{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Qiskit Visualizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:07:56.673595Z",
     "start_time": "2021-07-31T05:07:56.670504Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.tools.monitor import job_monitor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot histogram <a name='histogram'></a>\n",
    "\n",
    "To visualize the data from a quantum circuit run on a real device or `qasm_simulator` we have made a simple function \n",
    "\n",
    "`plot_histogram(data)`\n",
    "\n",
    "As an example we make a 2-qubit Bell state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:03.168385Z",
     "start_time": "2021-07-31T05:08:03.152732Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'11': 512, '00': 488}\n"
     ]
    }
   ],
   "source": [
    "# quantum circuit to make a Bell state \n",
    "bell = QuantumCircuit(2, 2)\n",
    "bell.h(0)\n",
    "bell.cx(0, 1)\n",
    "\n",
    "meas = QuantumCircuit(2, 2)\n",
    "meas.measure([0,1], [0,1])\n",
    "\n",
    "# execute the quantum circuit \n",
    "backend = BasicAer.get_backend('qasm_simulator') # the device to run on\n",
    "circ = bell.compose(meas)\n",
    "result = backend.run(transpile(circ, backend), shots=1000).result()\n",
    "counts  = result.get_counts(circ)\n",
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:04.672500Z",
     "start_time": "2021-07-31T05:08:04.216126Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Options when plotting a histogram\n",
    "\n",
    "The `plot_histogram()` has a few options to adjust the output graph. The first option is the `legend` kwarg. This is used to provide a label for the executions. It takes a list of strings use to label each execution's results. This is mostly useful when plotting multiple execution results in the same histogram. The `sort` kwarg is used to adjust the order the bars in the histogram are rendered. It can be set to either ascending order with `asc` or descending order with `desc`. The `number_to_keep` kwarg takes an integer for the number of terms to show, the rest are grouped together in a single bar called rest. You can adjust the color of the bars with the `color` kwarg which either takes a string or a list of strings for the colors to use for the bars for each execution. You can adjust whether labels are printed above the bars or not with the `bar_labels` kwarg. The last option available is the `figsize` kwarg which takes a tuple of the size in inches to make the output figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:30.989035Z",
     "start_time": "2021-07-31T05:08:30.821801Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Execute 2-qubit Bell state again\n",
    "second_result = backend.run(transpile(circ, backend), shots=1000).result()\n",
    "second_counts  = second_result.get_counts(circ)\n",
    "# Plot results with legend\n",
    "legend = ['First execution', 'Second execution']\n",
    "plot_histogram([counts, second_counts], legend=legend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:33.681069Z",
     "start_time": "2021-07-31T05:08:33.494469Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram([counts, second_counts], legend=legend, sort='desc', figsize=(15,12), \n",
    "               color=['orange', 'black'], bar_labels=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using the output from plot_histogram()\n",
    "\n",
    "When using the plot_histogram() function it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object from `plot_histogram()` to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png`. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot State <a name='state'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In many situations you want to see the state of a quantum computer. This could be for debugging. Here we assume you have this state (either from simulation or state tomography) and the goal is to visualize the quantum state. This requires exponential resources, so we advise to only view the state of small quantum systems. There are several functions for generating different types of visualization of a quantum state\n",
    "\n",
    "```\n",
    "plot_state_city(quantum_state)\n",
    "plot_state_qsphere(quantum_state)\n",
    "plot_state_paulivec(quantum_state)\n",
    "plot_state_hinton(quantum_state)\n",
    "plot_bloch_multivector(quantum_state)\n",
    "```\n",
    "\n",
    "A quantum state is either a state matrix $\\rho$ (Hermitian matrix) or statevector $|\\psi\\rangle$ (complex vector). The state matrix is related to the statevector by \n",
    "\n",
    "$$\\rho = |\\psi\\rangle\\langle \\psi|,$$\n",
    "\n",
    "and is more general as it can represent mixed states (positive sum of statevectors) \n",
    "\n",
    "$$\\rho = \\sum_k p_k |\\psi_k\\rangle\\langle \\psi_k |.$$\n",
    "\n",
    "The visualizations generated by the functions are:\n",
    "\n",
    "- `'plot_state_city'`: The standard view for quantum states where the real and imaginary (imag) parts of the state matrix are plotted like a city.\n",
    "\n",
    "- `'plot_state_qsphere'`: The Qiskit unique view of a quantum state where the amplitude and phase of the state vector are plotted in a spherical ball. The amplitude is the thickness of the arrow and the phase is the color. For mixed states it will show different `'qsphere'` for each component.\n",
    "\n",
    "- `'plot_state_paulivec'`: The representation of the state matrix using Pauli operators as the basis $\\rho=\\sum_{q=0}^{d^2-1}p_jP_j/d$.\n",
    "\n",
    "- `'plot_state_hinton'`: Same as `'city'` but where the size of the element represents the value of the matrix element.\n",
    "\n",
    "- `'plot_bloch_multivector'`: The projection of the quantum state onto the single qubit space and plotting on a bloch sphere."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:38.155610Z",
     "start_time": "2021-07-31T05:08:38.152536Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit.visualization import plot_state_city, plot_bloch_multivector\n",
    "from qiskit.visualization import plot_state_paulivec, plot_state_hinton\n",
    "from qiskit.visualization import plot_state_qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:53.778558Z",
     "start_time": "2021-07-31T05:08:53.767409Z"
    }
   },
   "outputs": [],
   "source": [
    "# execute the quantum circuit \n",
    "backend = BasicAer.get_backend('statevector_simulator') # the device to run on\n",
    "result = backend.run(transpile(bell, backend)).result()\n",
    "psi  = result.get_statevector(bell)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:55.480726Z",
     "start_time": "2021-07-31T05:08:54.964494Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:56.152890Z",
     "start_time": "2021-07-31T05:08:55.944830Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAewAAAEFCAYAAAAhYdQqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAAT70lEQVR4nO3df5BdZ33f8fdHNj8syyCDjIRJhUmc0ECb2EGUjBO7pIMYmk5+NOlMJm4BtW7Fj9aY2gSmjDOWmEygHkxNMziOHBoZJ07oJJnUQ2xih1o1xW0YCTLgQEKbupgYrSxhTBASxFjf/nGvynq9e+9d6e6efc59v2burO55zj37fXT3OZ895zz3bKoKSZK0tq3rugBJkjSegS1JUgMMbEmSGmBgS5LUAANbkqQGGNiSJDXAwJYkqQEGtiRJDTCwtagk+5LU8PHDy3jd3nmv+ycrWaOk8RzL/WFg98yCQfbtJA8l+dUk557C5n4DeD5wYBmvuWr4GkmnaTiePzKFTTmWe+DMrgvQivhj4LUM3t+XAP8J2Aj8/DK3c6yq5pbzgqr6GvC1JMv8VpJWkGO5BzzC7qdvVdVcVf1VVd0NfBh49cnGDLw9yV8mOZ7ks0n+2aQbT/KKJP9j+NqvJvnFleiEpO8Yntr+1SQ3JHk0yeEkVyV5RpIPJHlseEbttcvYpmO5IQZ2zyX5buA1wOPzFv8ScAXwrxkcgb8b+LUk/2iC7b0K+EPgg8APAtcD70ryQ1MuXdJT/VPg68ArgPcANwJ/AHwB2AbcCvx6krGnsh3L7TGw++k1SY4mOQ78JYNQ/vcASc4Grgb+ZVV9tKoerKrbgVsYBPiSkjx9uN4vVNWvV9UXqurdwBzwypXrjqShP6uqXVX1v4D3AUeAx6vq/VX1v4F3AQF+ZNRGHMtt8hp2P90H7ATOAv4V8D3Afxy2vQR4JvDRJPP/turTgP87Zrt/n8G18N9csPxx4FunVbGkSXzm5D+qqpI8Anx23rLHk3wVeN6Y7TiWG2Rg99Ox4W/bAG9Jci/wi8AuvnNW5SeAhxa87nFG+wfAZ6vq/6+X5HnAC4BPnW7RksZaOEZriWXjzp46lhtkYM+G3cBdSfYAn2PwG/QLq+q/LnM7FwPPWLDszcD/Af7naVcpabU4lhtkYM+AqtqX5HPAtVX15iTvBd6bwec17gM2AD8MnKiqPSM2dTHwjCRXAB8Hfgp4B7C9qmrE6yStLY7lBjnpbHbcAFyR5IV85/T424A/A+4BfhZ4cKkXJzmfwXWxy4ErGVw3uxz4qar67ytauaSpcSy3yyPsnqmqHUssvx24fd6iXxk+JnUR8FhV3Qncear1SZrc/PFcVa9cpP3vLLJsy5jNXoRjuUkeYWuUncOPh72cwSm0z4x7QZKbkxxd+dIkLYNjuQfi5QotJskLGHwsDOBLwG8BB6vqyjGvex7wrOHTg1X1jZWrUtI4juX+MLAlSWqAp8QlSWqAgS1JUgM6nyW+adOmuuCCC7ouYypOnDjB3Nyy/oKdVtiWLVtYt64fv5ceOHDgSFWd13UdS1m/fn1t3Lix6zKkNe/gwYOnNJY7D+wLLriA/fv3d13G1OzevbvrEjTPdddd13UJU5Pki13XMMrGjRt5wxve0HUZ0pq3a9euUxrL/Tj0kCSp5wxsSZIaYGBLktQAA1uSpAYY2JIkNcDAliSpAQa2JEkNMLAlSWqAgS1JUgMMbEmSGmBgS5LUAANbkqQGGNiSJDXAwJYkqQEGtiRJDTCwJUlqgIEtSVIDDGxJkhpgYEuS1ICJAzvJm5M8mOSbSQ4kuXRe2zOS/EqSI0m+keSOJN+1MiVLkjR7JgrsJD8HvB/4ZeBi4H7griRbh6vcCPws8PPApcCzgI8kOWPaBUuSNIsmPcK+GthbVbdU1eer6krgIPCmJM8GrgB+oaruqapPAa8FfgB41YpULUnSjBkb2EmeDrwMuHtB093AJcO2p81vr6ovAZ8ftkuSpNM0yRH2JuAM4NCC5YeALcPHE8CRJdolrTHOSZHa08ks8SQ7k+xPsv/w4cNdlCDNLOekSG2aJLCPMDiC3rxg+WZgbvg4g8GR+GLtT1FVe6pqW1VtO++885ZXsaTT5ZwUqUFjA7uq/gY4AGxf0LSdwW/mB4DH57cPT599/7Bd0hrhnBSpXWdOuN77gNuSfBL4BPBG4Hzg5qr6WpIPAtcneQT4ynD9zwB/vAI1Szp1o+akvIplzklJshPYCfDsZz972rVKmmeiwK6qDyd5LnAt8HzgAeDHq+qLw1XeCnwb+DBwFvAx4HVV9cTUK5a0ZlTVHmAPwPnnn18dlyP12qRH2FTVTcBNS7R9C7hy+JC0di1nTsrhBe0fX40CJS3Oe4lLM8Q5KVK7Jj7CltQbzkmRGmRgSzPGOSlSmwxsaQY5J0Vqj9ewJUlqgIEtSVIDDGxJkhpgYEuS1AADW5KkBhjYkiQ1wMCWJKkBBrYkSQ0wsCVJaoCBLUlSAwxsSZIaYGBLktQAA1uSpAYY2JIkNcDAliSpAZ0H9okTJ7ouYWqOHj3adQlawPdEUl+c2XUBc3Nz7N69u+sy1FM33HBD1yVI0lR0foQtSZLGM7AlSWqAgS1JUgMMbEmSGmBgS5LUAANbkqQGGNiSJDXAwJYkqQEGtiRJDTCwJUlqgIEtSVIDDGxJkhpgYEuS1AADW5KkBhjYkiQ1wMCWJKkBBrYkSQ0wsCVJaoCBLUlSAyYO7CRvTvJgkm8mOZDk0nltO5Pcm+SxJJXkghWpVpKkGTVRYCf5OeD9wC8DFwP3A3cl2TpcZT1wN7BrBWqUJGnmnTnhelcDe6vqluHzK5O8BngT8O+q6kaAJNumX6IkSRp7hJ3k6cDLGBxBz3c3cMlKFCVJkp5sklPim4AzgEMLlh8CtpzKNx1e896fZP+xY8dOZROSJM2UTmaJV9WeqtpWVdvWr1/fRQmSJDVlksA+AjwBbF6wfDMwN/WKJEnSU4wN7Kr6G+AAsH1B03YGs8UlSdIKm3SW+PuA25J8EvgE8EbgfOBmgCRbGFzP/r7h+i9JshF4qKoenWrFkiTNoIkCu6o+nOS5wLXA84EHgB+vqi8OV3kjcN28l/zh8Os/B/ZOp1RJkmbXpEfYVNVNwE1LtO3Cm6ZIkrRivJe4NIO81bDUHgNbmjHealhq08SnxCX1hrcalhrkEbY0Q7zVsNQuA1uaLVO91bC3GZZWj4Et6ZR5m2Fp9RjY0mzxVsNSowxsaYZ4q2GpXc4Sl2aPtxqWGmRgSzPGWw1LbTKwpRnkrYal9ngNW5KkBhjYkiQ1wMCWJKkBBrYkSQ0wsCVJaoCBLUlSAwxsSZIaYGBLktQAA1uSpAYY2JIkNcDAliSpAQa2JEkNMLAlSWqAgS1JUgMMbEmSGmBgS5LUAANbkqQGGNiSJDXAwJYkqQEGtiRJDTCwJUlqgIEtSVIDDGxJkhpgYEuS1AADW5KkBhjYkiQ1wMCWJKkBBrYkSQ0wsCVJasBEgZ3ksiR3JHk4SSXZsaA9SXYl+XKS40n2JXnpilQsSdIMmvQIewPwAHAVcHyR9rcD1wBXAi8HHgHuSXLONIqUJGnWTRTYVXVnVb2zqn4XODG/LUmAtwLvqarfq6oHgNcD5wCXT7leSZJm0jSuYb8I2ALcfXJBVR0H7gMumcL2JUmaedMI7C3Dr4cWLD80r+1JkuxMsj/J/mPHjk2hBEmS+q2TWeJVtaeqtlXVtvXr13dRgiRJTZlGYM8Nv25esHzzvDZJknQaphHYDzII5u0nFyR5JnApcP8Uti9J0sw7c5KVkmwALhw+XQdsTXIR8GhVPZTkRuCdSf4c+AJwLXAUuH3qFUuSNIMmCmxgG3DvvOe7h49bgR3A9cBZwAeAc4E/AV5dVV+fWqWSJM2wiQK7qvYBGdFewK7hQ5IkTZn3EpckqQEGtiRJDTCwJUlqgIEtSVIDDGxJkhpgYEuS1AADW5KkBhjY0gxJclmSO5I8nKSS7FjQniS7knw5yfEk+5K8tKNyJc1jYEuzZQPwAHAVcHyR9rcD1wBXAi8HHgHuSXLOqlUoaVEGtjRDqurOqnpnVf0ucGJ+W5IAbwXeU1W/V1UPAK8HzgEuX/ViJT2JgS3ppBcBW4C7Ty6oquPAfcAlXRUlacDAlnTSluHXQwuWH5rX9iRJdibZn2T/sWPHVrQ4adYZ2JJOWVXtqaptVbVt/fr1XZcj9ZqBLemkueHXzQuWb57XJqkjBrakkx5kEMzbTy5I8kzgUuD+roqSNDDR38OW1A9JNgAXDp+uA7YmuQh4tKoeSnIj8M4kfw58AbgWOArc3kG5kuYxsKXZsg24d97z3cPHrcAO4HrgLOADwLnAnwCvrqqvr26ZkhYysKUZUlX7gIxoL2DX8CFpDek8sLds2cJ1113XdRlTcfToUW644Yauy9A811xzDRs2bOi6jKnYtWtX1yVI6lDnk87Wreu8hKnpSzD0ie+JpL7oT1pKktRjBrYkSQ0wsCVJaoCBLUlSAwxsSZIaYGBLktQAA1uSpAYY2JIkNcDAliSpAQa2JEkNMLAlSWqAgS1JUgMMbEmSGmBgS5LUAANbkqQGGNiSJDXAwJYkqQEGtiRJDTCwJUlqwESBneSyJHckeThJJdmxoP1nkvxRksPD9leuQK2SJM2sSY+wNwAPAFcBxxdpPxu4H7h6SnVJkqR5zpxkpaq6E7gTIMneRdpvG7ZtmmZxkiRpwGvYkiQ1wMCWJKkBnQR2kp1J9ifZf/jw4S5KkCSpKZ0EdlXtqaptVbXtvPPO66IESZKa4ilxSZIaMNEs8SQbgAuHT9cBW5NcBDxaVQ8leQ6wFdg4XOfCJI8Bc1U1N9WKJUmaQZMeYW8DPj18nAXsHv77XcP2nxw+v3f4/Jbh8zdOrVJJkmbYpJ/D3gdkRPteYO9UKpIkSU/hNWxJkhpgYEuS1AADW5KkBhjYkiQ1wMCWJKkBBrYkSQ0wsCVJaoCBLUlSAwxsSZIaYGBLktQAA1uSpAYY2JIkNcDAliSpAQa2JEkNMLAlSWqAgS3NkCSXJbkjycNJKsmOBe0/k+SPkhwetr+yk0IlPYWBLc2WDcADwFXA8UXazwbuB65ezaIkjXdm1wVIWj1VdSdwJ0CSvYu03zZs27S6lUkaxyNsSZIakKrqtoDkMPDFFf42m4AjK/w9Vot9WXtWqx8vrKrzprWxJEeBf1NVexdp2wQcBn6sqvaN2MZOYOfw6YuBv5hWfRPqy8/QOPazX15cVecs90WdnxKf5g5oKUn2V9W2lf4+q8G+rD196cepqKo9wJ6uvv+s/N/bz35Jsv9UXucpcUmSGmBgS5LUgM5Pia+Szk7ZrQD7svY0048kG4ALh0/XAVuTXAQ8WlUPJXkOsBXYOFznwiSPAXNVNbfK5U6imf/702Q/++WU+tn5pDNJq2d4I5R7F2m6tap2DG+k8huLtO+uql0rV5mkcQxsSZIa4DVsSZIaYGBLktQAA1uSpAb0bpZ4kgCvAi4BtgwXzwGfAD5WPblon+Rc4Ceq6kNd1yKthlkZ26M47mdbryadJXkB8BHgB4DPA4eGTZuB7wf+FPjJqnq4kwKnKMkPAp+qqjO6rmUSSc4GLmfxne1vV9U3uqptmpJsBt5QVe/qupY+maWxPUpr436cWdkvjLKcfUbfAvu/AM8CXltVf7Wg7buADwF/XVU/3UF5y5Jk65hVXgp8pIWBm+QlwD3AOcB9PHlneynwdeDVVfW5biqcnr7tUNeKPo3tUfo07seZpf3CKMvZZ/QtsI8CP1pVf7pE+8XAx6tqw6oWdgqSnABGvTkBqoWBm+Re4BHg9VX1zQVtzwT2Apur6sc6KG9Zklw2ZpXvBfa08L60pE9je5Q+jftx+rRfGGWa+4y+XcM+DjxnRPtzhuu04GvAdQxODS3mxcBtq1fOaXkFsG3hoASoqm8m+SXgk6tf1inZx2CHmhHr9Oe34LWjT2N7lD6N+3H6tF8YZR9T2mf0LbB/B/hQkrcB91TVVwCSPBfYDlwP3N5hfcvxaeCsqjqwWGOSbzP6B2At+SrwfcBSp7a+d7hOC44A/xb46BLtfxf42OqVMzP6NLZH6dO4H6dP+4VRprbP6FtgX8OgT7cCZyZ5Yrj8DODbwAeBt3VU23L9NrB+RPscsHuVajldtwC3Jnk3g2tW869VbQfeAfyHjmpbrk8B330yMBZK8lX6s0NdS/o0tkfp07gfp0/7hVGmts/o1TXsk5I8C3gZT551eKCq/rq7qmZbkncAVzF4T07+0IXBe3NjVV3fVW3LkeQfA2dX1W8u0X4ug9nKt65uZbPBsd0vfdkvjDLNfUbvAns4Y/RNLP4xgZsXzjBdy8b05deq6ktd1XaqkryIeX2pqge7rEft6NPYHqWP434c9wuT6VVgJ/lR4C7gIHA3Tz3F8nzgH1bVUhM61ow+9WWcJH+LwV+D+hdd13K6+tSXtWRWxsOs9HMSszKWltPPvgX2fuD+qnrLEu3vBy6pqpevbmXL16e+jNOnzy73qS9ryayMh1np5yRmZSzN8uewjwMXVdVfLNH+t4FPV9VZq1vZ8vWsL68bs8pWBr9hrvmB2ae+tKRP42GUWeknzM5YmmY/+zZL/CDwI8CiP+zDtoOrV85p6VNf9gLHWPqzhi39EZq99KcvLenTeBhlVvoJszOW9jKlfvYtsN8L3Jzk77H4xwR2AG/tpLLl61Nfvgy8pap+f7HGJBcBi37udA3qU19a0qfxMMqs9BNmZyxNrZ+9CuyquinJVxh8SP0KBp/RBHiCwX/I66rqP3dV33L0qS8M6v0hYNEfWMbfBWgt6VNfmtGz8bCkWenn0KyMpan1s1fXsOdL8jRg0/Dpkap6vMt6TkfrfUlyKbChqu5aov1sBrco/G+rW9ny9akvrWp9PEyq7/2clbE0zX72NrAlSeqTvlzUlySp1wxsSZIaYGBLktQAA1uSpAYY2JIkNeD/AaJ4NJS08ZGSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_hinton(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:58.220624Z",
     "start_time": "2021-07-31T05:08:56.933497Z"
    },
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_qsphere(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:58.370300Z",
     "start_time": "2021-07-31T05:08:58.223788Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_paulivec(psi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:08:59.932552Z",
     "start_time": "2021-07-31T05:08:59.518913Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_multivector(psi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we see that there is no information about the quantum state in the single qubit space as all vectors are zero. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Options when using state plotting functions\n",
    "\n",
    "The various functions for plotting quantum states provide a number of options to adjust how the plots are rendered. Which options are available depends on the function being used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_city()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height).\n",
    "- **color** (list): a list of len=2 giving colors for real and imaginary components of matrix elements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:02.178208Z",
     "start_time": "2021-07-31T05:09:01.864008Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_city(psi, title=\"My City\", color=['black', 'orange'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_hinton()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:03.630399Z",
     "start_time": "2021-07-31T05:09:03.400479Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_hinton(psi, title=\"My Hinton\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_paulivec()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height).\n",
    "- **color** (list or str): color of the expectation value bars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:05.915291Z",
     "start_time": "2021-07-31T05:09:05.790887Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_paulivec(psi, title=\"My Paulivec\", color=['purple', 'orange', 'green'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_state_qsphere()** options\n",
    "\n",
    "- **figsize** (tuple): figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plot_bloch_multivector()** options\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:08.540562Z",
     "start_time": "2021-07-31T05:09:08.227233Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_multivector(psi, title=\"My Bloch Spheres\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using the output from state plotting functions\n",
    "\n",
    "When using any of the state plotting functions it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png` in the current working directory. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Bloch Vector <a name='bloch'></a>\n",
    "\n",
    "A standard way of plotting a quantum system is using the Bloch vector. This only works for a single qubit and takes as input the Bloch vector. \n",
    "\n",
    "The Bloch vector is defined as $[x = \\mathrm{Tr}[X \\rho], y = \\mathrm{Tr}[Y \\rho], z = \\mathrm{Tr}[Z \\rho]]$, where $X$, $Y$, and $Z$ are the Pauli operators for a single qubit and $\\rho$ is the state matrix.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:13.556822Z",
     "start_time": "2021-07-31T05:09:13.553512Z"
    }
   },
   "outputs": [],
   "source": [
    "from qiskit.visualization import plot_bloch_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:14.078221Z",
     "start_time": "2021-07-31T05:09:13.830668Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_vector([0,1,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Options for plot_bloch_vector()\n",
    "\n",
    "- **title** (str): a string that represents the plot title\n",
    "- **figsize** (tuple): Figure size in inches (width, height)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:16.121246Z",
     "start_time": "2021-07-31T05:09:15.903295Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_vector([0,1,0], title='My Bloch Sphere')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adjusting the output from plot_bloch_vector()\n",
    "\n",
    "When using the `plot_bloch_vector` function it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png` in the current working directory. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-31T05:09:18.283600Z",
     "start_time": "2021-07-31T05:09:17.464585Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.19.0.dev0+be0ed5f</td></tr><tr><td><code>qiskit-aer</code></td><td>0.8.2</td></tr><tr><td><code>qiskit-ignis</code></td><td>0.6.0</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.16.0.dev0+4e20edc</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.7 (default, May  6 2020, 04:59:01) \n",
       "[Clang 4.0.1 (tags/RELEASE_401/final)]</td></tr><tr><td>OS</td><td>Darwin</td></tr><tr><td>CPUs</td><td>6</td></tr><tr><td>Memory (Gb)</td><td>32.0</td></tr><tr><td colspan='2'>Sat Jul 31 01:09:18 2021 EDT</td></tr></table>"
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       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2021.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
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       "<IPython.core.display.HTML object>"
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   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
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     "delete_cmd_postfix": ") ",
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