QuantumComputing.ipynb

{
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   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Quantum Computing\n",
    "\n",
    "## Aufbau\n",
    "\n",
    "Classische Computer bestehen aus eine Anzahl **Register**, die eine hardware-bestimmte **Länge** haben. Z.B. 64-Bit Computer haben 1-2 Duzend 64-Bit Register. \n",
    "\n",
    "Quantum Computer haben eine maximale Anzahl an Qubits. Register sind eher nur eine logische gruppierung, nicht hardware-bedingt wie im Classischen Fall. Also ein 16-Qubit Quantum Computer hat tatsächlich insgesamt 16 Qubits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=248x122 at 0x7FD684D80908>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import *\n",
    "import numpy as np\n",
    "from qiskit.tools.visualization import circuit_drawer, plot_histogram\n",
    "\n",
    "q = QuantumRegister(1)\n",
    "c = ClassicalRegister(1)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.measure(q, c)\n",
    "\n",
    "circuit_drawer(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'0': 1024}\n"
     ]
    }
   ],
   "source": [
    "backend = Aer.get_backend('qasm_simulator')\n",
    "result = execute(circuit, backend).result()\n",
    "\n",
    "print(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Model\n",
    "\n",
    "Classische CPUs bestehen grundsätzlich aus Bit-Schranken: **NOT**, **OR**, **AND**, **XOR**, etc. *Aber*, das alles kann mit entweder **NAND*** oder **NOR** Schranken implementiert werden.\n",
    "\n",
    "Ähnlich, Quantum-Computer bestehen aus Schranken die auf Qubits definiert sind: **H, X, Y, Z, RΦ, √NOT, SWAP**, etc. Die können aber alle implentiert werden durch nur 2: **CNOT** und generische **Rotation**.\n",
    "\n",
    "Quantum-Computer (zu mindest heutzutage) sind definiert durch diese Low-Level Operationen, als würden wir Bit-Schranken zusammenschalten in Klassischen Rechnern."
   ]
  },
  {
   "attachments": {
    "cnot.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## CNOT\n",
    "\n",
    "Controlled-NOT Schranke.\n",
    "\n",
    "![cnot.png](attachment:cnot.png)\n",
    "\n",
    "\n",
    "| Input X | Input Y |  Output X | Ouput Y |\n",
    "|---------|---------|-----------|---------|\n",
    "|  $|0⟩$  |  $|0⟩$  |  $|0⟩$    |  $|0⟩$  |\n",
    "|  $|0⟩$  |  $|1⟩$  |  $|0⟩$    |  $|1⟩$  |\n",
    "|  $|1⟩$  |  $|0⟩$  |  $|1⟩$    |  $|1⟩$  |\n",
    "|  $|1⟩$  |  $|1⟩$  |  $|1⟩$    |  $|0⟩$  |\n",
    "\n",
    "\n",
    "Natürlich, wir haben nicht nur reine Basis-Zustände. Für einen beliebigen Zustand:\n",
    "\n",
    "CNOT $\\pmatrix{a \\\\ b \\\\ c \\\\ d} = \\pmatrix{a \\\\ b \\\\ d \\\\ c}$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=372x202 at 0x7FD69D804A90>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(2)\n",
    "c = ClassicalRegister(2)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.cx(q[0], q[1])\n",
    "circuit.measure(q, c)\n",
    "\n",
    "circuit_drawer(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = execute(circuit, backend).result()\n",
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit._instructionset.InstructionSet at 0x7fd684c75b00>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(2)\n",
    "c = ClassicalRegister(2)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.initialize([0, 1], [q[0]])\n",
    "circuit.cx(q[0], q[1])\n",
    "circuit.measure(q, c)"
   ]
  },
  {
   "attachments": {
    "cnot-1.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "![cnot-1.png](attachment:cnot-1.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = execute(circuit, backend).result()\n",
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Rotation\n",
    "\n",
    "Was ist \"Rotation\"? Vieleicht ein Thema für ein anderesmal.\n",
    "\n",
    "Für jetzt brauchen wir nur den **Hadamard-Gate**. Es ist quasi-äquivalent zu dem halbdurchlässigen Spiegel.\n",
    "\n",
    "$H(|0⟩) = \\frac{1}{\\sqrt{2}}|0⟩ + \\frac{1}{\\sqrt{2}}|1⟩$ \n",
    "\n",
    "$H(|1⟩) = \\frac{1}{\\sqrt{2}}|0⟩ - \\frac{1}{\\sqrt{2}}|1⟩$\n",
    "\n",
    "$H(H\\pmatrix{a \\\\ b}) = \\pmatrix{a \\\\ b}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=312x88 at 0x7FD684C386A0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(1)\n",
    "c = ClassicalRegister(1)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.h(q[0])\n",
    "circuit.measure(q, c)\n",
    "\n",
    "circuit_drawer(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = execute(circuit, backend).result()\n",
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Entanglement / Verschränkung\n",
    "\n",
    "Was passiert, wenn wir die 2 Gates die wir kennen jetzt kombinieren?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=436x182 at 0x7FD69E5B55F8>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(2)\n",
    "c = ClassicalRegister(2)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.h(q[0])\n",
    "circuit.cx(q[0], q[1])\n",
    "circuit.measure(q, c)\n",
    "\n",
    "circuit_drawer(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = execute(circuit, backend).result()\n",
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "$X = \\frac{1}{\\sqrt{2}}|0⟩ + \\frac{1}{\\sqrt{2}}|1⟩ = \\pmatrix{\\frac{1}{\\sqrt{2}} \\\\ \\frac{1}{\\sqrt{2}}}$, $Y = |0⟩ = \\pmatrix{1 \\\\ 0}$\n",
    "\n",
    "$|XY⟩ = |X⟩|Y⟩ = \\pmatrix{\\frac{1}{\\sqrt{2}} \\\\ \\frac{1}{\\sqrt{2}}} \\pmatrix{1 \\\\ 0} = \\pmatrix{\\frac{1}{\\sqrt{2}} \\\\ 0 \\\\ \\frac{1}{\\sqrt{2}} \\\\ 0}$\n",
    "\n",
    "$CNOT(|XY⟩) = CNOT\\pmatrix{\\frac{1}{\\sqrt{2}} \\\\ 0 \\\\ \\frac{1}{\\sqrt{2}} \\\\ 0} = \\pmatrix{\\frac{1}{\\sqrt{2}} \\\\ 0 \\\\ 0 \\\\ \\frac{1}{\\sqrt{2}}} = |??⟩$"
   ]
  },
  {
   "attachments": {
    "bombtester-cnot.png": {
     "image/png": 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EBISEhFgSw+U0vLDNAFyFRqFQQkJCWC5h8+menp6jmI2SkpIwbDiPU1hYCF+rgYGBuLg4t+ygScLBweHRo0cjurnIyMg8ePBg8+bNqG65S0dHh4+Pz5IlS5qamu7du1dZWbl///7xzW5/1ut7xYoVjx8/zsnJUVBQcHFxWb9+PSejzFMBnU7HurqKiorJycn9/f1tbW2JiYnMg2u///778Ei53t7e8GpoaCiNRoMnHz16BBVQU1Ozu7sbSywhISEsLDw8E7ie5M6dO2MK0rtlyxZlZWVlZeWamhpuRQKn0+nr16+HTwQdMOHJiIgI+BlwcHBgjhDODIVCkZeX37VrF19EAsemSj4bhJlOp2NGWVVVFYf5T0Yk8I6Ojh9//HHZsmWCgoKioqJmZmanTp1qb2/ntUjgk123UxAJ/MWLF8rKymJiYoGBgX19fVMW65tOp9+5c2fBggWioqLsYqdPZSRwwGAwEhMTmbstmHG3bNkyXV1deNza2jr8ZhKJhHUcFi5caG9vj40wKigoFBcXMyeWk5PD4XDDM9m1axcA4PHjx2MqNww9C/vj3BJHBoPR0NCA+TeYmJg4OTlhwXhUVVWbmprY5Qn3kHnz5g1fiOP27dvhQ0VHR4+eEpuvk5OTY/dhmOJtEggEgre3N89ukzDZdTup4kilUgMCAgQFBc3MzDjX61Hw8vKSlJQc5YczoqrAITsnJ6eOjo5p3iZh8+bNsbGxWDQaKpVqYmISHR39+vVrGBBMQ0NjxMg30tLSz549g52ampqa5OTk4uJiqKrZ2dkscy/wkYaPuVIoFDCqf8xUoqKikp+fD72aCgoKEhMTq6qqAABr167Nzc0dxXk1JiZm0aJF5ubmgB/gfKiLOeXfIWDM37luu7u7169ff+rUqQMHDsBxwAlmWFxcfPXq1bHG+paWlo6Pj4+JiXn69OnSpUvhD3Ba+JeR6O7u7ujoWFhYKCkpuWjRIjhQWF9fD6cmRnnNcnJyiYmJhYWFqampLS0tsrKyq1atWrly5fBZCyh/DQ0NLJUOQ/KN7lk9nMzMzEmqESUlpYyMjPz8/LS0tNbWVhUVFUtLy9EHoZuamp48eRIcHMwX8tHe3g4bnKSkpI6ODp8OiqG65S4tLS12dnbl5eUPHjxwcHDgSp4TifXt6em5bNkyW1vbL774Ijk5eVomrISYxWv16tXj+wYaGxtjno/sIBAIeXl5RCKRRRxLS0vxePzUOC5xjqmpqampKYeJr127hsPhvvnmG774AWPuI0uWLIHOulyxgxD8W7e1tbU2NjadnZ3p6emYe8kEgbG+Y2Njx70YRldXNycnx9bW1tLSMiUlBRtJmzIEOHnTXHl5jo6OgMmlHFJZWdna2mppacnL0dJHh8FgxMTEbNiwgV/2X+Q8eiCNRsO8PpE4zuC6TUpKGhoays7O5pYycivW97x5816+fGlra9vQ0DD11SLw2S8bJ+5anGBraysiIhIbG8u84vD8+fMAAG6Z8dPC69eviUQiX7g3jtVg+euvv6CLlaam5pjWJv5t4dO69fPzq62txWZfJw7m9T3xWN/S0tJ37951c3Obzm41uy+boaEhu50DxoSUlNSRI0dOnz7t4uLyz3/+U0lJ6cKFC5GRkQQCwd3dnX9/DzExMXPmzLGzs+OXAqekpHCY0sDAgEcCyqG6nXQriXs7FgwODgYGBtra2vJ+rO9ximNFRQVcVcrF0eLAwMCOjo4LFy5gbUhfX//hw4dcEd9pgUwm37lzZ8+ePWiTewQCgsPhNmzYMDwG9swRR+4OOP7rjwkJRUZG7t27Ny0traenx9jY2NbW9rPj1rzM3bt34Toi9JNAICDCwsKTt7MeT4jjtm3bYDRvLkbEhOjq6nJxdGN6iY2NNTc3nzGPg0AgPi+OIiIivBkmZOKoq6uz2yRrTMDox5wE1EIgEDNHHGcwcIp84uBwuKqqKrRuBIFA4jhD4KKcIWVEIGYqAqgKEAgEAokjAoFAoG713wY4vxQUFMQjGx/X1dXx73rQEblx48a7d+94oSQ5OTlcmU5EIHH8WyAnJycuLv727VsurnOYCBQKRVZWlh9r0tvbm0qlMgfoo9PpeDy+oKAAhuObduBGev7+/swn379/b2ho+P3333OeT3t7e3NzM0s+E4RGo7179w7bDyc/P19TU/OzWwCNiVevXk3ZVjM4tD4MMUVNDcedxqatrW1paXnx4sXJKAlcrMV3S7Z6enqUlZVra2s5v2X16tW5ubncfVIajdbd3T1r1iwYMLuzs1NcXHyse6J+9tsgLi4+fJcnZDkiEJOLjIzMjh07hm8ixOPY29uPaZ9VMDkRUYuLi42MjO7fv29tbT0wMCAmJhYaGurj48OnjQFNyCAQCAQSRwQCgUDiiEAgEEgcx8DQ0BDc1WvijHWgB4FAIHHkXfbs2cOV8LoMBkNNTS0yMhI1I8RkQCQSt23b1t/fj6oCieMU8fHjx48fP048HxwOZ2pqGhERgdyhEJOBn59fZmYmWr8/E8SRQqH89ddfaWlpubm5nZ2dfF0vVCqVSCQ+f/68tLSURqOxS+bp6VlRUcGyaxgCMXEyMzOTk5NPnjzJ9YCqiCkVx5aWFl9fX0VFRT09vXXr1pmbmysoKFhYWHR1dfFdjdBotPDw8AULFhAIBGtrawMDA3V19fPnz49oHjo4OMjKysbExKCWNNnQ6fQPHz68ffu2s7OTSCSWlJS0t7fP4Ic9dOiQjo4OCjLP3+KYlpZmYGAQEREBpVBaWlpAQIBGo718+ZLvhksGBgacnZ39/Pyam5vBv1dKNDQ07N+/38XFZbgJicfjv/7664SEBLiTHILrMBiMZ8+eeXt7z58/X0VFxczMrLW19fnz54aGhvLy8kZGRgEBAWVlZTPsqa9fv56XlxcWFgaXmiD4UhyfP3++cePG1tZWRUXF6Ojo7u5uEok0ODhYXFzMjz2CwMDApKQkAICXl1dzc3NPT09RUdGWLVsAAPfu3QsODh6xZ00mkxMTE1Fj4jpZWVnLly9fu3bto0eP7O3t4+Pjs7Oz1dTUXFxc0tPTr1y5oqGhERYWZmho6ObmNqbFc7xMf39/QECApaXl+vXrURuY5i/zuGlsbISryrW0tJqbmxl8woYNGywsLIafr6iogLt9ubm50el07DyVSt20aRMAQFBQsLq6eviNxsbGq1evZiBGZUyNbXBwcPfu3QAAXV3dhw8f0mg07BKBQPD29sb+29fXd+7cOVlZWTweHx0dPcGSzJ0798iRI9NbUadOnRIQEMjLyxtTk7ayspr2V1xUVAQAePbsGYPBgL3GyMhI/m2xE7IcfX19u7u7cThcUlLS3Llz+f07ERUVRaPR8Hh8SEgI8xShoKBgWFgYHCu4fv368Bt37tyZmZlZU1ODvrVcoaOjY+3atb/99ltoaGhxcbGDg8Mo0YbExMT8/Pyqq6u/+uorLy8vPz8/Op3Ov8/+6dOn0NBQDw8PU1NT1BL4tVtdVFR0//59AICzs7Oent4MsKBv3boFALCwsJg3bx7LVXV1dQsLCwDAjRs3ht+7fft2ERGRq1evovY0cQYHBx0dHQsKClJSUg4dOsThzr0yMjK3bt06derUL7/8cuzYMf59/ICAgKGhoR9++AG1BD4Wx8uXL8MDvm6LGDU1NXASxsjIaMQE8HxVVVVrayvLJTk5OUdHx7i4uFGcfhAcsm/fvpycnNu3b69bt25MN+JwuOPHjx8/fjwkJOTmzZv8+Ozl5eXR0dFHjhyZP38+agn8Ko4MBuPu3bvQpDI0NIQf/PT09IsXL164cIEfZw8LCwuZRXA42tramMk8/Kqnp2d9fX1GRgZqUhMhJSXlypUr4eHhtra248shKCjI0dHRx8dn+DeM9zl06JCsrOzBgwdRS+BFcaTT6U+fPv3mm2+WLl1qZWX1/fffNzU1AQAOHjy4aNEiXV1duJqYSCS2tbVBKaFSqaGhoSoqKjY2Nj4+Pnv37tXX19+9e/ekBuy9ePHioUOHDh06BIsxcTo6OuCBpqbmiAmw8yPOiq5du3bevHmxsbGoSY0bGo3m7++/dOnSffv2jTsTHA4XGRlJo9FOnTrFX4+fmZmZkpJy+vTpWbNmocbAC/yXF1VjY6Obm1tWVhZ2JiMj48KFCw8ePEhOTq6srNTX14feObm5uTCBhoaGjY1NZmamsLCwmZlZV1dXRUUFACAqKorBYERFRU1SuRMSEmA5vb29mYPajxsSiQQP2MVGxjZFIZPJw68KCgq6u7uHhYV1dnbyyEYufEdiYmJpaWlGRsYEF8zNmzfvwIEDoaGh33//vZKSEl88O/L65mnLkUgkLl26FCqOmJjYtm3bTp065eXl1dPT89VXX1VWVgIAzMzMYGI4PAdFMDMz88SJEyQSKTc3t7y8PD09HerLlStXMA3lfTBxhNtfDEdYWHgUcQQAeHh4UCiU+Ph41KrGx927d3V1ddesWTPxrHx8fIaGhh49esQvz37t2jXk9c2j4kgikWxsbGA4hhUrVlRXV9+6dev48eO//fbb9evXsVWAy5YtY+mEksnkgICAkydPiouLwzNWVlZY73KUjT6oVCo7leGEgICA27dv3759W1FRkSsVgS0G/6w4stv7jUAgrFixAi0lHB8UCuXp06fQn3TizJs3b+nSpQ8fPuSLZ+/v7w8MDERe3zwqjvv373///j0AYOfOnRkZGcydEVdXV3V1dXiMWY6YrsnJyR0+fJglUxcXl4ULFwIA4uPjR4xAUVtbu2bNmujo6HGX29LS0tXV1dXVlVsDNNgIKTsvOew8lUpll8nOnTvfvXtXWlqKGtZYKS0tJZPJVlZW3MrQxsbmzZs3fPHs586da2xsDA0NRc2A58SxsLDw2rVrAABNTc3IyEjMRPpXCgEBOBchJiaG+TNiA3B2dnaSkpIsmeJwOCcnJ2gOMCtFfHz8vn371qxZo6Gh8erVK56qCOwp2M0jYeelpaXZZeLs7CwhIYGMx3Hw4cMHAICqqiq3Mpw/fz5fxD1BXt88ixD8cMH/XLp0acTV0H/99RcAwNTUFNNNbC9aLS2tEfPFztfV1a1cuRLrZVdVVenr63/xxRevX7/mqYrALNCJiKOkpKSzs/OtW7fOnj077i2kP3z48N13303Z5rzMdHR0tLe3s3unE8Ta2trGxobdVSKRCAD49ttvP+v13djYmJycXFVVNXoyOEY04l8cpSQdHR11dXVc0XoikUgkEquqqkgkEolE6unpGRwclJCQEBUVlZaWVlRU1NTU1NTUjIqKmrjXd319/YcPH0ap3qkBjjgdPnz448ePampqAICIiAgYrGAa6ezsbG1tJRAIY7pLV1dXCBu3NjIyGrFT09jYCL/qWJ+aWRzZrRrEEjA3tRcvXkDJ8Pf351lxZDcSis1BjSKOUEOFhYUnMt8qKCgoLCw8LeKIw+E4XJHC/S6MAJfjLo8vAjEOhxt3SSoqKp4/f/7y5cusrCwsmrKCgoK8vLyEhISMjAwOhyOTyY2NjX19fY2NjcxjUz/88MOqVavWrl07vun16Xpro7Qi3onRO75WLSoqKpSXl9fd3Q0AYDdLiEVyZRZHTIb7+vpGb5rMP3Ku/wC4COYPVF1djZm6zFRXV8MDGRkZdpmQSKT79+/7+flNpGXMnTv3wYMHM6+TgsPhRhGs5OTkjRs3Xr58+bN2q7a2tqWl5ShzfVg3xcfH59mzZ2MqiZKS0oIFC8ZqtcXHx9+8ebO4uBiHw+np6Tk5OZmbm2tra2tpaY3SWlpaWjZv3lxSUmJjY5ORkRETEyMgIGBhYeHq6urk5CQnJ8d5GZSVleXk5EZ82KkE7lt95swZbN/q//mf/+HjfavhPAwAYPiCYhZxxKaqAQDGxsbwALr4sDOwR5cSngKu8xnliTBxHGUheXx8/MDAgIeHBxqvGSuw+WGtceLU19dPtsNpdnb2xo0b1dXVjx07pqKicv369U+fPpWUlPz6669ubm5Lly4dvfH/3//935s3b86dO3f79u3a2tq6urpz58719fV5e3srKyt/++235eXlqGFe7KN0AAAb/ElEQVRMpzhi4ZTZbWwAxVFeXh4OImDWDVz+yW7BHLaCEBMdHkdfXx+PxwMA8vLyRkxQUlICtX4U0yYmJmbVqlWTNGY3szEwMJg9e3ZaWhq3Mnz69OmIPQCu8Pvvv3/xxRerVq0qKysLCwtrampKSUlxc3PjfD3CcK9vVVXVAwcO/PHHH9XV1QcPHkxMTNTT03N0dCwuLkbNY3rEUUFBAR6NuGS4oaHhzz//hH1qlq7i1q1bAQDl5eVwKJ3lxcOV15KSksuXL+eLihAVFd24cSMAICsr69OnT+zqYdOmTewGB0pLS9++fbtz507UqsaBsLDw+vXruTV4X19fX1hY6OjoyPVyVlVV2dvbb9iwoa+v79atW5WVlfv378d+RJwzite3urr6jz/+WF9fHx4eXlBQYGpq6uPjM4P3hOBdccTMnN9//72goID5Wm9vr6en59DQEPjvAUeIh4cHlMuff/6Z5VJsbCycw/Hx8Rnu6MOz7NixAwBAoVBCQkJYLmELdUdZ3RUTEyMpKQnDhiPGgYuLS1VV1ZMnTyaeVUREBB6Pt7e352LxqFRqYGCgvr7+27dvY2JiCgoKtm3bNr4FLZx4fUtKSvr6+paXlx8/fvzq1asEAiEuLg41kimFTqcbGBjAY0VFxeTk5P7+/ra2NmjVM/cjhkfK9fb2hldDQ0OxWM2PHj2CLUZTU7O7u3vEELtHjx4FAISHh487SO+WLVuUlZWVlZVramq4FQmcTqdjjfXy5cvYyYiICPgZcHBwYI4QzgyFQpGXl9+1axeK+D3uSOB0On3x4sUGBgZUKnWUZCyRwIdTW1uLx+MPHz7MxUjgdXV1y5cvFxAQ8PX17ezsnOJY33V1ddAKdnV1JZFIKBL4FLVYBoORmJjI3GXGPobLli3T1dWFx62trcNvJpFIJiYmMMHChQvt7e2xEUYFBYXi4mJ2f3Xi4ghDzwIAiEQit8SRwWA0NDRgzkkmJiZOTk5YMB5VVdWmpiZ2ecI9ZN68eYNEcCLbJKSnp8O+yLjFkUqlrlu3bvbs2R0dHdwSx/v378+ePXvu3LnwZz9BWlpapKSkdu7cOdYbL126JC4urqam9vbtWySOUySODAbj6tWrzNFoTExMoqOjqVTqnDlzAAAaGhrs7m9ra9u8eTOLNbps2bLy8vJR/irPiiODwWhqahru1bR27dqPHz+OnueiRYvY2ZUIzveQ2bdvn4CAwMOHD8cnjgcPHsThcAkJCdzaQyYsLAyHw322AXDO7t27xcTE6uvrx3FvWVmZvr6+hIREcnIyEsfJ5l9Goru7u6OjY2FhoaSk5KJFi+BAYX19PZyaGD7giCEnJ5eYmFhYWJiamtrS0iIrK7tq1aqVK1dOtktjZmbmJOWspKSUkZGRn5+flpbW2tqqoqJiaWnJLgIupKmp6cmTJ8HBwbzj+Mq/hIeHl5eXb9++PS4uDi5C5XyA6NixY+fOnTt58qSLi8vES8JgMIKCgoKCgjw8PK5cucKVeDkw1vexY8fGF+tbV1c3JyfH2dnZ0dHx119/xca1EJPBf963jIzM6tWrma/B+dnRxRFibGyMeT7ODExNTTlf63rt2jUcDvfNN9+g9sSFFikklJiY6Orq6uzsfPz48WPHjkEXq9FpaWnZtWtXSkpKQEDA8ePHuVISf3//M2fOBAQEBAUFcevpJh7rW1JS8uHDhx4eHnv27CEQCJaWlqjNTNZs9SjX3r59y6E4/p1hMBgxMTEbNmyYAfsv8ghSUlKPHz8+ePDg6dOnFy1adPPmzVEWU5JIpKCgIE1NzczMzISEhKCgIG7Z7/r6+nFxcVxUxhcvXqSkpPz4448TDCUlIiJy8+bNW7duYSP+iMm1HIcDLUdBQUFuvYOUlBToSp2TkwMASE9Ph5sumJubsxitfMTr16+JRCKKN8VdBAUFQ0NDt23bdvToUTc3t3379tna2lpaWs6bN6+/v//jx4+PHj2Cfj9ZWVkMBmPXrl2BgYHc/T5xtytAp9MPHz6so6PDlQVUOBxu27ZtqJ1MjzjSaDS4VsTQ0JDdzgFj5e7du8y+WikpKSkpKQCAo0eP8q84xsTEzJkzx87ODjWmyRjcePbsWU5OTlJS0oMHD27fvg3PNzQ0PHjwQEBAwNzc/PTp087OzljIUZ4lJycnLy/v999/R7G++V4cKyoqYNQQ5iXVE+Tq1aszbHNnMpl8586dPXv2sATBRHCR5cuXL1++/MyZM93d3R8+fHj37p2srKyOjs68efNGjLDHm5ibm//5559Lly5FL5TvxRENOHJoC8N1RKgqpgApKSkpKSkdHR0+HShAyjhDxHHbtm3QkYKPPs5TT2xsrLm5OeYqj0AgZr44ioiIsNtqit9RV1dnt0nWmIAe46dPn0bNCIH4G4njDOb8+fNcyQeHw1VVVSHHbwQCieMMgYtyhpQRgZipCKAqQCAQCGQ5ImaIzY5AIHFEzBDGtx0gAoHEEYGYfjo7O8+fP3/lyhUu5kmlUvv6+uBmxXQ6nUwmz5o1i7thq3p6esa3pysCiSMCwRF79+4lk8mysrJczLO4uPjJkyfu7u54PL6xsfHmzZuOjo7c1bLGxka0WAOJIwIxiZw7d47recbExDx58iQwMFBGRubVq1c3b97cu3cv0jLeB81WIxAIBBJHBAKBQOKIQCAQSBwRCAQCiSMCgUAgcUQgEIiphxddeSgUSnV1dWNjo7S0NIFAmD17Ni/XIJVKra2tra+vV1RU1NHRERQURK0KgUCWI5dpaWnx9fVVVFTU09Nbt26dubm5goKChYVFV1cXD9YdjUYLDw9fsGABgUCwtrY2MDBQV1c/f/48WieHQCDLkZukpaW5ubm1trbC/0pLS5PJZBqN9vLly/7+fmlpaZ6quIGBge3btyclJcH/iomJ9ff3NzQ07N+/Pzs7Oz4+HpmQCASyHLnA8+fPN27c2NraqqioGB0d3d3dTSKRBgcHi4uLT548yYNbNQQGBkJl9PLyam5u7unpKSoq2rJlCwDg3r17wcHBqG0hEMhynCgfPnzYvHnz4OCglpbWy5cvsd2HBQUFDQwMDAwMeK3WKisr4TozNze3K1euwEhchoaG8fHxW7ZsefDgQWBg4LZt2xYuXIhaGAKBLMfx4+vr293djcPhkpKSuLsv+yQRFRVFo9HweHxISAhzjEJBQcGwsDABAQEajXb9+nXUvBAIJI7jp6io6P79+wAAZ2dnPT093q8yBoNx69YtAICFhcW8efNYrqqrq1tYWAAAbty4gZoXAoHEcfxcvnwZHhw7dowvqqympqa5uRkAYGRkNGICeL6qqgqbXEIgEHzHNI85MhiMu3fvQoPL0NAQADA4OPjy5UsikchgMCwsLHjQliwsLGQWweFoa2tjRrG1tTVqZAgEEkdW6urqrl69mpqaWldX19/fP3/+/IULF3p7e9va2sKhOiKR2NbWBoWGSqWGh4eHhoYyG1zfffddRETE5O2gffHixerqagCAv7+/vLw8J7d0dHTAA01NzRETYOdra2tRC0MgkDj+FwMDA6dPnw4ODqbRaNjJsrKysrKyx48fW1hYvHjxAofD5ebmwksaGho2NjaZmZnCwsJmZmZdXV0VFRUAgKioKAaDERUVNUnlTEhIyMrKAgB4e3tzKI4kEgkeiImJjZhAQkICHpDJZNTCEAgkjv+hu7vbzs7u9evXAIAlS5Y4Ozurqal1dHTU1dXFx8e/f/9eTU0NWo5w8A6KIJlMPnHihL+/v7i4OPi352N/f/+VK1e8vLyWLVvGI1WGiSM7e1ZYWBiJIwKBxJGVoaEhqIx4PP7SpUvu7u7Mzi5BQUGRkZFffvklSxeVTCYHBAQEBQVhKa2srGJjY11dXWHnd0RxpFAofX19MjIy497zMyAg4NOnTwAARUVFDm/p7OzkUBx7enrGV6qSkpLBwcGpbw2Dg4MkEmnOnDm83GTb29slJCR4cF0AO96/fw8AKCgo6OnpgY2tvLx8Ri6gIhKJ8N/+/n45OTkAQH19fV5e3vSWanytWlFRETC4jb+/P8z97t27n03s4+MDE8vJyZHJZJardDod+lHj8fiOjg7mSwUFBdbW1lATVVVVL126RKfTGVOCl5cX1hRGTJCfnw8THDhwYBz5T3tjQiAQGhoaXLYca2pqQkNDAQD29vZwLd3oYMNzdnZ2kpKSLFdxOJyTk1NoaCiFQiktLV25ciU8/+7duzVr1ggICPj5+c2ePfv+/fve3t6NjY2nTp2aglrDysnOuMPOj289uKmpaWFhIZVKnfoGQaFQurq6eNxybGtrExcXh2MvfMGjR49OnjyZkZHR1dXV3t6+a9euuLg4vnDpHYfluG3btgsXLigpKSkoKKxYseLo0aPOzs7Tbjl2dHSMdXWJgoICl8UxJCQEzsBw6LQIN/MFAGhpaY2YADtfV1cHxZFOp3t5eVGp1JycHGNjYwDAkSNH7Ozsfvrpp61bt+rr6092Xc+aNWtSxRGwdxJC8CNFRUUAABMTE7j7IABg0aJFixcvnnlPCm0dfX39lStXDg0NCQoKamlp8e+TclMcaTRaYmIiAMDY2Njc3HxM4shO17EEdXV18KCwsLC4uHjfvn1QGQEAwsLCISEhixcvDgkJmYJFe5g4sptvwWaZxi2Ovb290zLmCACgUqlCQjy9YS/vl5CFvr4+AACJRBoaGoJthkwmYyPXMwlFRcW0tDRdXd1Pnz4JCws/f/5cW1ubF550HG1GQkKCm42spKSkvb0dfjo4vIVAIDA3oOFgsRExsUhNTQUArFu3jjmZiYmJvLx8dnb2FFQ05vFTXV2N9fSZgY6TAAAZGZlx5F9cXGxiYkKn05HNNZNQV1fHjtHSAN5HV1eXm+LY0NAAD7AlIp8Fs/4qKytHTIBN+GJCk56eDgBgCdWDw+G0tbVfv37d3NyspKQ0qbUGV/KMUmZMHMc3rqSjoxMXF8fuazGpdHd3t7W18Xgwobq6OmlpaR6PD8/M69evr127dvbs2ffv34uKioaGhn7//fdqamozWFnKysoIBALmtjG9kMnkT58+aWhojOkubW1tboqjgIAAi5X3WebOnTt//vyGhoaMjAx2tcwiSbDTqqysPPzL/Pr1ayKRONniqK+vj8fjKRQKu2nlkpISqObsBlJHR1hY2M3NDX26ZwxCQkLXrl3z8vKCY46hoaGbNm0yMzNDNcPjcDPwhI6ODouiccLWrVsBAOXl5dBJihk6nQ5XXktKSi5fvhye7OrqEhAQGD6CANer9Pb2TnaViYqKbty4EQCQlZUF3dZYzOc///wTALBp0ybsa4FAIP7W4qiqqgqttocPH46oj0VFRb/++ivLSQ8PD+iu+PPPP7Ncio2N/fDhAwDAx8cHc6Dp7u4e0YEWyuW4/a7HxI4dOwAAFAolJCSE5RLmTuTp6YmaFwKBxBEAAAQFBX/66ScAAI1Gs7a2vnPnTmtra19fH5FIvHnz5qZNm0xMTMrLy1nu0tPT2717N5TCs2fPYhMRjx8/9vb2BgBoamoeP36c2XAb0QdwaGgIsF/vzA5nZ2cVFRUVFZUxBYmwt7dfv349ACAsLAxb981gMH799dfffvsNAODg4DDiXA0CgeAbuLt6hEajscwjMyMlJXXv3r3hd5FIJBMTE5hm4cKF9vb22AijgoJCcXExc2I4sEqhUFgy+eabbwAA2dnZYyowDEwL2C93YUdDQwPmfmRiYuLk5IQF41FVVW1qamIgEAwGg8GIjo4GAHR2djIYDOhQkZubi6qF9+HyoJiAgMDDhw8DAgJYvFi0tbXPnDlTX1/v5OQ0/C5paelnz55t3rwZAFBTU5OcnFxcXAwAWLZsWXZ2NsvENMwZmxnHaGxsBBNwLRwrKioq+fn5a9asAQAUFBQkJiZWVVUBANauXZubmzvZk0IIBGKy4b4zLR6PDwoKOnbsWElJSVtbm7S0tJqa2mfX7sjJySUmJhYWFqampra0tMjKyq5atWrlypXD5zQIBEJeXh6RSGSZmy8tLcXj8WN1Q8nMzBz3kyopKWVkZOTn56elpbW2tqqoqFhaWqLFLQgEEsfREBERGceyIWNjY8zzkR2Ojo63b9/+448/4KgfpLKysrW11dbWFlusPWWYmpqampqiloRAzDD4z9fE1tZWREQkNjaW2U36/PnzAAAHBwf0RhEIxN9UHKWkpI4cOVJfX+/i4lJdXd3X13f27NnIyEgCgeDu7o7eKAKB4Olu9aQSGBjY0dFx4cKFlJQUeEZfX//hw4dj9eNBIBCIGSWOQkJCkZGRe/fuTUtL6+npMTY2trW1nZGhlREIBBLHMaOrq6urq4teIQKBmAzQ4l8EAoFA4ohAIBBIHBEIBAKJIwKBQCBxRCAQCCSOCAQCgcQRgUAgkDgiEAgEEkcEAoFA4ohAIBBIHBEIBAKJIwKBQCBxRCAQCCSOCAQCgUDiiEAgEKPAi/EcKRRKdXV1Y2OjtLQ0gUCYPXs2L9cglUqtra2tr69XVFTU0dFBMXcRCGQ5cp+WlhZfX19FRUU9Pb1169aZm5srKChYWFh0dXXxYN3RaLTw8PAFCxYQCARra2sDAwN1dfXz588zGAzUsBAIZDlyjbS0NDc3t9bWVvhfaWlpMplMo9FevnzZ398vLS3NUxU3MDCwffv2pKQk+F8xMbH+/v6Ghob9+/dnZ2fHx8cjExKBQJYjF3j+/PnGjRtbW1sVFRWjo6O7u7tJJNLg4GBxcfHJkydFRUV5reICAwOhMnp5eTU3N/f09BQVFW3ZsgUAcO/eveDgYNS2EAj+hsEDNDY2SklJAQC0tLSam5sZPE9FRQU0DN3c3Oh0OnaeSqVu2rQJACAoKFhdXc1AIBiM6OhoAEBnZyeDwcjOzgYA5ObmomrhfXjCcvT19e3u7sbhcElJSXPnzuX9L0pUVBSNRsPj8SEhITgcDjsvKCgYFhYmICBAo9GuX7+OPr0IBOpWj5+ioqL79+8DAJydnfX09PjC1r516xYAwMLCYt68eSxX1dXVLSwsAAA3btxAzQuBQOI4fi5fvgwPjh07xhdVVlNT09zcDAAwMjIaMQE8X1VVhU0uIRAIvmOaZ6sZDMbdu3ehwWVoaAgAGBwcfPnyJZFIZDAYFhYWPGhLFhYWMovgcLS1tTGj2NraGjUyBAKJIyt1dXVXr15NTU2tq6vr7++fP3/+woULvb29bW1t4VAdkUhsa2uDQkOlUsPDw0NDQ5kNru+++y4iIkJERGSSSnjx4sXq6moAgL+/v7y8PCe3dHR0wANNTc0RE2Dna2trUQtDIJA4/hcDAwOnT58ODg6m0WjYybKysrKyssePH1tYWLx48QKHw+Xm5sJLGhoaNjY2mZmZwsLCZmZmXV1dFRUVAICoqCgGgxEVFTVJ5UxISMjKygIAeHt7cyiOJBIJHoiJiY2YQEJCAh6QyWTUwhAIJI7/obu7287O7vXr1wCAJUuWODs7q6mpdXR01NXVxcfHv3//Xk1NDVqOcPAOiiCZTD5x4oS/v7+4uDj4t+djf3//lStXvLy8li1bxiNVhokjO3tWWFgYiSMCgcSRlaGhIaiMeDz+0qVL7u7uzM4uQUFBkZGRX375JUsXlUwmBwQEBAUFYSmtrKxiY2NdXV1h53eSxDEgIODTp08AAEVFRQ5v6ezs5FAce3p6UAtDIJA4/kduoM1448YNuGKEGTwe7+fnh/0Xs63k5OQOHz7MktjFxeUf//hHTU1NfHx8eHj4iBEoqFRqf3//rFmzxldaS0vLsd4yODgID+h0+ogJsPNUKnUcRero6AgICBgaGpr61tDa2trS0qKvr8/LTba8vFxGRoYv/GEhcIBoz5495eXlKioqAICff/55zpw5M1VTGAzGu3fv9PT0YBdw2mlvb//w4QOc7+UcbW1tLotjTU1NaGgoAMDe3n64Mg4HG56zs7OTlJRkuYrD4ZycnEJDQykUSmlp6cqVK1kS1NbW7tixw8nJ6cCBA1NW11g5MZVkp57jWw/e3d2dl5c3LeJIIpFIJBKFQuHl315DQ4OEhMSHDx/4RSzglGNRUVFjY2Nvby/U94aGhpkqjnQ6vbq6mkKhsBuUn2K6uro6OjrG+oPq6+vjsjiGhITAGRgOnRbhqkEAgJaW1ogJsPN1dXWYOMbHx7969aqsrCwrK4vBYDg5OU1lXWNW6iSJo5qaWk5ODurUzBhiYmK8vLzevHkjIyPz6tWrlStXxsXFmZmZoZrhcbjpBE6j0RITEwEAxsbG5ubmYxJHdr0kLEFdXR128uLFi0lJSSIiIl988cXUVxkmjuzmW7BZJl6LJISYFrS1tZcuXQo7SQsWLDA0NISdawSPw03LsaSkpL29HQDA+aAVgUDAjFh24xfDzbQXL14ICAgAAPz9/eH45lSCefxUV1cP7+nD8/BARkZmHPn39/dfvnx5Wvq2HR0dLS0tOjo6vNxkiUSijIyMgoICH/3MnJycgoODS0pKTE1Nt2/fPrPX3TMYjIKCAj09PTwezwvl6ezsbG5u1tXVHdNdBAKBm+KIDaNgS0Q+i7GxMTyorKwcMQE24cssNFAZpwtsZJddmTFxHN/ynrq6umPHjrH7WiD4FxwOB9eD/R2e9M6dOzxVnrGGoDYzM+OmOGKaxW4wbjhz586dP39+Q0NDRkbGiAnKyspYJGna0dfXx+PxFAolLy+PnQUN1ZzdQOro6OjowGF7BAIxjXDTBMO6Y5iiccLWrVsBAOXl5UQikeUSnU6HX1pJScnly5fzSJWJiopu3LgRAJCVlQV9JFnM5z///BMAsGnTpum1cBEIBK+Io6qqqpKSEgDg4cOHI+pjUVHRr7/+ynLSw8MDeon//PPPLJdiY2Ohx4aPj89wR59pZMeOHQAACoUSEhLCcunUqVPwwNPTEzUvBIKP4W7s3NjYWKy/nJCQ8OnTp97e3srKyhs3bjg6OuJwuL179w6/y9vbG94VGhpKo9HgyUePHgkJCQEANDU1u7u7R/xzR48eBQCEh4ePu8BbtmxRVlZWVlauqanh/C46nb5+/XpY5suXL2MnIyIioNA7ODgwRwhHIBB8B5fFkUajrVu3jp0QS0lJ3bt3b/hdJBLJxMQEplm4cKG9vT02wqigoFBcXMzuz01cHGFgWgAADJLGOQ0NDZj7kYmJiZOTExaMR1VVtampCbUtBAJtk/BfczIPHz4MCAhg8WLR1tY+c+ZMfX39iA7b0tLSz54927x5MwCgpqYmOTm5uLgYALBs2bLs7GwDAwMetLhVVFTy8/PXrFkDACgoKEhMTKyqqgIArF27Njc3Fw4vIBAI/mXMM9wcMjg4WFJS0tbWJi0traamxuFK2MLCwtTU1JaWFllZ2VWrVq1cuXL0OQ1/f/+QkJDw8PCpXD7IQn5+flpaWmtrq4qKiqWlJbsIuAgEgr+YrHiOIiIiixcvHutdxsbGmOcjv2BqampqaopaEgIxw0C+JggEAoHEEYFAIKa3Wz2ppKSkwFUoMHpNenr6wMAAAMDc3Hz16tXopSIQiIkzWRMyk4qHh0dcXNzw80ePHg0ODkYvFYFATJz/BzKqICAFKY39AAAAAElFTkSuQmCC"
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"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Bomb-Tester\n",
    "\n",
    "Wir modellieren das eigentliches Experiment mit passenden Quantum-Gates. Halbdurchlässige Spiegel werden Hadamard-Gates. Zwei Qubits: 1 für das Photon, 1 für das Explodieren.\n",
    "\n",
    "Blindgänger sind einfach die \"Identität\".\n",
    "\n",
    "![bombtester-id.png](attachment:bombtester-id.png)\n",
    "\n",
    "Live Bomben sind **CNOT** Gates, da wenn das Photon \"unten\" geht muss es das Event \"Explosion\" verursachen.\n",
    "\n",
    "![bombtester-cnot.png](attachment:bombtester-cnot.png)\n",
    "\n",
    "---\n",
    "\n",
    "Wir wissen aber nicht welche jetzt in unser Gerät reinkommt.\n",
    "\n",
    "![bombtester-hidden.png](attachment:bombtester-hidden.png)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "from random import randint\n",
    "\n",
    "bombType = randint(0, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'10': 1}\n"
     ]
    }
   ],
   "source": [
    "from random import randint\n",
    "\n",
    "q = QuantumRegister(2)\n",
    "c = ClassicalRegister(2)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.h(q[0])\n",
    "if bombType == 0:\n",
    "    circuit.iden(q)\n",
    "else:\n",
    "    circuit.cx(q[0], q[1])\n",
    "circuit.h(q[0])\n",
    "circuit.measure(q, c)\n",
    "\n",
    "result = execute(circuit, backend, shots=1).result()\n",
    "print(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Bomb Tester v2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Wie könnten wir die Wahrscheinlichkeit des Explodierens noch weiter verringern?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "ε = 0.1\n",
    "n = int(1 / ε)"
   ]
  },
  {
   "attachments": {
    "bombv2.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "![bombv2.png](attachment:bombv2.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Für Blindgänger"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=2706x213 at 0x7FD684B9F208>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(2)\n",
    "c = ClassicalRegister(2)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "for i in range(0, n):\n",
    "    circuit.u3(np.pi/n, 0, 0, q[0])\n",
    "    circuit.iden(q[0])\n",
    "circuit.measure(q, c)\n",
    "circuit_drawer(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = execute(circuit, backend).result()\n",
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Für Live Bomben"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dDVUb8iLmbLJDXqoA5EXM2WSHvFQByIuYs8kOeakCkBcxZ5Md8lIFyCEvFYaFIC+EEORFGSAvYs4mO+SlCkBexJxNdshLFYC8iDmb7JCXKgB5EXM22SEvCiIuLm7fvn1z5861srJiuhYg9HTYbN26NTk5WVdXd9q0adLNUFRURK2Cw2azXVxcaKlKDqjOSlJ+5m1sbKgTISEhZS+dNGnS9+/fHz9+XDnV0U+w5JqDg0PJRbrKioiIoBrMpVhi/cGDB9SJ8p60ZLzZJcLUPVMO11H2XdjZ2amrq5MSfzJmcblchepXQ15knE18yIsUkBehA5AXgrwIg7wIHYC8EORFGORF6ADkhSAvwqhgXioMC0FeCCHIizDIi1DIC0FehEFehEJeCPIiDPIiFPJCkBdhkBehkBeCvMjLihUrdHR0Vq5cyXQhQEjZDhsej3fv3r1x48a1bdvW2dl5xYoViYmJhJAlS5Y0btzY1tY2Pz+/1CY/fvzYuXMnIWTGjBk1a9aUogg+n7948eK4uDhCyLhx48zNzaWYpEIHDx50c3Nzc3P79esXXXNSq64RQsrrFxOcT61qXkrPnj3r1Klz4sQJuuqpbHI4qCEhJDQ0lBDC4XDKa9KU8WYXn3zumULJ4TrKvgstLa3mzZuT//3JmJKUlLRs2TIbGxtNTU0Oh2Ntbb148WKqeZlZyIsss0kEeREf8kKQF+RFbMgLQV6QF7EhLwR5QV7Epsp5qTAsBHn57/nIC/KCvCAv4kNekBfkRXzIC/KCvIgPeUFekBdFEBgYeOHCBQ8PDwMDA6ZrAUJKddjEx8d369bNxcXl7NmzQUFBjx8/3rJlS5MmTZ48eXLr1q3w8HA2m112Ba1Vq1bl5eVVq1ZN0rYpLpf78+fPR48eubq67t+/nxDSvHlzT09PGa9SeS5cuLBz586dO3dmZGTQNadgKm1tbaEDdHV1qRNZWVllL2Wz2RMmTLh69Wp6ejpdJVUq8Z+xxB9Z1tevXwkhLVq0KO+IYzLe7BWS8z1TqMq+jnTtglp47devXzQ2rknkwoULVlZW27dvj4iI4HK5PB4vKipq9+7d1tbWp0+fZqQkAeRFbpAXMSEvyAtBXsSGvCAvBHkRG/KCvBDkRWwqnpcKw0KQF0II8vI/yAtBXpAXsSEvBHlBXsSGvBDkBXkRG/JCkBfkRTG4ubmZm5vPmTOH6ULg/6gLTkVGRnbu3Dk5OZkQoq2tPXDgQFtb27i4uBMnTgwaNIhaQcvBwaHU9kFBQWfOnCGELF++XKK2KV9f38GDB/N4PME5PXr0OH36tL6+vizXR84EmS/v4VVDQ4M6UV7mJ06cuHnz5vPnz8+aNasSCqQTl8ulDlVIhN0TSqF6QmvWrCn68IdlZWRkUHfCBg0aiBhDnZD6ZhdBQe6ZlXodadxFvXr1qBNfv37t2LGjdJVI7cKFCyNHjhR6UX5+/oQJE/h8/oQJE+RcFQV5kXQqWSAv4kBekBcK8iIO5AV5oSAv4kBekBcK8iIOFc+LOGEhyAshBHkhhCAvyMv/IC/iQF6QFwryIg7kBXmhIC/iQF6QFwrywrgrV648f/784sWLmpqaTNcC/+f/1rDJyMjo0aMH9WDRsWPH6Ojoc+fOeXh4HD169MyZM1R7DSnT30etSUUIMTU1XbBggUQ7LioqKvmgwGKxnJyc9PT0ZLkyoq1Zs8bHx8fHx8fY2JiuOQVrz1SY+ezsbKEDGjVq1LFjx+PHj9NVUuX58uULdS0aNmxoZGQkYmR+fj51JLwKD39YFnVUMkJItWrVyhsj+80ugvzvmUJV6nWkcRfVq1enTiQkJEhXhtSSk5OnTJkieszMmTOZWq4QeZEn5KVCyAtBXv4HeakQ8kKQl/9BXiqEvBDk5X+QlwohL+KEhSAvhBDkBXlBXkpAXiqEvCAvAshLhZAX5EUAeakQ8oK8CCAvzCoqKlqxYoWjo+PQoUOZrgX+v//rsFmwYMG3b98IIZMnT378+LGpqalgxMiRIy0sLKjTpToBr1279vz5c0LIunXrdHR0JNpxx44d/fz8/Pz8Ll26tHr1akNDw5UrV1pZWb1//768TQoKCtLT0/l8vkQ7EujWrdvIkSNHjhxJY3NfYWEhdaLkY1xJgvOLi4vLm2Ty5MlBQUFhYWF0VVVJxF9I7cOHD0VFRUJH5ufni+5hFDw4injSouVmL48U98zKUKnXkcZdCJ6xpG5NldqePXtycnJEj8nPz9+1a5d86ikFeZF0KlkgLxVCXgjy8j/IS4WQF4K8/A/yUiHkhSAv/4O8VAh5EScsBHn57/nIiwjIC0Fe/ns+8iIC8kKQl/+ej7yIgLwQ5OW/5yMvIiAvBHn57/kqm5dKdeDAgcjIyB07dkj6kzCoVCxCyIcPH6gD5llZWXl5eQkawf5vBItlZWVFCNHW1m7atKng/MLCQnd3d0KIjY3NpEmTJN2xiYmJi4uLi4vL0KFD//nnnzdv3lhbW//8+dPJySk0NLTU4A8fPvTo0UNbW7tWrVoWFhbe3t5S99nQS9AqKAh/KYLzBcEua9iwYbq6uoq/jA21kBoR4xmr7Eg+n3/8+HE7OzsdHZ1q1arVr19/06ZNeXl5ZbcVPPCJuMVoudnLI9E9s/JU6nWkcRcMPmPdvHlTnGE3btyo7EqEQl6Ql7KQl/IgL8hLWchLeZAX5KUs5KU8yAvyUhbyUh455EWcsBDk5b/nIy+iIS/IC0FekBfkpQTkpULIC/IigLxUCHlBXgSQFwZlZGRs2LBh2LBhVey4V1WAOiFk586d1H8OHTqkpaVVdtDnz58JIa1atSrZfOPl5RUVFUUI2bx5s7q6uox1mJub+/j4tGnT5s+fPwsXLnz06JGgFSsoKMjJyYnFYi1evLhmzZpXr16lVh5bv369jDuVnWA5HFkyr6enN2zYsHPnzu3YsYPFYklXyZMnT379+iX+eOrxhercFJOgJ7TCgxqWGsnlckePHn3x4sUePXpMnjxZV1f38uXLq1atevr0qZ+fH5vNLrmtOG2htNzsYhJxz6xUcriOtOxC0mcsHo8XFhZ26dIlCQoVhs/nR0ZGijMyNjb2woULUieLQh0pD3mpEPIieheS5oXP53/8+FHp8kKt6Ii8VAh5Eb0LKd4RhYaGKl1efv/+TST8eQfygryUJUVePnz4oHR5SU1NJYRwuVzxN0FekJeypMjL+/fvlS4vP3/+JIqXFzF/A4q8EGXOS3BwsNLlJSkpiSAvYkBeRO9Ciry8e/dO6fJCHQqkvB+XC4W8IC9lSZGXoKAg2f8ucs7Ljx8/CPIiBuRF9C6kyMvbt29lP4qQnPNCHWIFeakQ8iJ6F1LkJTAwUFtbW8zBUnyxLlpBQUFsbGx2dnZGRkZWVlZxcXH16tU5HE61atXq1q1bu3ZtQsjGjRszMzM3bdoky44KCwsjIyNlf+VJCx6P9/nz52bNmjFdyP9JTU0tKiqqU6eORFu1aNFCvaioiOoxtLOzc3Z2LjsoPj6eOmJZycep/Pz8f/75hxBSs2bNX79+HT16VHCR4E1pQkKC4PzJkydX+AjbunVrBweHwMDAJ0+eBAUFtW3blhDC4/GmTJlSXFz86tUre3t7QsiyZcv69OmzadOmESNGMP4HEGS+vLhSb9RJRQ8rhYWFGhoaUj8UFhYW9u3bNzc3V9INw8PDxRyZm5tLHcdKXV29ZcuWogdTz1iWlpaGhoaEkH379l2+fPnUqVPjx4+nBkyZMqVnz54PHjzw8fEZO3ZsyW3FuRHoutnFJPSeWdnkcB1p2YWkq0kVFRX5+Pj4+PhItJUseDzeyJEjaZlKzNeUBHlBXsohaV64XO6///7777//SrSVLGjMC9WDKw7kBXkRStK88Hi8M2fOnDlzRqKtZIG8IC9EafNCCDl16tSpU6ck3UpqyAvyQpQ5LydOnDhx4oSkW0mNxrxER0eLOVI+eRHzEw/khShnXqjBx44dO3bsmPhbyYjGvMTExIg5EnlBXoSSKC/UN4hHjhw5cuSI+FvJiMa8xMXFiTkSeUFehJIoL9SXTd7e3t7e3uJvJSMa80L1DYgDeUFehJIoL9QvuA4ePHjw4EHxt5IRjXn5/v27mCORF+RFKInyQrXseHl5eXl5ib8VkeSL9bIyMjICAgKePn0aGhoaGRn5/ft3EY1l1apVq1ev3pcvX5ycnPLz8/l8vtRdBL9//6YONyZt4VDakCFD1N+9e5eZmUkIcXJyEjro9evX1IlSHTYZGRmEkPT09OnTpwvd8OvXr9OmTaNOT5w4UZwexlatWlELdr1//556XPjw4UNoaOjcuXOp9hpCiIaGxtatW1u3br1161Z5fo8iFPWITAiJjo7u1KlT2QGCj7Rq1KhR3iQZGRlXr15dvHix1NngcDgJCQlpaWnib5Kent6mTRvxW5S+fftGvZw1MTERutCRQEhICHWtXVxcqHNcXV1TUlIET1eEEDU1NVdX14cPH7548aLUJ9SC7lpq1RChaLnZJVL2nlnZ5HAdadkF9ehBSjz/iaapqTlnzpzZs2dLVKpQvXv3joiIqHCYhYXFw4cPZdzXr1+/HB0dbW1txRyPvCAvQkmaF3V19UWLFs2YMUOiUoWSZ15+/vzZvn37Jk2aiDkeeUFehJI0LywWa9myZYJXnrKQZ16SkpI6duzYuHFjMccjL8iLUJLmhRDi4eEhxXF+y5JnXuLj47t06WJjYyPmeOQFeRFKirysXbu25J1BavLMy/fv352cnBo1aiTmePnkRZywEOTlf+dTJ5QoL9QnWuvWrSv1ICkdeeYlNja2e/fu1tbWYo5HXpAXoSTKC/Uh+YYNG0aNGiVhsULIMy9RUVG9evVq2LChmOORF+RFKInyQq0nQf3cWsJihZBnXiIiInr37m1hYSHmeOQFeRFKorxQBxvZunXr0KFDJSxWCHnm5cuXL3379jU3NxdzPPKCvAglUV44HA4hZMeOHYMGDRKzSEm/WBeIi4vz8fG5cuXKhw8fuFxujRo12rRp07t3b2tra2tr65o1a+rq6lJLJRUVFWVnZ2dnZ8fFxUVFRZ0+fVpNTe3x48fNmzevVatW3759R4wY0aNHj5JHHBKHiYlJ165d16xZI2nllaSgoEBTU5PpKv4Pl8vl8/mSHqypbt266oIu2vIWwBF02JQ8mh2bzbazsxM6vrCw8MuXL4QQXV1dKysriQoSBEPQq3j37l1CSK9evUoOa9mypaGh4fPnzyWavDK0aNGCOlHeM40g802bNi1vkvPnz+fn50+cOFGWSmrUqCHRI5dEh5QihKSkpFAnBA9z5RG0PQ0fPpw6YW1tvXHjxlLDqMMilF2tTpwnLVpudomUvWdWNjlcR1p2Ifgzif8Jda1atcR/Ky7C8OHDN2zYIM4w2Xenq6sr0XjkhTqBvJSiInkR/a6mLOSFOoG8lCJFXgwMDJQuL5K+HUJeqBPISykqkhdJF51GXqgTyEspKpIXSZfqkU9exPyEGnkhypwXQ0NDpcuLRMfrJMgL8lIOFclLfn6+ROORF+oE8lKKFHkxMjJSurxIesAB5IU6gbyUoiJ5Ef+YPhTkhTqBvJRS2XmR9Iv1wsLCc+fOHT169OXLl+rq6j179ty5c2eXLl1atGhR4WdcXbp0CQwM3Lhx444dO8aPHx8QEPDkyZOrV6+ePn3awMBg1KhRCxYsEL8HQ01NrXr16rQ8MoAAi3rgIISkp6cLHUF12BgaGpbsH9TX1/9Qjjt37lBj2rVrJziT6v3JzMwUfSA9QUJMTEyoE1TzY/PmzUsOU1NTs7Gx+fbtm2BVKKY0a9aMarN69+6d0AEfP34khNSoUUPEr2GOHz/euXNn8X8uwwjBuluiXxqmpaVRz1idO3cu2WZYanmegoKCs2fPEkIGDhxYagbBA5+g2bAsWm72kqS4Z1Y22q9jJe1Cit+A0mX+/Pmij39JCNHT01u0aJF86ikJeaFOIC+lIC9CIS/UCeSlFORFKOSFOoG8lIK8CIW8UCeQl1KQF6HkkxdxwkKQF0II8oK8IC8lIC8VQl6QFwHkpULIC/IigLxUCHlBXgSQF0llZWXt2LGjYcOG1ALSBw4cSEpKunXr1oIFC+zt7cX8CZmbm5u5ufmcOXMMDQ0HDhy4d+/eb9++PXv2bMSIEadPn7axsRk6dCh1EDRgBMvIyIg6FRISUvbiHz9+UItNOTg4SH0MI4Hbt2///fff5V1aWFgoWC+nS5cu1Amqh8bMzKzUYGp5vcjISBlLkpGWlla/fv0IIf7+/oKuSQHBrTdw4MDyAhMWFvb27dvJkydXdqkysra2ppbMio2NLe/phM/nT548OSUlhcPh7N27t7w7THJy8pAhQ+Li4saMGdO+fftSlwrWUhLRFir7zV6KFPfMykb7daykXQj+TGVDWtmMjIzOnDkj4nFJTU3t1KlTxsbG8qyKgrxQp5GXUpAXoZAX6jTyUgryIhTyQp1GXkpBXoRCXqjTyEspyItQ8smLOGEhyAvyQghBXpCXEpCXCiEvyIsA8lIh5AV5EUBeKoS8IC8CyIv4eDze6dOnLS0t3d3dW7Zs+fLly4CAgJkzZxoYGEg0z5UrV54/f75169aSR1NisVidOnXy8vKKj4/ftWvX27dv27Vr169fv9jYWLqvB4jh/fv3gtPBwcH8ErKzs52dnamL/v77b754BH9IZ2fnUhetXLmSELJly5bi4uKyG+7fv5/a0MHBgcfjUWeampqyWKyyg6dNm0YIuXPnjphVyc7V1bVLly5lz79x4wZV9uLFi0tdRBVJCPH39y9v2kWLFunp6WVnZ9NbbYVSU1MJIadOnRJ/kwEDBlBXZ8OGDWUv5XK5ggf9ffv2CZ1h2LBhTZo0oQ6IMGXKlNzcXKHDqOetVq1aiShGups9Nzf30KFDjx49EtzBKFLcM8tatWoVNezBgwciKs/Ozvby8rp+/bqIqWS5juLPL/UuhA5LTU2tcHd8Pl9LS2vjxo3ijBTTzZs3a9asWfaRrUaNGr6+vnTtJTk5mRBy9uxZ8TdBXpCXsiTNi4aGxpYtW8QZKSb55CUhIYEQ4uPjI/4myAvyUpakeWGxWNu3bxdnpJjkkxdqNdeLFy+KvwnygryUJVFeqEOV7969u8KR4pNPXqi3mVeuXBF/E+QFeSlLorwUFhYSQjw9PSscKT755CUqKooQcv36dfE3kU9exAkLH3lRzrzk5eURQry8vCocKT755CU8PJwQcvPmTfE3QV6Ql7Ikykt2djYh5NChQxWOFJ988vLp0ydCiJ+fn/ibIC/IS1kS5YX6uvTIkSMVjhSffPJCLbdw79498TdBXpCXsiTKS1paGiHk+PHjFY4Un3zy8uHDB0LIw4cPxd8EeUFeypIoL1J8S17hJq9evWrdujUhZNCgQeHh4eLPXEphYaG1tbWjo6Po262wsNDLy8vAwEBbW3vNmjV5eXnljTQ3N58/f77U9YBQhMfjCY7BZGxsfOvWrby8vF+/fl25cqXkwczE72UR0WETExNDLVrVvn17Pz+/oqIi6nwej3f48GHqgUxdXf3ly5eCTXR1dTU0NMruZdasWUTCLySGDh1qZmZmZmYWExMj/lYC5XXY8Hg8FxcX6ip7e3sLzty3bx/VFNm/f//yMlBQUGBoaDh16lQp6pGRFI8d7969o472xWKxrl27VvJKxcfH9+jRg7oR1q1bV94Mffv2bdWqFfV8PHr06OjoaKHDunXrRgjR0NDIz88vbyrpbvaFCxdSm+zfv7/k+VLcMym/fv1K+p8FCxZQk1+4cEFwZmZmZqlNqLsuEeODWumuo/jzS72Lklq2bEkIMTQ0rHBfFNo7bPh8flpa2saNG9u2bUsI0dXVdXBwWL9+/e/fv2nchRQdNsgL8lKWpHmhvcOGL5e8SNFhg7wgL2VJmhfaO2z4/8tLmzZtCCF6enqVkRcpOmyQF+SlLInyUhkdNvz/5YX6HKGS8iJFhw3ygryUJVFeKqPDhi+XvEjRYSOfvIgTFj7yopx5qYwOG/7/8tKqVavKy4sUHTbIC/JSlkR5qYwOG/7/8kJVUkl5kaLDBnlBXsqSKC+V0WHD/29e9PX1KyMvUnTYIC/IS1kS5aUyOmz4/8uLvb195eVFig4b5AV5KUuivNDbYVNcXLx27Vo2m21tbX379m3x5xRqz549hJDnz5+LMzgtLW3+/Pnq6uq2trYhISFCx6DDpjIQPp9/5cqVkgtkUY9KhBBHR0dbW1vqtJg/IOaL7LDh8/nv37+vX78+NcDQ0LBz584uLi6GhobUOWw2+8SJEyXHGxgYqKmplZ1n6tSpRMI3wIL1siIjI8XfSqC8Dhs+n//jxw/B4e5atmw5ZMgQKysr6r8NGjRITEwsb84rV64QQso+DsqBFI8dfD7/4MGDgvtJhw4dVqxYsXr16oEDB2ppaRFCdHR0zpw5U+EkXC736dOnBgYGhoaGHz58KDtAcODGN2/eiJhHipud+lKZELJs2bJSF0l6z6Q4OjoSkdzd3Utt0rVrV+qiJk2aiL6hpLuOEs0v3S4E8vPzqadzoWEXqjI6bATFkDKvRegiRYcNH3kpA3mRNC+V0WFDqaSP8yhSdNjwkZcykBdJ81IZHTaUSvo4jyJFhw0feSkDeZEoL5XUYUOppI/zKFJ02PCRlzKQF4nyUkkdNhTp3pKLSYoOG75c8iJmWPjIixLmpZI6bCjSvSUXkxQdNnzkpQzkRaK8KOBbcjFJ0WHDR17KQF4kyosCviUXkxQdNnzkpQzkRaK8KOBbcjFJ0WHDR17KQF4kyguNHTbfv3/v2LGjmprasmXLCgoKxJ9QqPT0dENDw2HDhkm01atXrywsLLS1tQ8ePFj2UnTYVAZC/XPy5EltbW1BzFq2bHns2LHi4uLatWsTQiwtLcWfUXSHDZ/P//Pnz7x583R1dUtl29bW9vHjx6UGW1paEkLK3iPHjRtHxG7golRehw2fz09MTHRycip1jXr27JmcnCx6zsaNG4vuuaskUn+c5+vra25uXuqacjicKVOmfP/+Xfx5rl69St3TuFxuqYvu3LlDTVtht4SkN/vdu3dtbGxsbW1jY2PLXirRPZMixTPWnTt3jIyMLC0tGzVqVPa6y34dJZ1fil0IUAc+JIRs3bpVnB3xVazDho+8/BfyImleVKrDho+8/BfyImleVKrDho+8/BfyIlFeVK3Dho+8/BfyIlFeVK3Dhl/5eRE/LHzkRRhFzouqddjwkZf/Ql4kyotiviUXh3QdNnzk5b+QF4nyophvycUhXYcNH3n5L+RForwo5ltycUjXYcNHXv4LeZEoL3R12AQEBBgYGNSuXVuKF0hCubm5cTiciIgISTfMyMgYNWoUIWTy5MmCpY8o6LCpDP+3XM2ECRMGDBjw4cMHPT29xo0b6+npEUK+f/+ekpJCCHFwcBAdy5LMzc35fL6IAdWqVfP09Ny0aZOfn19kZOSvX7+MjY07derUrl07FotVanCNGjUIIT9+/KBabQTi4+MJIdWrVxe/sKdPn4o/WFKmpqaPHz8ODg6+f/9+ampq3bp1u3XrZmdnJ2KTxMREPz+/LVu2lFxASPH179+/d+/e/v7+b968+f37t4GBgY2NTa9evfT19SWap1+/ftra2u/fv//48WOpG6pLly6ampoFBQVv374VPYmkN3uvXr2+fv1a3qUS3TMpr1+/Fl1hWb1796Zi5erqyuPxyptZQNLrKOn8UuxCICgoiDrRq1evCgerJuSlJOSFOoG8lAd5KQl5oU4gL+VBXkpCXqgTyEt5kJeSkBfqBPJSnsrOi/hhIcgLHfNLsQsB5KVCyEtJyAt1AnkpD/JSEvJCnUBeyoO8lIS8UCeQl/IgLyUhL9QJeebl5s2bI0aMaNq06Y0bN0xNTWWfMC4ubt++fXPnzrW2tpZ02+rVq587d+6vv/5auHBhcnLyxYsXy3ZoAZ1EdN9cunSJGlNJv3EUB9VvVbbzy8jISFNTMzs7W26ViF7DRgqbN29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      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=3019x666 at 0x7FD684B9F860>"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = QuantumRegister(2)\n",
    "c = ClassicalRegister(10)\n",
    "\n",
    "circuit = QuantumCircuit(q, c)\n",
    "circuit.u3(np.pi/n, 0, 0, q[0])\n",
    "for i in range(0, n-1):\n",
    "    circuit.cx(q[0], q[1])\n",
    "    circuit.u3(np.pi/n, 0, 0, q[0])\n",
    "    circuit.measure(q[1], c[1+i])\n",
    "circuit.measure(q[0], c[0])\n",
    "circuit_drawer(circuit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "result = execute(circuit, backend).result()\n",
    "plot_histogram(result.get_counts(circuit))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}