Ossorio-simulators-and-measurement.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit import Aer, transpile\n",
    "from qiskit.tools.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[AerSimulator('aer_simulator'),\n",
       " AerSimulator('aer_simulator_statevector'),\n",
       " AerSimulator('aer_simulator_density_matrix'),\n",
       " AerSimulator('aer_simulator_stabilizer'),\n",
       " AerSimulator('aer_simulator_matrix_product_state'),\n",
       " AerSimulator('aer_simulator_extended_stabilizer'),\n",
       " AerSimulator('aer_simulator_unitary'),\n",
       " AerSimulator('aer_simulator_superop'),\n",
       " QasmSimulator('qasm_simulator'),\n",
       " StatevectorSimulator('statevector_simulator'),\n",
       " UnitarySimulator('unitary_simulator'),\n",
       " PulseSimulator('pulse_simulator')]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aer.backends()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using Statevector Simulator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "simulator = Aer.get_backend('statevector_simulator')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### GHZ State"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x2887c192130>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a Quantum Circuit acting on a quantum register of three qubits\n",
    "circ = QuantumCircuit(3)\n",
    "# Add a H gate on qubit 0, putting this qubit in superposition.\n",
    "circ.h(0)\n",
    "# Add a CX (CNOT) gate on control qubit 0 and target qubit 1\n",
    "circ.cx(0, 1)\n",
    "# Add a CX (CNOT) gate on control qubit 0 and target qubit 2, putting\n",
    "# the qubits in a GHZ state.\n",
    "circ.cx(0, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wEYMUMBGDFDARgxQwEYMUMBGDFDARgxQwEYMUMBGDFDARgxQwEYMUMBGDFDARgxQwEYMUMBGDFDARgxQwEYMUMBGDFDARgxQwEYP+H5f6ApoLA4oiAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 267.197x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circ.draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a Quantum Program for execution\n",
    "result = simulator.run(circ).result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'000': 0.5, '111': 0.5}\n"
     ]
    }
   ],
   "source": [
    "counts = result.get_counts(circ)\n",
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using Aer Simulator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "simulator = Aer.get_backend('aer_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x2887c312c40>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a Quantum Circuit acting on a quantum register of three qubits\n",
    "circ = QuantumCircuit(3)\n",
    "# Add a H gate on qubit 0, putting this qubit in superposition.\n",
    "circ.h(0)\n",
    "# Add a CX (CNOT) gate on control qubit 0 and target qubit 1\n",
    "circ.cx(0, 1)\n",
    "# Add a CX (CNOT) gate on control qubit 0 and target qubit 2, putting\n",
    "# the qubits in a GHZ state.\n",
    "circ.cx(0, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "circ.measure_all()\n",
    "circ = transpile(circ, simulator)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Run and get counts\n",
    "result = simulator.run(circ).result()\n",
    "counts = result.get_counts(circ)\n",
    "plot_histogram(counts, title='GHZ State counts')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = simulator.run(circ, shots=10, memory=True).result()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['111', '000', '111', '111', '111', '000', '111', '111', '111', '000']\n"
     ]
    }
   ],
   "source": [
    "memory = result.get_memory(circ)\n",
    "print(memory)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### How to use a provider"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# IBMQ.load_account()\n",
    "\n",
    "# provider = IBMQ.get_provider(hub = 'ibm-q')\n",
    "\n",
    "# device = provider.get_backend('ibmq_16_melbourne')\n",
    "\n",
    "# job = execute(circuit,backend = device,shots = 1024)\n",
    "\n",
    "# print(job.job_id())\n",
    "\n",
    "# device_result = job.result()\n",
    "\n",
    "# plot_histogram(device_result.get_counts(circuit))"
   ]
  }
 ],
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