16-qubits-ghz-circuit-knitting.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "28d751f6-db0a-4915-b1c7-a65639123a90",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\", category=DeprecationWarning) \n",
    "\n",
    "from qiskit import QuantumCircuit\n",
    "from qiskit.quantum_info import Statevector\n",
    "from qiskit.visualization import plot_histogram, plot_distribution\n",
    "from qiskit.result import ProbDistribution\n",
    "from circuit_knitting.cutting.cutqc import reconstruct_full_distribution, cut_circuit_wires, evaluate_subcircuits\n",
    "from backend import fake_backend_guadalupe, transpiler_fake_backend_guadalupe, sampler_fake_backend_guadalupe\n",
    "from utils import save_cuts, save_probs, save_reconstructed_probs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4dbefa03",
   "metadata": {},
   "outputs": [],
   "source": [
    "FILE_PREFIX = \"16-qubits-GHZ\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a93414a3-1f4f-494c-9f25-f48ed17ceb8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<PIL.PngImagePlugin.PngImageFile image mode=RGB size=617x680>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fake_backend_guadalupe.coupling_map.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3c197e23-db40-4b52-a0a2-6fb8d5c0347c",
   "metadata": {},
   "outputs": [],
   "source": [
    "starting_node = 0\n",
    "couplings = [\n",
    "    (0, 1),\n",
    "    (1, 4),\n",
    "    (1, 2),\n",
    "    (2, 3),\n",
    "    (3, 5),\n",
    "    (5, 8),\n",
    "    (8, 9),\n",
    "    (8, 11),\n",
    "    (11, 14),\n",
    "    (14, 13),\n",
    "    (13, 12),\n",
    "    (12, 15),\n",
    "    (12, 10),\n",
    "    (10, 7),\n",
    "    (7, 6)\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9850a45d-ac91-483c-b43a-373fbde5a05d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1476.28x1371.22 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_qubits = fake_backend_guadalupe.num_qubits\n",
    "qc = QuantumCircuit(n_qubits)\n",
    "qc.h(starting_node)\n",
    "for i,j in couplings:\n",
    "    qc.cx(i,j)\n",
    "qc.draw('mpl', filename=f\"{FILE_PREFIX}-circuit.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "de65eac5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{\\sqrt{2}}{2} |0000000000000000\\rangle+\\frac{\\sqrt{2}}{2} |1111111111111111\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Statevector(qc).draw('latex')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "69d8d1ae-e521-40a0-b569-6606b16885dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "qc depth: 17\n",
      "transpiled qc depth: 19\n"
     ]
    }
   ],
   "source": [
    "qc_c = qc.copy()\n",
    "qc_c.measure_all()\n",
    "transpiled_qc = transpiler_fake_backend_guadalupe.run(qc_c)\n",
    "print(f'qc depth: {qc_c.depth()}')\n",
    "print(f'transpiled qc depth: {transpiled_qc.depth()}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bf3c92ea-6bac-435b-b3e1-a651572de9b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2299.7x2959.83 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transpiled_qc.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c2d90a4a",
   "metadata": {},
   "outputs": [],
   "source": [
    "results = sampler_fake_backend_guadalupe.run([transpiled_qc])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a688b00a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "counts = results.result()[0].data.meas.get_counts()\n",
    "fig = plot_histogram(counts)\n",
    "fig.savefig(f\"{FILE_PREFIX}-counts.png\", bbox_inches='tight')\n",
    "display(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d77f5672",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "cac74a42-1bb5-4db5-9dfe-00e0d353f9c7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--------------------\n",
      "num_cuts = 2\n",
      "subcircuit 0\n",
      "ρ qubits = 0, O qubits = 1, width = 6, effective = 5, depth = 6, size = 6\n",
      "     ┌───┐                         \n",
      "q_0: ┤ H ├──■──────────────────────\n",
      "     └───┘┌─┴─┐                    \n",
      "q_1: ─────┤ X ├──■────■────────────\n",
      "          └───┘  │  ┌─┴─┐          \n",
      "q_2: ────────────┼──┤ X ├──■───────\n",
      "                 │  └───┘┌─┴─┐     \n",
      "q_3: ────────────┼───────┤ X ├──■──\n",
      "               ┌─┴─┐     └───┘  │  \n",
      "q_4: ──────────┤ X ├────────────┼──\n",
      "               └───┘          ┌─┴─┐\n",
      "q_5: ─────────────────────────┤ X ├\n",
      "                              └───┘\n",
      "subcircuit 1\n",
      "ρ qubits = 1, O qubits = 1, width = 6, effective = 5, depth = 5, size = 5\n",
      "                              \n",
      "q_0: ──■──────────────────────\n",
      "     ┌─┴─┐                    \n",
      "q_1: ┤ X ├──■────■────────────\n",
      "     └───┘┌─┴─┐  │            \n",
      "q_2: ─────┤ X ├──┼────────────\n",
      "          └───┘┌─┴─┐          \n",
      "q_3: ──────────┤ X ├──■───────\n",
      "               └───┘  │  ┌───┐\n",
      "q_4: ─────────────────┼──┤ X ├\n",
      "                    ┌─┴─┐└─┬─┘\n",
      "q_5: ───────────────┤ X ├──■──\n",
      "                    └───┘     \n",
      "subcircuit 2\n",
      "ρ qubits = 1, O qubits = 0, width = 6, effective = 6, depth = 5, size = 5\n",
      "                         ┌───┐\n",
      "q_0: ────────────────────┤ X ├\n",
      "                    ┌───┐└─┬─┘\n",
      "q_1: ───────────────┤ X ├──■──\n",
      "               ┌───┐└─┬─┘     \n",
      "q_2: ──────────┤ X ├──■───────\n",
      "     ┌───┐     └─┬─┘          \n",
      "q_3: ┤ X ├──■────■────────────\n",
      "     └─┬─┘  │                 \n",
      "q_4: ──■────┼─────────────────\n",
      "          ┌─┴─┐               \n",
      "q_5: ─────┤ X ├───────────────\n",
      "          └───┘               \n",
      "Estimated cost = 1.065e+06\n",
      "--------------------\n",
      "Saving cuts as JSON...\n"
     ]
    }
   ],
   "source": [
    "cuts = cut_circuit_wires(\n",
    "    circuit=qc,\n",
    "    method=\"manual\",\n",
    "    subcircuit_vertices=[list(range(5)), list(range(5,10)), list(range(10, 15))]\n",
    ")\n",
    "save_cuts(cuts, FILE_PREFIX)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "44285ce5-3ada-45c9-923f-5d004c2c4589",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving probabilities as JSON...\n"
     ]
    }
   ],
   "source": [
    "subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n",
    "save_probs(subcircuit_instance_probabilities,FILE_PREFIX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e4677ff1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving reconstructed probabilities as JSON...\n"
     ]
    }
   ],
   "source": [
    "reconstructed_probabilities = reconstruct_full_distribution(\n",
    "    qc, subcircuit_instance_probabilities, cuts\n",
    ")\n",
    "save_reconstructed_probs(reconstructed_probabilities, FILE_PREFIX)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7bdfdb15",
   "metadata": {},
   "outputs": [],
   "source": [
    "reconstructed_distribution = {\n",
    "    i: prob for i, prob in enumerate(reconstructed_probabilities)\n",
    "}\n",
    "\n",
    "reconstructed_dict_bitstring = ProbDistribution(\n",
    "    data=reconstructed_distribution\n",
    ").binary_probabilities(num_bits=n_qubits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "65eae873",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'0000000000000000': 0.4999999999999999,\n",
       " '1111111111111111': 0.4999999999999999}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# cut zeros\n",
    "final_dist = {}\n",
    "for k,v in reconstructed_dict_bitstring.items():\n",
    "    if(v != 0):\n",
    "        final_dist[k] = v\n",
    "final_dist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5845c07b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_distribution(final_dist)\n",
    "fig.savefig(f\"{FILE_PREFIX}-circuit-cutting.png\", bbox_inches='tight')\n",
    "display(fig)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}