QFT.ipynb

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   "source": [
    "# Quantum Fourier Transform\n",
    "## Franziska Brändle, Luan Wei, Turan Orujlu, Tim Brockmeyer\n",
    "### Universität Osnabrück (Oct. 2018)\n",
    "\n",
    "For our Quantum Fourier Transform implementation we use Hadamard gates and Control Unit Gates (here Cu1) to realize the phase shift. As we use 6 qbits, we have phase shifts up to R64.\n",
    "An input with pure states corresponds to a column vector with one \"1\" and sixty-three \"0\"s. Multiplying this input vector with the QFT Matrix picks out just one column of the QFT Matrix. Since the matrix has only non-zero entries the resulting vector also consists of non-zero entries, which means that the output is a superposed state, and we get a probability distribution with no discernible peak. In order to avoid this situation we have to manipulate the input, i.e., the input has to be in a superposed, a.k.a. non-pure state. To achieve that goal we use Pauli matrices to rotate the Bloch sphere of every qbit of the input around the x-axis. The goal is to achieve an input vector which after multiplication with the QFT Matrix, results in an output vector that has mostly \"0\" entries, meaning that the elements of the input vector scale and cancel the elements of each row vector of the QFT Matrix."
   ]
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  {
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   "execution_count": 27,
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   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister\n",
    "from qiskit import execute\n",
    "from qiskit import Aer\n",
    "from qiskit.tools.visualization import circuit_drawer\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "q = QuantumRegister(6)\n",
    "c = ClassicalRegister(6)\n",
    "qc = QuantumCircuit(q, c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.extensions.standard.rx.RXGate at 0x78cdc8ce80>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Rotating Bloch Sphere using Pauli matrices\n",
    "qc.rx((np.pi/24),q[0])\n",
    "qc.rx(-(np.pi/20),q[1])\n",
    "qc.rx((np.pi/16),q[2])\n",
    "qc.rx(-(np.pi/12),q[3])\n",
    "qc.rx((np.pi/8),q[4])\n",
    "qc.rx(-(np.pi/4),q[5])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit._instructionset.InstructionSet at 0x78cdbc5470>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for i, qubit1 in enumerate(q):\n",
    "    #Hadamard gate\n",
    "    qc.h(qubit1)\n",
    "    p = 2 #exponent \n",
    "    for j, qubit2 in enumerate(q):\n",
    "        #Add control gate to remaining qubit\n",
    "        if j > i:\n",
    "            qc.cu1((2/2**(p))*np.pi, qubit2, qubit1)\n",
    "            p += 1\n",
    "qc.measure(q,c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
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Plk2URmpqqpqa2s8//yzWUdevXzcwMNDT04uIiODZhak9hBBCqEVjAsDkyZND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\njx517NgxIyOjf//+MTEx1UvS4dh5PJ67u3v1XrfXrl2rPsigk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      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=1694x666 at 0x78CDB74400>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit_drawer(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "backend = Aer.get_backend('qasm_simulator')\n",
    "job = execute(qc, backend, shots=10000)\n",
    "result = job.result().get_counts(qc)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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a6sprAdxJ9Zp//uv9fYCnAodHxPOAF2d3Zyc9BTgOsGHW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x78cc355390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "x,y = np.transpose(list(result.items()))\n",
    "y = [int(i) for i in y]\n",
    "fig, ax = plt.subplots(figsize=(30, 10))\n",
    "plt.title(\"QFT results\")\n",
    "plt.bar(x,y)\n",
    "plt.xlabel(\"Qbit States\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "plt.xticks(rotation=90)\n",
    "plt.rc('axes', titlesize=32)\n",
    "plt.rc('xtick', labelsize=20) \n",
    "plt.rc('axes', labelsize=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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