IQX Colors Purple.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Circuit library\n",
    "\n",
    "They are all rendering as block."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1683.19x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit import QuantumCircuit\n",
    "\n",
    "circuit = QuantumCircuit(5)\n",
    "circuit.i(0)\n",
    "circuit.x(1)\n",
    "circuit.y(2)\n",
    "circuit.z(3)\n",
    "\n",
    "circuit.h(0)\n",
    "circuit.s(1)\n",
    "circuit.sdg(2)\n",
    "circuit.cx(0, 1)\n",
    "circuit.cy(2, 3)\n",
    "circuit.cz(1, 2)\n",
    "circuit.swap(2, 3)\n",
    "circuit.iswap(2, 3)\n",
    "circuit.dcx(0, 1)\n",
    "\n",
    "circuit.u1(0, 0)\n",
    "circuit.u2(0, 0, 1)\n",
    "circuit.u3(0, 0, 0, 2)\n",
    "\n",
    "\n",
    "circuit.cu1(0, 0, 1)\n",
    "circuit.cu3(0, 0, 0, 2, 3)\n",
    "\n",
    "circuit.ch(3, 4)\n",
    "\n",
    "circuit.rx(0, 0)\n",
    "circuit.ry(0, 1)\n",
    "circuit.rz(0, 2)\n",
    "circuit.r(0, 0, 3)\n",
    "circuit.t(4)\n",
    "circuit.tdg(4)\n",
    "\n",
    "circuit.rxx(0, 0, 1)\n",
    "circuit.ryy(0, 1, 2)\n",
    "circuit.rzz(0, 2, 3)\n",
    "circuit.rzx(0, 0, 1)\n",
    "circuit.ccx(0, 1, 2)\n",
    "circuit.cswap(0, 1, 2)\n",
    "circuit.rccx(0, 1, 2)\n",
    "circuit.rcccx(0, 1, 2, 3)\n",
    "circuit.ms([[0] * 5] * 5, [0, 1, 2, 3, 4])\n",
    "\n",
    "circuit.unitary(np.eye(4), [0, 1])\n",
    "# circuit.initialize(np.eye(4)[0,:], [2, 3])\n",
    "# circuit.isometry(np.eye(4), [], [1, 2])\n",
    "\n",
    "circuit.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1201.59x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import QFT  # e.g. for the Quantum Fourier Transform\n",
    "QFT(4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 434.644x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import OR\n",
    "OR(4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 533.372x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import LinearPauliRotations\n",
    "LinearPauliRotations(4, offset=2, slope=0.5).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 550.228x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import PiecewiseLinearPauliRotations\n",
    "PiecewiseLinearPauliRotations(4, breakpoints=[0, 2], offsets=[2, 1], slopes=[0.5, -0.5]).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1020.99x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import QuantumVolume\n",
    "QuantumVolume(4).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1683.19x866.88 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "QuantumVolume(4).decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1020.99x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import EfficientSU2\n",
    "EfficientSU2(3, entanglement='linear').draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1748.21x1167.88 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import WeightedAdder\n",
    "WeightedAdder(3, [1,2,1]).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 604.408x385.28 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import IntegerComparator\n",
    "IntegerComparator(3, 4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 719.992x445.48 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "circuit = QuantumCircuit(7)\n",
    "circuit.mcx([0, 1, 2, 3], 4, ancilla_qubits=[5, 6], mode='v-chain')\n",
    "circuit.decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1683.19x927.08 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1502.59x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import ZZFeatureMap\n",
    "ZZFeatureMap(3).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1502.59x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import ExcitationPreserving\n",
    "ExcitationPreserving(3).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 719.992x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import IQP\n",
    "IQP([[6, 5, 3], [5, 4, 5], [3, 5, 1]]).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 780.192x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import GMS\n",
    "GMS(5, [[0.2] * 5] * 5).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1683.19x686.28 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "GMS(5, [[0.2] * 5] * 5).decompose().decompose().draw(output='mpl')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.5 64-bit ('latest': virtualenv)",
   "language": "python",
   "name": "python37564bitlatestvirtualenv76cfe9d7d3f749489cf2ff69593234af"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}