CH4_2Qubit_Ham_Dyn.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": [],
   "source": [
    "#provider = q.IBMQ.get_provider(group='qiskit-terra', project='pulse-testing')\n",
    "#backend = provider.get_backend('alt_almaden')\n",
    "from qiskit.test.mock import FakeAlmaden\n",
    "backend = FakeAlmaden()\n",
    "defaults = backend.defaults()\n",
    "circ_inst_map = defaults.circuit_instruction_map\n",
    "measure = circ_inst_map.get('measure', qubits=backend.configuration().meas_map[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = np.pi / 2\n",
    "phi = theta * 0.8752795188418716 / 1.8095454182113748\n",
    "num_trotter_steps = 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "circuit = q.QuantumCircuit(2)\n",
    "circuit.h(0); circuit.h(1);\n",
    "for _ in range(num_trotter_steps):\n",
    "    circuit.rz(theta, 0); circuit.rz(phi, 1);\n",
    "    circuit.cx(0, 1); circuit.rz(theta, 1); circuit.cx(0, 1)  # ZZ Interaction\n",
    "circuit.h(0); circuit.h(1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "schedules = []\n",
    "\n",
    "transpiled_circuit = q.transpile(circuit, backend, optimization_level=1)\n",
    "schedule = q.schedule(transpiled_circuit, backend=backend, inst_map=circ_inst_map)\n",
    "schedule |= measure << schedule.duration\n",
    "schedules.append(schedule)\n",
    "\n",
    "qiskit.PULSE_BACKED_OPTIMIZATION = True\n",
    "from qiskit.transpiler import PassManager\n",
    "from qiskit.transpiler.passes import CommutationAnalysis, CommutativeCancellation, MatchZZInteraction\n",
    "pm = PassManager()\n",
    "pm.append([CommutationAnalysis(), MatchZZInteraction()])\n",
    "matched_circuit = pm.run(circuit)\n",
    "decomposed_circuit = matched_circuit.decompose()\n",
    "pulse_compiler_helper_fns.update_basis_gates_and_circ_inst_map(decomposed_circuit, backend, circ_inst_map)\n",
    "transpiled_circuit = q.transpile(decomposed_circuit, backend, optimization_level=1)\n",
    "schedule = q.schedule(transpiled_circuit, backend=backend, inst_map=circ_inst_map)\n",
    "schedule |= measure << schedule.duration\n",
    "schedules.append(schedule)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x864 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[0].draw(channels=[\n",
    "    backend.configuration().drive(0), backend.configuration().drive(1), backend.configuration().control(0)],\n",
    "                 table=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x864 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[1].draw(channels=[\n",
    "    backend.configuration().drive(0), backend.configuration().drive(1), backend.configuration().control(0)],\n",
    "                 table=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "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": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Run a mitigation cal job"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "job_mit = q.execute(meas_schedules, backend, shots=shots)\n",
    "print('job_mit is %s' % job_mit.job_id())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "job_mit.status()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "## Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.result import marginal_counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = job.result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "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": null,
   "metadata": {},
   "outputs": [],
   "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": null,
   "metadata": {},
   "outputs": [],
   "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": null,
   "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": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "standard_counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimized_counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "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": [
    "ideal_counts = {'00': .576492*4000, '10': .423507*4000}  # https://algassert.com/quirk#circuit=%7B%22cols%22%3A%5B%5B%22H%22%2C%22H%22%5D%2C%5B%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%220.75980%22%7D%5D%2C%5B%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%220.75980%22%7D%5D%2C%5B%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%220.75980%22%7D%5D%2C%5B%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%220.75980%22%7D%5D%2C%5B%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%220.75980%22%7D%5D%2C%5B%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%220.75980%22%7D%5D%2C%5B%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B1%2C%7B%22id%22%3A%22Rzft%22%2C%22arg%22%3A%22pi%2F2%22%7D%5D%2C%5B%22%E2%80%A2%22%2C%22X%22%5D%2C%5B%22H%22%2C%22H%22%5D%5D%7D\n",
    "# standard_counts =\n",
    "# optimized_counts = {'00': 3.2117147307346117e-09, '01': 4201.575210406215, '10': 3798.4247895903336, '11': 2.401224165590816e-10}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(pulse_compiler_helper_fns.kl_divergence(ideal_counts, standard_counts))\n",
    "print(pulse_compiler_helper_fns.kl_divergence(ideal_counts, optimized_counts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(pulse_compiler_helper_fns.cross_entropy(ideal_counts, standard_counts))\n",
    "print(pulse_compiler_helper_fns.cross_entropy(ideal_counts, optimized_counts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.quantum_info import hellinger_fidelity\n",
    "print(hellinger_fidelity(ideal_counts, standard_counts))\n",
    "print(hellinger_fidelity(ideal_counts, optimized_counts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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