550kJCRQUlJywMSBh2pTRESU3IgEXGO9oWYHPja+8MILKSoq4osvvmDs2LFcffXVdfuSkpL44osvWLt2LS+99BJbtmxpUpsiIuKjMTciAZaYmHhAT0xxcTEJCQkH1Kk/i/L111/PnXfeeVA7CQkJpKen889//pOTTz6Z4uLiw7YpIlLfW2+9VRTqGEJFPTciATZixAjWrFlDYWEhlZWVvPrqqwct3Fl/SYg5c+ZwwgknAL6kpby8HICdO3fWrT7eu3dvYmJiWLRoEc45Zs2axfjx44N3USIibYh6bkQCLDw8nCeffJKzzz6b6upqJk2aRHp6Oj//+c/Jzs5m3LhxPP7448yZM4fw8HC6devGzJkzAVi1ahV33HEHZoZzjh//+McMHjwYgGeeeYZrrrmG8vJyzj33XL0pJRI8NTU1NdauXbtj9w2cVqampsaAmkPt19tSeltKRETqaeRtqTnx8fGDevbsuUsJTujV1NTYtm3bOm/evDk/MzNzXGN11HMjIiJyGFVVVddt3rz5+c2bN2eg4RytQQ2woqqq6rpDVVByIyIichjDhw/fCjTaQyCtkzJQERER8RQlNyIiIuIpeiwlnnD9o6E9/4zbQ3t+ERH5D/XciIiIiKcouRERERFPUXIjIiIinqLkRkRERDxFyY2IiIh4ipIbERER8RS9Ci4SAF+m3RfS8/cvCO35RURaE/XciIiIiKcouRERERFPUXIjIiIinqLkRkRERDxFyY2IiIh4ipIbEfGcuXPnkpaWRmpqKg899NAh67355puYGUuWLAHglVdeISsrq+6nXbt2LF++HIClS5cyePBgUlNTue2223DOBeVaRKT5lNyIiKdUV1dzyy238O6775Kfn8/s2bPJz88/qF5ZWRmPP/44I0eOrCu78sorWb58OcuXL+cPf/gDycnJZGVlATB58mSee+451qxZw5o1a5g7d27QrklEmkfJjYh4yqeffkpqair9+vWjQ4cOXH755bz99tsH1Zs6dSo/+clPiIyMbLSd2bNnM2HCBAA2bdrE7t27GTVqFGbGxIkT+ctf/tKi1yEiR0/JjYh4SklJCUlJSXXbiYmJlJSUHFDn888/Z8OGDVxwwQWHbOe1116rS25KSkpITEw8bJsi0npohmIR8ZTGxsKYWd3nmpoafvSjHzFz5sxDtrF48WI6duxIRkZGk9oUkdZFPTci4imJiYls2LChbru4uJiEhIS67bKyMlasWMGYMWNITk5m0aJFjBs3rm5QMcCrr75a12tT22ZxcfEh2xSR1kXJjYh4yogRI1izZg2FhYVUVlby6quvMm7cuLr9nTt3prS0lKKiIoqKijjxxBOZM2cO2dnZgK9n54033uDyyy+vO6Z3797ExMSwaNEinHPMmjWL8ePHB/3aRKRplNyIiKeEh4fz5JNPcvbZZ3PCCSdw6aWXkp6ezs9//nPmzJlzxONzc3NJTEykX79+B5Q/88wzXHfddaSmptK/f3/OPffclroEEfmW7FieqyE7O9vV74qWtuv6R0N7/p8+c19Iz9/aVgV/4IEHuP/++3HOccYZZxzytek77riDRx55hJdeeomJEyeyYMECTjnllLo3mFJSUsjPz6e0tJRBgwaxa9cuzIysrCwWLVoUzEuSY4iZLXXOZYc6Djl66rkRkYCqrKxk2rRpvP/+++zcuZP58+c32mOyceNGnn/+eTp16nRAeUREBOXl5ZSXlx8wP81Pf/pTKioqKC0tZdWqVdx///0tfi0i0jYpuRGRgJo5cyadO3dmzJgxREdHk5OTw1NPPXVQvfPPP58f/vCHhIcf+aXNHj16MGXKFACio6NJSUlh7dq1AY9dRLxByY2IBFRBQQHdu3ev205JSWHTpk0H1Jk9ezZbt25ttPeloqKCjh070qVLF5588smD9q9bt46VK1cyadKkwAcvIp6g5EZEAupI4/iqqqqYPHkyr7322kH7hgwZwurVq9m7dy9PPvkkt99++wGvYO/bt4/s7GwuuOACxowZE+jQRcQjlNyISEAdf/zxbN++vW67sLCQ3r17121v3LiR3bt3M2bMGMLDw9m1axfXXnsts2bNIjY2lgEDBgBw1VVXER0dzYcfflh37JAhQ0hISODPf/5z8C5IRNocJTciElATJ05k165d5ObmsmfPHnJzc7n55pvr9vft25eamhqqqqqoqqqic+fOvPjii0ycOJFVq1ZRWVkJwLx58ygrK+Pkk08GYPTo0XzzzTcsXbo0JNclIm2HkhsRCajIyEjuuecexo4dS9euXRk9ejTjx48nJyeHu++++7DHvvDCC8TGxhIVFcV5553Hz372M/r3789nn33Gxx9/TGlpKTExMURFRXH11VcH6YpEpK3RPDea58YTNM9NaM8v4iWa56btU8+NiIiIeIqSGxEREfGUI8+eJSLSBnyZdl9Iz69HgyKth3puRERExFOU3IiIiIinKLkRERERTwl6cmNmN5tZoZntM7OlZnZKE48bbWZVZraiQfk1ZuYa+YlsmSsQERGR1iyoyY2ZXQY8BvwSGAp8ArxrZn2PcFxXYBbwj0NU2Qv0rv/jnNsXqLhFRESk7Qh2z80UYKZzboZzbpVz7lZgEzD5CMf9HngJWHiI/c45t7n+TwBjFhERkTYkaK+Cm1kHYDjwvw12vQ+cdJjjbgbigf8Cph6iWpSZrQPCgOXAVOfc5986aBFpspDPEh3a04tIKxLMeW564Es+tjQo3wKMbewAMxsM3Auc6JyrNrPGqhUAk4A8IAb4IfCxmWU659Y00uYNwA0ACQkJzJs3D4B+/foRExNDXl4eAN27dyc9PZ3c3FwAwsPDGT16NMuWLWP37t0AZGdns2XLFjZs2ADAgAEDiIiIYMUK37CgXr16MXDgQBYsWABAREQEo0aNYsmSJezZsweAkSNHUlxcTElJCQBpaWmEhYWRn58PQHx8PCkpKSxc6Ou0ioqKYuTIkSxevJjy8nIARo0aRWFhIZs3+zqsBg0aRHV1NQUFBQD06dOHxMREFi9eDEB0dDTZ2dksXLiQiooKwLco4erVq9m6dSsAGRkZVFRUsGaN70+YlJREXFwctctVxMbGMmzYMBYsWEBVVRUAOTk5rFy5sm5F6MzMTMrKyvjqq68ASE5Oplu3bixbtgyArl27kpmZyfz583HOYWaceuqp5OXlsXPnTgCGDRvGjh07KCoqOux9OtbHxtf+cxzK+wSxQbzi1sdL/z4d69970vYFbW0pM0sASoAc59w/65XfC0xwzh3foH4EsAx4yDn3B3/ZfcAlzrmMw5yntvfmI+fcbYeLSWtLeUfIew20tpTuQSu4BxIYWluq7Qtmz00pUI3vEVN9vTi4Nwd8A4MHAS+a2Yv+snaAmVkVcJ5z7v2GB/l7eJYAAwIWuYiIiLQZQevLd85VAkuBMxvsOhPfW1MNlQCDgax6P78D1vo/N3YM5nt2NQTfQGURERE5xgR7balHgD+Y2afAx8BNQAK+pAUzmwXgnJvonNsPNJzTZitQ4ZxbUa/sXmARsAbfQ//b8CU3R3oDS0RERDwoqMmNc+41M+sO3IPvsdMKfI+X1vmrHHa+m0PoAjyH73HXLuBzfON6Pg1AyCIiItLGBH1VcOfc08DTh9g35gjH3gfc16DsR8CPAhOdiIiItHXH9vuzIiIi4jlKbkRERMRTlNyIiIiIpyi5EREREU9pVnJjZpea2Vn1tn9uZsVm9p6Z9Q58eCIiIiLN09yem/tqP5jZMOBnwONAe+A3gQtLRERE5Og091Xw4/AtVAnwXeAvzrlfm9n7wHsBjUxERETkKDS352YfvpW3Ac4APvB/3lWvXERERCRkmttz80/gN2a2AMgGLvGXDwQ2BDIwERERkaPR3J6b/wYq8SU1NznnNvrLz0WPpURERKQVaFbPjXOuGLiwkfLbAxaRiIiIyLfQ7HluzCzSzC4xszvNrIu/rL+ZdQt8eCIiIiLN06yeGzNLxTeIOBrfatxvAF8Dk/3b1wU6QBEREZHmaG7PzaPA+0AcUF6vfA5wWqCCEhERETlazX1b6iTgROdctZnVL18PJAQsKhEREZGjdDRrS7VvpKwvvrluREREREKqucnN+8CUetvOzGKBacBfAxaViIiIyFFq7mOpKcBHZlYARAKvAanAFuDSAMcmIiIi0mzNnedmo5llAROAYfh6fp4DXnHOlR/2YBEREZEgaG7PDf4k5gX/j4iIiEircsTkxsy+B/yfc26///MhOef+FLDIRERERI5CU3pu3gTiga3+z4figLBABCUiIiJytI6Y3Djn2jX2WURERKQ1alayYmY5ZnZQQmRmYWaWE7iwRERERI5Oc3tiPgIaWyCzi3+fiIiISEg1N7kxfGNrGuoOfPPtwxERERH5dpr0KriZzfF/dMDLZlZRb3cYkAF8EuDYRERERJqtqfPcbPf/NmAnB64IXgksAGYEMC4RERGRo9Kk5MY5dy2AmRUB/10+RswAABbTSURBVOuc0yMoERERaZWau/zCtJYKRERERCQQmjJD8RfAqc65nWb2LxofUAyAc25IIIMTERERaa6m9Ny8BdQOID7cDMUiIiIiIdeUGYqnNfZZREREpDXScgoiIiLiKU0Zc3PYcTb1acyNiIiIhFpTVwUXERERaROaNeZGREREpLXTmBsRERHxFM1zIyIiIp6ieW5ERETEUzTPjYiIiHhKs9aWqmVm/YET/JurnHNfBi4kERERkaPXrOTGzLoDvwfGATX/KbZ3gEnOue0Bjk9ERESkWZr7ttTzQCpwChDp/8kBUoAZgQ1NREREpPma+1jqbOAM59zCemUfm9mNwAeBC0tERETk6DS352Yb8E0j5XsBPZISERGRkGtucnM/8KiZ9akt8H/+jX+fiIiISEgdzcKZKUCRmZX4t/sA+4Be+MbkiIiIiISMFs4UERERT9HCmSIiIuIpWjhTREREPKVZyY2ZdTCzaWa22sz2mVl1/Z8mtnGzmRX6j19qZqccpu6pZvaJmW03s3Iz+7eZ/biRehebWb6ZVfh/f7c51yUiIiLe0dyem18AV+N7O6oG+B/gKXyvgd98pIPN7DLgMeCXwFDgE+BdM+t7iEP2AI/jmyhwEPAAMM3M6s5lZqOA14BXgCz/7zfMbGQzr01EREQ8oLnJzaXATc65Z4Fq4G3n3G3AvcCZTTh+CjDTOTfDObfKOXcrsAmY3Fhl59xS59yrzrmVzrlC59zLwHv4ZkiudTvwkXNuur/N6cA8f7mIiIgcY5qb3MQB+f7Pe4Au/s9zgbMOd6CZdQCGA+832PU+cFJTTm5mQ/1159crHtVIm+81tU0RERHxluYuv7AeSPD/XotvOYal+BKM8iMc2wMIA7Y0KN8CjD3cgWZWDPT0xzvNOfe7ervjD9Fm/CHaugG4ASAhIYF58+YB0K9fP2JiYsjLywOge/fupKenk5ubC0B4eDijR49m2bJl7N69G4Ds7Gy2bNnChg0bABgwYAARERGsWLECgF69ejFw4EAWLFgAQEREBKNGjWLJkiXs2bMHgJEjR1JcXExJiW/aoLS0NMLCwsjP9+WQ8fHxpKSksHChb8WLqKgoRo4cyeLFiykv9/3JR40aRWFhIZs3bwZg0KBBVFdXU1BQAECfPn1ITExk8eLFAERHR5Odnc3ChQupqKgAYPTo0axevZqtW7cCkJGRQUVFBWvWrAEgKSmJuLg4lixZAkBsbCzDhg1jwYIFVFVVAZCTk8PKlSvZvt03WXVmZiZlZWV89dVXACQnJ9OtWzeWLVsGQNeuXcnMzGT+/Pk45zAzTj31VPLy8ti5cycAw4YNY8eOHRQVFR32Ph3rY+Nr/zkO5X2C2CBecevjpX+fjvXvPWn7zDl35Fq1lc0eBPY456ab2SXAbKAY30R+Dzvn7j7MsQlACZDjnPtnvfJ7gQnOueMPc2wKEA2cCPwK+KFz7g/+fZXAD2q3/WVXA8865yIPdz3Z2dmu9stF2rbrHw3t+X/6zH0hPX//gtCeH3QPWsM9kMAws6XOuexQxyFHr1k9N865u+p9ftPfo3ISsNo5984RDi/FN06nYY9KLw7ueWl43kL/x3+ZWRxwH1CbzGw+mjZFRETEm75VX75zbpFz7pEmJDY45yrxPcJqOPD4THxvTTVVOyCi3vbCALQpIiIiHtHcMTeY2TB8byIN8hetAn7rnFvWhMMfAf5gZp8CHwM34RvD8zt/27MAnHMT/du3AoVAgf/4HODHwNP12nwMyDWzu4A/A98FTgNGN/faREREpO1rVnJjZlcCs4APgb/5i08EPjWza/yvah+Sc+41M+sO3AP0BlYA5znn1vmrNJzvJgzfGJtkoAr4Evgp/mTI3+YnZnY5/jlw/HUuc84tbs61iYiIiDc0t+dmOjDVOffL+oX+XpMHgMMmNwDOuac5sOel/r4xDbYfBY44TNE59yZa4FNERERo/pibnsDrjZS/gW8Qr4iIiEhINTe5+QgY00j5GA6cWE9EREQkJI74WMrMvldv813gQTPLBhb5y04Evofv9WwRERGRkGrKmJvGxrLUzfJbzxMcYiyNiIiISLAcMblxzh3b89qLiIhIm6LERURERDyl2cmNmZ1vZrlmVmpm28xsvpmd1xLBiYiIiDRXs5IbM7sO3yzAXwJ34ptQrxD4s5lNCnx4IiIiIs3T3En87gSmOOeerFf2ezNbii/ReSFgkYmIiIgcheY+luoLzG2k/F3guG8fjoiIiMi309zkZj0Hr8ANcBawrpFyERERkaBq7mOp/wWe8K8M/gng8K2+/X3g1gDHJiIiItJszUpunHPPmtlW4A58sxIDrAIudc69HejgRERERJqrycmNmYXje/yU65z7c8uFJCIiInL0mjzmxjlXBfwJiGm5cERERES+neYOKM4DUlsiEBEREZFAaG5ycx/wGzO7yMySzKxb/Z8WiE9ERESkWZr7ttRf/b//hO9NqVrm3w4LRFAiIiIiR6u5yc1pLRKFiIiISIA0Kbkxs47Aw8BFQHvgA+A251xpC8YmIiIi0mxNHXMzDbgG32Op2fhmKX6mhWISEREROWpNfSz1PeAHzrlXAczsFeBjMwtzzlW3WHQiIiIizdTUnpsk4J+1G865T4EqIKElghIRERE5Wk1NbsKAygZlVTR/QLKIiIhIi2pqcmLAy2ZWUa8sEphhZntrC5xz4wIZnIiIiEhzNTW5eamRspcDGYiIiIhIIDQpuXHOXdvSgYiIiIgEQnOXXxARERFp1ZTciIiIiKcouRERERFPUXIjIiIinqLkRkRERDxFyY2IiIh4ipIbERER8RQlNyIiIuIpSm5ERETEU5TciIiIiKcouRERERFPUXIjIiIinqLkRkRERDxFyY2IiIh4ipIbERER8RQlNyIiIuIpSm5ERETEU5TciIiIiKcouRERERFPUXIjIiIinqLkRkRERDxFyY2IiIh4ipIbERER8RQlNyIiIuIpQU9uzOxmMys0s31mttTMTjlM3d5m9kcz+7eZVZvZzEbqXGNmrpGfyBa9EBEREWmVgprcmNllwGPAL4GhwCfAu2bW9xCHRAClwEPA4sM0vRfoXf/HObcvUHGLiIhI2xHsnpspwEzn3Azn3Crn3K3AJmByY5Wdc0XOuducczOBHYdp1znnNtf/CXzoIiIi0hYELbkxsw7AcOD9BrveB076ls1Hmdk6Mys2s3fMbOi3bE9ERETaqPAgnqsHEAZsaVC+BRj7LdotACYBeUAM8EPgYzPLdM6taVjZzG4AbgBISEhg3rx5APTr14+YmBjy8vIA6N69O+np6eTm5gIQHh7O6NGjWbZsGbt37wYgOzubLVu2sGHDBgAGDBhAREQEK1asAKBXr14MHDiQBQsWABAREcGoUaNYsmQJe/bsAWDkyJEUFxdTUlICQFpaGmFhYeTn5wMQHx9PSkoKCxcuBCAqKoqRI0eyePFiysvLARg1ahSFhYVs3uzrsBo0aBDV1dUUFBQA0KdPHxITE1m82PdkLzo6muzsbBYuXEhFRQUAo0ePZvXq1WzduhWAjIwMKioqWLPG9ydMSkoiLi6OJUuWABAbG8uwYcNYsGABVVVVAOTk5LBy5Uq2b98OQGZmJmVlZXz11VcAJCcn061bN5YtWwZA165dyczMZP78+TjnMDNOPfVU8vLy2LlzJwDDhg1jx44dFBUVHfY+Hetj42v/OQ7lfYLYIF5x6+Olf5+O9e89afvMORecE5klACVAjnPun/XK7wUmOOeOP8Lx7wClzrlrjlAvDFgOfOScu+1wdbOzs13tl4u0bdc/Gtrz//SZ+0J6/v4FoT0/6B60hnsggWFmS51z2aGOQ45eMP93txSoBuIblPfi4N6co+acqwaWAAMC1aaIiIi0HUFLbpxzlcBS4MwGu87E99ZUQJiZAUPwDVQWERGRY0wwx9wAPAL8wcw+BT4GbgISgN8BmNksAOfcxNoDzCzL/zEWqPFvVzrn8v377wUWAWv8dW7Dl9w0+gaWiIiIeFtQkxvn3Gtm1h24B998NCuA85xz6/xVGpvv5vMG2xcC64Bk/3YX4Dl8j7t2+evnOOc+DWz0IiIi0hYEu+cG59zTwNOH2DemkTI7Qns/An4UkOBERESkzTu2358VERERz1FyIyIiIp6i5EZEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuRERExFOU3IiIiIinKLkRERERT1FyIyIiIp6i5EZEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuRERExFOU3IiIiIinKLkRERERT1FyIyIiIp6i5EZEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuRERExFOU3IiIiIinKLkRERERT1FyIyIiIp6i5EZEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuRERExFOU3IiIiIinKLkRERERT1FyIyIiIp6i5EZEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuRERExFOU3IiIiIinKLkRERERT1FyIyIiIp6i5EZEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuQuyBBx6gQ4cOtG/fnnPOOSfo5587dy5paWmkpqby0EMPBf38IhJ6+h4Sr1FyE0KVlZVMmzaN999/n507dzJ//nzmzJkTtPNXV1dzyy238O6775Kfn8/s2bPJz88P2vlFJPT0PSRepOQmhGbOnEnnzp0ZM2YM0dHR5OTk8NRTTwXt/J9++impqan069ePDh06cPnll/P2228H7fwiEnr6HhIvUnITQgUFBXTv3r1uOyUlhU2bNgXt/CUlJSQlJdVtJyYmUlJSErTzi0jo6XtIvEjJTQg551rd+c0sBJGISKjoe0i8SMlNCB1//PFs3769bruwsJDevXsH7fyJiYls2LChbru4uJiEhISgnV9EQk/fQ+JFQU9uzOxmMys0s31mttTMTjlC/VP99faZ2VdmdtO3bbO1mDhxIrt27SI3N5c9e/aQm5vLzTffHLTzjxgxgjVr1lBYWEhlZSWvvvoq48aNC9r5RST09D0kXhQezJOZ2WXAY8DNwAL/73fNbJBzbn0j9VOAvwEvAFcBo4GnzWybc+6to2mzNYmMjOSee+5h7NixOOcYM2YM48ePD9r5w8PDefLJJzn77LOprq5m0qRJpKenB+38IhJ6+h4SL7JgPm81s8XAF8656+uVrQHedM7d1Uj9XwHfc84NqFf2PJDunBt1NG3Wl52d7ZYsWfJtL0tagesfDe35f/rMfSE9f/+C0J4fdA9awz2QwDCzpc657FDHIUcvaMmNmXUA9gITnHNv1Ct/Cshwzp3ayDG5wL+cc7fUK/sv4I9AR8COos0bgBv8m2lAQQAuL9R6AKWhDuIYp3sQeroHoeeVe3Ccc65nqIOQoxfMx1I9gDBgS4PyLcDYQxwTD3zQSP1wf3vW3Dadc88BzzU56jbAzJbo/zJCS/cg9HQPQk/3QFqLULwt1bCryBopO1L9huXNbVNEREQ8Kpg9N6VANb7emPp6cXDPS63Nh6hfBWzHl8Q0t00RERHxsKD13DjnKoGlwJkNdp0JfHKIwxZy8OOlM4Elzrn9R9mmF3nqMVsbpXsQeroHoad7IK1CsN+Wugz4A77XtT8GbgJ+gO/tp3VmNgvAOTfRXz8FWAHMAJ4FTgaexjeA+K2mtBm0ixMREZFWIajz3DjnXjOz7sA9QG98ict59ZKQvg3qF5rZecBvgcnARuC22sSmiW2KiIjIMSSoPTciIiIiLU1rS4mIiIinKLkRERERT1FyIyJtmplZ/d8iIhpz00aZWSKQim+unxqgwDm3ObRRiYRebZLj9OUmcsxSctMGmdlkYBKQCXwDrAWK8c0L9LZzrsDM2jnnakIYpqeZWZRzrjzUcRzLzKwdMB7oiW+tuRJgvnNua0gDE5GQU3LTxvhfe18L/AZ4Bt8X+1jgNOB4fF/wtzvn8s3M9H+vgWdmXYE84K/Ay8AntX/n+n9zMzse2Oic2x2yYD3KzGKA3+P7574GX3LvgHJgPvCyc+7f+neg5ZhZeyAFWOecqwh1PCL1acxN23MFsNo594Bzbrtz7t/OuSedcxcDNwJRwDtm1kNf6i3mKiAOGA7kAmvN7H4zS6uX2CQBs/Et8CqBdxuQhm9OqzjgSuBRYCVwNvBrM+upfwda1C3A58DvzOxCM4s3s7D6Fcws1szO9SdCIkGj5KbtqQRizCwDwMwizKwDgHNuAb4v+X3AWaEL0fOGAC8CFwBDgdeBCUC+mS0ysxvwJUADnHNfhS5MTzsHeMk59xmAP8l/Gd9/cO8ATsA3c7m0nMuAT/GN/fsLvsfiD5vZaDPr7K9zBXCvc25/iGKUY5SSm7bnTXzd8LebWYxzrsI5V+kff4Bzbj3wNZAYyiC9yswigHxgg3Nuq3PuC+fcXUA2vh6DfOA+YDrwq5AF6mFmFo5vJvKLzaynvyzMzMKcc9XOuVx8y7AkmllmKGP1Kv/ffT8wwzl3CnAcvseEF+DrzfzQzO4EbgcWhyxQOWZpzE0bUu9V1/HAY0A3fL0GT+PrHk4EcvCNxRnsnCsKQZie509wujrnNvu74V39wdtmNgb4EOjrnCsOUZieZmYnAq/gS/Yfcc5tabA/CVgFpDnnSkIQoqeZWW/gciDfOfdeg31Dgev8+7sCSboHEmxKbtogM+uCbx2uk4Dv4ltQFGAzvt64Wc65+0ITnbfVDlA1s37AN/X/o1pv38+Ba5xz/UIXqXf5eynbAdcCv8S3Rt6bwGvABnyPDS8ETnDOjQhVnF5nZlH4Evt99ecYqjfubDq+MVFDQxWjHLuU3LQRZtYL+D6+8QSl+N4K+Rr4J75u3/ZAf+A9YI0GUgZevXswBdgKVAGbgDeAPznnvvF/yV+P7y2pd0IW7DHCn+hfg29sRxZQBlTgGwvyoHNOj0Ra0KHeRjOzjsAy4EXnnB7PStApuWkjzGwmkA78H7AD3yOpwcBAfP+hvUdf5C3rEPdgKL5X8IuBh51z74cswGOAmcUCZfX/g+rvyYkEooEMfD1q+nehhTR2DxqpE4lvwPFs51xl0IIT8VNy0wb4ewPK8HXx5tYr6wucCPwA6Adc6pxbFrJAPeww9yAJGImvt+Y4YILuQcsxs2fx9cp8im9+lYPmEDKzrs65nZrjpmU08R50cc59HfTgRPz0tlTbMAgoxPcaOOB7ru2cW+ecew3f+IKvgf8KUXzHgkPdg/XOuTfwvSVShu5BizGzCfiSyN8Ab+N77fh7ZpbqH/+BmUUDL5rZYCU2gXeIe/BdM+tf7x5EAS/VTlchEgrquWkD/F8W7+CbYn4i8GXDpRXM7FbgB865rBCE6Hm6B6FnZjOAauDXwPeAq/GNMysA/gb8A9/Efo855zqEKk4v0z2QtkI9N22Afw2ju/HNPjwLmGhmSWbWCeoG752Kb+4PaQG6B6Hln9umEPjaOfeVc+5/nXODgRH4llu4Gt+0CE+gyftahO6BtCXquWlD/N28U4Fx+BbMXAhsw7e21CbgOufcv0IXoffpHoSOf02vOP+aUR2A/Q0GFl+Gb8mLYc655aGK08t0D6StUHLTBvlfST4fuAjfUgsrgDecc/8OaWDHEN2D1sH/ppQ556rN7Hp8j0M6hjquY4nugbRGSm7aODNr13DshwSX7kHrYGZTgDDn3MOhjuVYpXsgrYWSGxHxBP/K09VKNENH90BaCyU3IiIi4il6W0pEREQ8RcmNiIiIeIqSGxEREfEUJTciIiLiKUpuRERExFOU3IiIiIin/D8Q4Sv9MQLyEQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.visualization import plot_histogram\n",
    "plot_histogram([standard_counts, optimized_counts], legend=['standard', 'optimized'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}