{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f1c7ce88",
   "metadata": {},
   "source": [
    "# IBM Optimizations using Qiskit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "varied-shame",
   "metadata": {},
   "source": [
    "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/Infleqtion/client-superstaq/blob/main/docs/source/optimizations/ibm/ibmq_compile_qss.ipynb) [![Launch Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/Infleqtion/client-superstaq/HEAD?labpath=docs/source/optimizations/ibm/ibmq_compile_qss.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8c25005",
   "metadata": {},
   "source": [
    "Below is a brief tutorial on Superstaq optimizations for IBM Quantum superconducting qubit devices. For more information on IBM Quantum, visit their website [here](https://www.ibm.com/quantum)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9a7d9b5",
   "metadata": {},
   "source": [
    "## Imports and API Token\n",
    "\n",
    "This example tutorial notebook uses `qiskit-superstaq`, our Superstaq client for Qiskit; you can try it out by running `pip install qiskit-superstaq[examples]`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4316dd2c-bad2-42f6-ab39-383a1ba6a6d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    import qiskit\n",
    "    import qiskit_superstaq as qss\n",
    "except ImportError:\n",
    "    print(\"Installing qiskit-superstaq...\")\n",
    "    %pip install --quiet 'qiskit-superstaq[examples]'\n",
    "    print(\"Installed qiskit-superstaq.\")\n",
    "    print(\"You may need to restart the kernel to import newly installed packages.\")\n",
    "    import qiskit\n",
    "    import qiskit_superstaq as qss\n",
    "\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b4d8cf9",
   "metadata": {},
   "source": [
    "To interface Superstaq via Qiskit, we must first instantiate a provider in `qiskit-superstaq` with `SuperstaqProvider()`. We then supply a Superstaq API token (or key) by either providing the API token as an argument of `qss.SuperstaqProvider()` or by setting it as an environment variable (see more details [here](https://superstaq.readthedocs.io/en/latest/get_started/basics/basics_qss.html#Set-up-access-to-Superstaq%E2%80%99s-API))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8d8d329d-5c52-44bd-9e35-3052268a4530",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Provide your Superstaq API key using the \"api_key\" argument\n",
    "provider = qss.SuperstaqProvider()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4828ee8",
   "metadata": {},
   "source": [
    "## Single Circuit Compilation\n",
    "\n",
    "Let us start by creating an example Qiskit circuit that we will then compile and optimize for the 127-qubit IBM Quantum `brisbane` processor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1e68dcda-f84a-4b93-aea0-f64c1a5108f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 663.998x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a two-qubit qiskit circuit\n",
    "rng = np.random.default_rng()\n",
    "theta = rng.uniform(0, 4 * np.pi)\n",
    "circuit = qiskit.QuantumCircuit(2)\n",
    "circuit.cx(0, 1)\n",
    "circuit.rz(theta, 1)\n",
    "circuit.cx(0, 1)\n",
    "circuit.measure_all()\n",
    "\n",
    "# Draw circuit for visualization\n",
    "circuit.draw(output=\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2116e292",
   "metadata": {},
   "source": [
    "We will now compile the above circuit to IBM's `brisbane` processor and visualize the differences by drawing the compiled circuit. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "135bc08f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1123.61x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Compile with ibmq compile\n",
    "compiler_output = provider.ibmq_compile(circuit, target=\"ibmq_brisbane_qpu\")\n",
    "\n",
    "# Call circuit from the compiler output to get the corresponding output circuit\n",
    "output_circuit = compiler_output.circuit\n",
    "\n",
    "# Visualize the compiled circuit\n",
    "output_circuit.draw(\"mpl\", idle_wires=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa165427",
   "metadata": {},
   "source": [
    "The resulting output is now a circuit compiled to `brisbane`'s native operations. With Superstaq compilation, you can also observe the gates and gate times for the compiled circuit using Qiskit’s timeline drawer (see [Qiskit Timeline Visualizations Documentation](https://docs.quantum.ibm.com/api/qiskit/qiskit.visualization.timeline_drawer)). \n",
    "\n",
    "Additionally, to ensure that the drawer has all the information on the instruction durations, we must also provide the `qiskit.transpiler.Target` of the corresponding backend the timeline is being generated for. It can be retrieved like so: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "12e7cd22",
   "metadata": {},
   "outputs": [],
   "source": [
    "backend_target = provider.get_backend(\"ibmq_brisbane_qpu\").target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3ca9f750",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 3000x300 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The pulse gate circuit is obtained via the `pulse_gate_circuit` attribute\n",
    "pulse_circuit = compiler_output.pulse_gate_circuit\n",
    "\n",
    "custom_style = {\"formatter.general.fig_width\": 30, \"formatter.general.fig_unit_height\": 1}\n",
    "style = qiskit.visualization.timeline.IQXStandard(**custom_style)\n",
    "\n",
    "qiskit.visualization.timeline_drawer(\n",
    "    pulse_circuit, idle_wires=False, style=style, target=backend_target\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30c3a395",
   "metadata": {},
   "source": [
    "## Multiple Circuits Compilation\n",
    "\n",
    "All the functionalities we have seen so far can also be used on a multiple-circuit input as well. To illustrate this, let us create a different example two-qubit circuit: a Bell-state circuit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1520302f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 580.387x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create second circuit\n",
    "bell_circuit = qiskit.QuantumCircuit(2)\n",
    "bell_circuit.h(0)\n",
    "bell_circuit.cx(0, 1)\n",
    "bell_circuit.measure_all()\n",
    "\n",
    "# Draw second circuit for visualization\n",
    "bell_circuit.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c055c11",
   "metadata": {},
   "source": [
    "By passing multiple circuits as a list to the `ibmq_compile` endpoint, we can compile all of them individually with a single call to the endpoint. This will return all the corresponding compiled circuits and pulse gate circuits back as a list, like so:  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9fa01c3e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create list of circuits\n",
    "circuit_list = [circuit, bell_circuit]\n",
    "\n",
    "# Compile list of circuits\n",
    "compiler_output_list = provider.ibmq_compile(circuit_list, \"ibmq_brisbane_qpu\")\n",
    "\n",
    "# The list of compiled output circuits is stored in the `circuits` attribute instead of `circuit`. Likewise for\n",
    "# pulse sequences.\n",
    "output_circuits = compiler_output_list.circuits\n",
    "pulse_gate_circuits = compiler_output_list.pulse_gate_circuits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "736f6d27",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compiled circuit 1 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1123.61x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the first compiled circuit\n",
    "print(\"Compiled circuit 1 \\n\")\n",
    "output_circuits[0].draw(\"mpl\", idle_wires=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4f3c6525",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 3000x300 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the pulse gate circuit for the first compiled circuit\n",
    "qiskit.visualization.timeline_drawer(\n",
    "    pulse_gate_circuits[0], idle_wires=False, style=style, target=backend_target\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "714c2859",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compiled circuit 2 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 872.774x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the second compiled circuit\n",
    "print(\"Compiled circuit 2 \\n\")\n",
    "output_circuits[1].draw(\"mpl\", idle_wires=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "91121471",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 3000x300 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the pulse gate circuit for the first compiled circuit\n",
    "qiskit.visualization.timeline_drawer(\n",
    "    pulse_gate_circuits[1], idle_wires=False, style=style, target=backend_target\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "490036bb",
   "metadata": {},
   "source": [
    "## Using the Superstaq Simulator\n",
    "\n",
    "Lastly, we will show (a) how to execute a circuit on a backend and (b) how to simulate circuit execution. Simulation is available to free trial users, and can be done by passing the `\"dry-run\"` method parameter when calling `run()` on the Superstaq provider."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "331aec28",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'11': 495, '00': 505}\n"
     ]
    }
   ],
   "source": [
    "# Get IBM Quantum backend from provider\n",
    "backend = provider.get_backend(\"ibmq_brisbane_qpu\")\n",
    "job = backend.run(\n",
    "    bell_circuit,\n",
    "    shots=1000,\n",
    "    method=\"dry-run\",  # Specify \"dry-run\" as the method to run Superstaq simulation\n",
    ")\n",
    "\n",
    "# Get the counts from the measurement\n",
    "print(job.result().get_counts())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "324f3dd0",
   "metadata": {},
   "source": [
    "### Addendum: Compiling via Superstaq backend\n",
    "You can also compile circuits via the `compile` method of the backend directly. This is identical to calling `ibmq_compile` on the provider, but more closely matches Qiskit syntax."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b45ebadf",
   "metadata": {},
   "outputs": [],
   "source": [
    "compiler_output = backend.compile(bell_circuit)\n",
    "output_circuit = compiler_output.circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9eb7512b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 872.774x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the compiled circuit\n",
    "output_circuit.draw(\"mpl\", idle_wires=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d94c141c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 3000x300 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Visualize the pulse gate circuit\n",
    "qiskit.visualization.timeline_drawer(\n",
    "    compiler_output.pulse_gate_circuit, idle_wires=False, style=style, target=backend.target\n",
    ")"
   ]
  }
 ],
 "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": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}