examples/getting_started/1_Running_quantum_circuits_on_simulators.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Preparing a GHZ state and running the circuit on simulators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This hello-world tutorial prepares a paradigmatic example for a multi-qubit entangled state, the so-called [GHZ state](https://en.wikipedia.org/wiki/Greenberger%E2%80%93Horne%E2%80%93Zeilinger_state) (named after the three physicists Greenberger, Horne and Zeilinger). The GHZ state is extremely non-classical, and therefore very sensitive to decoherence. Therefore, it is often used as a performance benchmark for today's hardware. Moreover, in many quantum information protocols it is used as a resource for quantum error correction, quantum communication and quantum metrology. \n",
    "\n",
    "Amazon Braket offers several classical simulators including a local simulator and two managed simulators: a full state-vector simulator SV1, and a tensor-network simulator TN1. As shown below, one can seamlessly swap between different devices without any modifications to the circuit definition, by just re-defining the device object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# general imports\n",
    "import matplotlib.pyplot as plt\n",
    "# magic word for producing visualizations in notebook\n",
    "%matplotlib inline\n",
    "import string\n",
    "import time\n",
    "import numpy as np\n",
    "\n",
    "# AWS imports: Import Braket SDK modules\n",
    "from braket.circuits import Circuit, Gate, Observable\n",
    "from braket.devices import LocalSimulator\n",
    "from braket.aws import AwsDevice"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem: Prepare a GHZ State"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Goal: Prepare an $N$-qubit GHZ state: \n",
    "$$\\left|0,0, ...\\right> \\rightarrow \\left|\\mathrm{GHZ}\\right> = \\frac{1}{\\sqrt{2}}\\left(\\left|0,0, ...\\right> + \\left|1,1, ...\\right>\\right).$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The GHZ state is a quantum superposition of all subsystems being in state 0 with all of them being in state 1 (as often discussed in the famous Gedanken experiment of a cat being dead and alive at the same time). The GHZ state is a maximally entangled quantum state. \n",
    "\n",
    "To prepare this state, build and run the following circuit using a single-qubit Hadamard gate (denoted as H) acting on the first qubit followed by a series of two-qubit CNOT gates: "
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:image-2.png\" width=\"300\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# function to build a GHZ state\n",
    "def ghz_circuit(n_qubits):\n",
    "    \"\"\"\n",
    "    function to return a GHZ circuit ansatz\n",
    "    input: number of qubits\n",
    "    \"\"\"\n",
    "\n",
    "    # instantiate circuit object\n",
    "    circuit = Circuit()\n",
    "    \n",
    "    # add Hadamard gate on first qubit\n",
    "    circuit.h(0)\n",
    "\n",
    "    # apply series of CNOT gates\n",
    "    for ii in range(0, n_qubits-1):\n",
    "        circuit.cnot(control=ii, target=ii+1)\n",
    "\n",
    "    return circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define circuit\n",
    "n_qubits = 10\n",
    "ghz = ghz_circuit(n_qubits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T  : |0|1|2|3|4|5|6|7|8|9|\n",
      "                          \n",
      "q0 : -H-C-----------------\n",
      "        |                 \n",
      "q1 : ---X-C---------------\n",
      "          |               \n",
      "q2 : -----X-C-------------\n",
      "            |             \n",
      "q3 : -------X-C-----------\n",
      "              |           \n",
      "q4 : ---------X-C---------\n",
      "                |         \n",
      "q5 : -----------X-C-------\n",
      "                  |       \n",
      "q6 : -------------X-C-----\n",
      "                    |     \n",
      "q7 : ---------------X-C---\n",
      "                      |   \n",
      "q8 : -----------------X-C-\n",
      "                        | \n",
      "q9 : -------------------X-\n",
      "\n",
      "T  : |0|1|2|3|4|5|6|7|8|9|\n"
     ]
    }
   ],
   "source": [
    "# print circuit\n",
    "print(ghz)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Local Simulator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, the circuit is run locally using the local simulator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up device: Local Simulator\n",
    "device = LocalSimulator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counter({'1111111111': 505, '0000000000': 495})\n"
     ]
    }
   ],
   "source": [
    "# run circuit\n",
    "result = device.run(ghz, shots=1000).result()\n",
    "# get measurement shots\n",
    "counts = result.measurement_counts\n",
    "# print counts\n",
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot using Counter\n",
    "plt.bar(counts.keys(), counts.values());\n",
    "plt.xlabel('bitstrings');\n",
    "plt.ylabel('counts');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As opposed to quantum hardware where only measurement shots can be obtained, with a classical simulator you can access the full state vector, amplitudes and expectation values of certain observables by assigning the corresponding result types. To do so, append the result types to the circuit before submitting it to run. This can be very useful for debugging. \n",
    "\n",
    "The example code below outputs the state vector, the expectation value of $Z\\otimes Z\\otimes Z$, and the amplitude of the $|111\\rangle$ state of a three-qubit GHZ state. \n",
    "\n",
    "To reiterate, the following output is expected:\n",
    "$$\\left|\\mathrm{GHZ}\\right> = \\frac{1}{\\sqrt{2}}\\left(\\left|0,0,0\\right> + \\left|1,1,1\\right>\\right) = \\left[\\frac{1}{\\sqrt{2}},0,0,0,0,0,0,\\frac{1}{\\sqrt{2}}\\right],$$\n",
    "\n",
    "for which $\\left<ZZZ\\right>=0$ and $\\left<111|\\mathrm{GHZ}\\right>=\\frac{1}{\\sqrt{2}}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T  : |0|1|2|   Result Types   |\n",
      "                               \n",
      "q0 : -H-C---Expectation(Z@Z@Z)-\n",
      "        |   |                  \n",
      "q1 : ---X-C-Expectation(Z@Z@Z)-\n",
      "          | |                  \n",
      "q2 : -----X-Expectation(Z@Z@Z)-\n",
      "\n",
      "T  : |0|1|2|   Result Types   |\n",
      "\n",
      "Additional result types: StateVector, Amplitude(111)\n"
     ]
    }
   ],
   "source": [
    "# define circuit\n",
    "n_qubits = 3\n",
    "ghz = ghz_circuit(n_qubits)      \n",
    "\n",
    "# add the state_vector ResultType\n",
    "ghz.state_vector()\n",
    "# add the Z \\otimes Z \\otimes Z expectation value\n",
    "ghz.expectation(Observable.Z() @ Observable.Z() @ Observable.Z(), target=[0,1,2])\n",
    "# add the amplitude for |111>\n",
    "ghz.amplitude(state=[\"111\"])\n",
    "# print circuit including requested result types\n",
    "print(ghz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Final EXACT state vector:\n",
      " [0.70710678+0.j 0.        +0.j 0.        +0.j 0.        +0.j\n",
      " 0.        +0.j 0.        +0.j 0.        +0.j 0.70710678+0.j]\n",
      "Expectation value <ZZZ>: 0.0\n",
      "Amplitude <111|Final state>: {'111': (0.7071067811865475+0j)}\n"
     ]
    }
   ],
   "source": [
    "# run the circuit and output the results\n",
    "task = device.run(ghz, shots=0)\n",
    "result = task.result()\n",
    "\n",
    "# print results\n",
    "print(\"Final EXACT state vector:\\n\", result.values[0])\n",
    "print(\"Expectation value <ZZZ>:\", np.round(result.values[1], 5))\n",
    "print(\"Amplitude <111|Final state>:\", result.values[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly the expected results with perfect correlations between the three qubits making up the GHZ state are obtained.\n",
    "\n",
    "Note that you can only request state vector and amplitude when shots = 0 for a classical simulator. When shots = 0 for a simulator, you get the exact values of probability, expectation values, and variance, as derived from the full wave function. When shots > 0, you cannot access the full state vector, but you can get approximate expectation values as taken from measurement samples. Note that Amazon Braket also supports probability, sample, expectation, and variance as result types for QPU devices."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Managed Simulators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apart from the local simulator, you can also run your circuit on a managed simulator. This approach adds some latency overhead, but is beneficial for larger circuits by leveraging the optimized cloud hardware infrastructure. Moreover, all your results will be stored reliably in S3. Here, as part of the API call with ```run()``` you need to supply a S3 location where the metadata and results associated with this circuit execution will be stored.\n",
    "\n",
    "Amazon Braket provides two managed simulators: SV1 and TN1. SV1 calculates and keeps track of the full state vector evolution, supporting simulations of circuits with up to 34 qubits. TN1 is a tensor-network simulator, where each gate in a circuit is represented as a tensor. Compared with SV1, TN1 can simulate a larger number of qubits for circuits with local gates or other special structure, but typically is slower for circuits with long-range or all-to-all gate structure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up the managed simulator SV1\n",
    "device = AwsDevice(\"arn:aws:braket:::device/quantum-simulator/amazon/sv1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counter({'111111111111111': 506, '000000000000000': 494})\n",
      "Counts for all-zero bitstring: 494\n",
      "Counts for all-one bitstring: 506\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define a 15-qubit GHZ circuit\n",
    "n_qubits = 15\n",
    "ghz = ghz_circuit(n_qubits)\n",
    "\n",
    "# run GHZ circuit on SV1\n",
    "result = device.run(ghz, shots=1000).result()\n",
    "counts = result.measurement_counts\n",
    "print(counts)\n",
    "\n",
    "# plot using Counter\n",
    "plt.bar(counts.keys(), counts.values());\n",
    "plt.xlabel('bitstrings');\n",
    "plt.ylabel('counts');  \n",
    "\n",
    "# print counts of all-zero-string\n",
    "print('Counts for all-zero bitstring:', counts['0'*n_qubits])\n",
    "# print counts of all-one-string\n",
    "print('Counts for all-one bitstring:', counts['1'*n_qubits])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following example demonstrates that TN1 can easily simulate GHZ circuits with up to 50 qubits due to the sparse, nearest neighbor gate structure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up the managed simulator TN1\n",
    "device = AwsDevice(\"arn:aws:braket:::device/quantum-simulator/amazon/tn1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counter({'00000000000000000000000000000000000000000000000000': 510, '11111111111111111111111111111111111111111111111111': 490})\n",
      "Counts for all-zero bitstring: 510\n",
      "Counts for all-one bitstring: 490\n"
     ]
    }
   ],
   "source": [
    "# define a larger GHZ circuit\n",
    "n_qubits = 50\n",
    "ghz = ghz_circuit(n_qubits)\n",
    "\n",
    "# run the same circuit on TN1\n",
    "result = device.run(ghz, shots=1000).result()\n",
    "counts = result.measurement_counts\n",
    "print(counts)\n",
    "\n",
    "# print counts of all-zero-string\n",
    "print('Counts for all-zero bitstring:', counts['0'*n_qubits])\n",
    "# print counts of all-one-string\n",
    "print('Counts for all-one bitstring:', counts['1'*n_qubits])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__NOTE__: Use unique task ID to look up task details in AWS console."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of qubits: 50\n"
     ]
    }
   ],
   "source": [
    "# print unique TASK ID (task = execution of individual circuit)\n",
    "task_id = result.task_metadata.id\n",
    "# recover other metadata information such as number of qubits\n",
    "n = result.task_metadata.deviceParameters.paradigmParameters.qubitCount\n",
    "# print('Task ID:', task_id)\n",
    "print('Number of qubits:', n)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "conda_braket",
   "language": "python",
   "name": "conda_braket"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}