QNSPSA for Optimization.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scalable natural gradients for optimization problems"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "QNSPSA is an optimizer implemented in Qiskit and we can use it as input with any exisiting algorithm, such as `QAOA` or `VQE`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.algorithms.optimizers import QNSPSA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hamiltonian and reference solution\n",
    "\n",
    "We're looking for the ground state of the following diagonal Hamiltonian on 5 qubits:\n",
    "\n",
    "$$\n",
    "\\hat H = \\hat\\sigma_Z^{(1)} \\otimes \\hat\\sigma_Z^{(2)} + \\hat\\sigma_Z^{(4)} \\otimes \\hat\\sigma_Z^{(5)}\n",
    "$$\n",
    "\n",
    "or in Qiskit notation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.opflow import Z, I\n",
    "\n",
    "H = (Z ^ Z ^ I ^ I ^ I) + (I ^ I ^ I ^ Z ^ Z)  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Which has a ground state energy of"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2.0\n"
     ]
    }
   ],
   "source": [
    "from qiskit.algorithms import NumPyMinimumEigensolver\n",
    "\n",
    "exact_result = NumPyMinimumEigensolver().compute_minimum_eigenvalue(H)\n",
    "exact_energy = exact_result.eigenvalue.real\n",
    "print(exact_energy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### QN-SPSA on a simulator "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To begin, we'll just use a statevector simulator but we can replace it with a real device later on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.providers.aer import AerSimulator\n",
    "from qiskit.opflow import AerPauliExpectation\n",
    "\n",
    "sim = AerSimulator()  # simulator for the circuits\n",
    "exp = AerPauliExpectation()  # expectation value evaluator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can use Qiskit's circuit library to obtain the QAOA ansatz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.circuit.library import QAOAAnsatz\n",
    "\n",
    "ansatz = QAOAAnsatz(H, reps=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and based on the ansatz we can define the QN-SPSA optimizer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "fidelity = QNSPSA.get_fidelity(ansatz, backend=sim, expectation=exp)\n",
    "\n",
    "qnspsa = QNSPSA(fidelity, maxiter=300, learning_rate=0.01, perturbation=0.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plug it into the `VQE` to find the ground state:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from qiskit.algorithms import VQE\n",
    "\n",
    "# use a callback to store the energy in each evaluation\n",
    "loss = []\n",
    "def store_history(nfevs, params, energy, std):\n",
    "    loss.append(energy)\n",
    "\n",
    "initial_point = np.zeros(ansatz.num_parameters)\n",
    "vqe = VQE(\n",
    "    ansatz,  \n",
    "    optimizer=qnspsa,  # just works like any other optimizer we have in Qiskit!\n",
    "    initial_point=initial_point, \n",
    "    callback=store_history, \n",
    "    quantum_instance=sim\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = vqe.compute_minimum_eigenvalue(H)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f9eb8909fa0>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "matplotlib.rcParams[\"font.size\"] = 16\n",
    "\n",
    "# QNSPSA evaluates twice for the gradients, then once for the current value --> we plot that one\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(loss[::3], label=\"QNSPSA energy\")  \n",
    "plt.axhline(y=exact_energy, color=\"tab:red\", ls=\"--\", label=\"exact\")\n",
    "plt.xlabel(\"nfevs\")\n",
    "plt.ylabel(\"energy\")\n",
    "plt.legend(loc=\"best\")"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### QN-SPSA with Qiskit Optimization & Qiskit Runtime\n",
    "\n",
    "Now let's solve the same problem but on Qiskit Runtime and using the workflow of Qiskit's optimization module.\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Simulator on the cloud"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we have to select a provider and a backend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from qiskit.providers.ibmq import IBMQ\n",
    "\n",
    "# load account and get backend\n",
    "IBMQ.load_account()\n",
    "provider = IBMQ.get_provider(hub='ibm-q', group='open', project='main')\n",
    "backend = provider.get_backend('ibmq_qasm_simulator')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we can define the optimizer and the minimum eigensolver subroutine (of type `qiskit.algorithms.MinimumEigensolver`) to find the ground state. Here we'll use the QAOA runtime client to execute the program on the cloud."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit_optimization.algorithms import MinimumEigenOptimizer\n",
    "from qiskit_optimization.runtime import QAOAProgram\n",
    "\n",
    "# Note that we don't have to set the `fidelity` function, this is set by the runtime program!\n",
    "optimizer = QNSPSA(None,  # will be set by runtime\n",
    "                   maxiter=300,\n",
    "                   learning_rate=0.01,\n",
    "                   perturbation=0.01)\n",
    "\n",
    "# define the QAOA program executed on the cloud\n",
    "qaoa = QAOAProgram(optimizer=optimizer,\n",
    "                   provider=provider,\n",
    "                   backend=backend,\n",
    "                   shots=1024,\n",
    "                   measurement_error_mitigation=True,\n",
    "                   store_intermediate=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we can plug the optimizer in the Qiskit Optimization workflow..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit_optimization import QuadraticProgram\n",
    "from qiskit_optimization.algorithms import MinimumEigenOptimizer\n",
    "\n",
    "qp = QuadraticProgram()\n",
    "qp.from_ising(H)\n",
    "\n",
    "algo = MinimumEigenOptimizer(qaoa)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "... and solve the problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = algo.solve(qp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "optimal function value: -2.0\n",
      "optimal value: [1. 0. 0. 1. 0.]\n",
      "status: SUCCESS\n"
     ]
    }
   ],
   "source": [
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Real device: IBM Nairobi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ibmqfactory.load_account:WARNING:2021-12-01 11:05:38,634: Credentials are already in use. The existing account in the session will be replaced.\n"
     ]
    }
   ],
   "source": [
    "from qiskit.providers.ibmq import IBMQ\n",
    "\n",
    "# load account and get backend\n",
    "IBMQ.load_account()\n",
    "provider = IBMQ.get_provider(project='qiskit-runtime')\n",
    "backend = provider.get_backend('ibm_nairobi')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define the QAOA program executed on the cloud\n",
    "qaoa = QAOAProgram(optimizer=optimizer,\n",
    "                   provider=provider,\n",
    "                   backend=backend,\n",
    "                   shots=1024,\n",
    "                   measurement_error_mitigation=True,\n",
    "                   store_intermediate=True)\n",
    "\n",
    "algo = MinimumEigenOptimizer(qaoa)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "result_nairobi = algo.solve(qp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "history_nairobi = result_nairobi.min_eigen_solver_result.optimizer_history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f9eaa4b2f70>"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "matplotlib.rcParams[\"font.size\"] = 16\n",
    "\n",
    "# QNSPSA evaluates twice for the gradients, then once for the current value --> we plot that one\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(history_nairobi[\"loss\"], label=\"QNSPSA energy\")  \n",
    "plt.axhline(y=exact_energy, color=\"tab:red\", ls=\"--\", label=\"exact\")\n",
    "plt.xlabel(\"nfevs\")\n",
    "plt.ylabel(\"energy\")\n",
    "plt.legend(loc=\"best\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "job_id = \"c6jki5egkavn0ge0ic1g\"\n",
    "job = provider.runtime.job(job_id)\n",
    "job_result = job.result()\n",
    "\n",
    "print(job_result[\"eigenvalue\"])\n",
    "loss = job_result[\"optimizer_history\"][\"loss\"]"
   ]
  }
 ],
 "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}