From 3ee7296deb0abe92f1a788aeeca3790e66440a8a Mon Sep 17 00:00:00 2001 From: Russell Rundle Date: Fri, 10 Nov 2017 15:48:01 +0000 Subject: [PATCH 1/6] adds a wignerfuntion Jupyter notebook to qcvv --- 3_qcvv/blochSphere.png | Bin 0 -> 246455 bytes 3_qcvv/exampleCircuit.png | Bin 0 -> 73933 bytes 3_qcvv/wigner_functions.ipynb | 716 ++++++++++++++++++++++++++++++++++ 3 files changed, 716 insertions(+) create mode 100644 3_qcvv/blochSphere.png create mode 100644 3_qcvv/exampleCircuit.png create mode 100644 3_qcvv/wigner_functions.ipynb diff --git a/3_qcvv/blochSphere.png b/3_qcvv/blochSphere.png new file mode 100644 index 0000000000000000000000000000000000000000..5617308d75f321e67f099e576974a72ce32ddf47 GIT binary patch literal 246455 zcmeFZWmJ~k)&@$abSd2+DIg&IkkTOCjdVzNNrxaQozmT%A|)w}bT`t?x#8j6-~RR< z(&*vBdKKH%mT5HBNuQ}Jk5P8}6C`kB75D*Y365=8X5D+lvz~3PRIN%fe4-;h& z5HE1dgoWiLgoR1v?QA}pSsFt?h=;_f!Yjq};ik3aphwF?VMJlNVdaP?;1?=w>rqfb 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"cell_type": "markdown", + "metadata": {}, + "source": [ + "# Wigner Funcitons\n", + "---\n", + "### Contributers\n", + "Russell P. Rundle$^{1,2}$, Todd Tilma$^{1,3}$, Vincent M. Dwyer$^{1,2}$, Mark J. Everitt (m.j.everitt@physics.org)$^{1}$\n", + "\n", + "1 Quantum Systems Engineering Research Group, Physics Dpartment, Loughborough University, UK\n", + "\n", + "2 Wolfson School, Loughborough University, UK\n", + "\n", + "3 Tokyo Institute of Technology, Japan\n", + "\n", + "## Introduction\n", + "\n", + "In this notebook we demonstrate how to create Wigner functions by either using the full state or by measuring points in phase space. We will show the different methods which can be used by inputting an arbitrary state or just measuring the state on both the simulators and the IBM Quantum Experience.\n", + "The spin Wigner function presented here is based on work from [*T Tilma, MJ Everitt, JH Samson, WJ Munro, K Nemoto, Phys. Rev. Lett. 117, 180401*](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.117.180401) and can be calculated analytically as\n", + "\n", + "$W(\\boldsymbol{\\Omega}) = \\mathrm{Tr}\\left[\\hat{\\rho} \\; \\hat{U}(\\boldsymbol{\\Omega}) \\hat{\\Pi} \\hat{U}^\\dagger(\\boldsymbol{\\Omega})\\right]$\n", + "\n", + "Where $\\hat{U}$ is the rotation by the Euler angles and $\\hat{\\Pi}$ is the parity, such that\n", + "\n", + "$\\hat{\\Pi} = \\frac{1}{2} \n", + "\\begin{pmatrix}\n", + "1+\\sqrt{3} & 0\\\\\n", + "0 & 1-\\sqrt{3}\n", + "\\end{pmatrix}$ \n", + "\n", + "for one qubit. The Hilbert space for a single qubit is spanned by the Euler angles where $\\theta$ (the elevation) and $\\phi$ (the azimuth) thus the full Wigner function for $n$ qubits is given by $2n$ degrees of freedom. \n", + "\n", + "When there is more than one qubit, we take the kronecker tensor product of the $\\hat{U}$s and $\\hat{\\Pi}$. In the following examples, various methods of extracting information from 2 entangled qubits from four degrees of freedom are shown.\n", + "These methods include taking an the equal angle slice, where we set the angles $\\theta_0 = \\theta_1 = \\theta$ and $\\phi_0 = \\phi_1 = \\phi$. We can also set some angles to be constant values as we plot the remaining angles against each other, an example of this can be seen when plotting the plaquettes where we set $\\phi_0=\\phi_1=0$ and we plot $\\theta_0$ against $\\theta_1$. Finally we show how we can simplify the Wigner function by just taking a 2 dimensional curve around the function, this is shown when we look at the equal angle equatorial slice where we take $\\theta_i=\\theta=\\pi/2$ for all $\\theta$s and $\\phi_i=\\phi$ for all values of $\\phi$ where $0\\leq\\phi<2\\pi$.\n", + "With this visualisation methods we show how these points in phase space can be measured directly by using the Wigner function tomography module and it works by using the u3 gates to rotate to points in phase space. Below is an example for measing points for a Bell-state, the first two gates create the Bell-state and the two u3 are example rotations to a point in phase space.\n", + "\n", + "\n", + "# Wigner Functions for Arbitrary States\n", + "\n", + "first we will look at the Wigner function tomography module and show how we can create the spin Wigner function on a Bloch sphere for an arbitrary state. All that is necessary is to input a density matrix or state vector for a known state and then set the desired resolution for the plot (if no resolution is set, the mesh of the sphere will default to 100x100)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Checking the version of PYTHON\n", + "import sys\n", + "if sys.version_info < (3,0):\n", + " raise Exception('Please use Python version 3 or greater.')\n", + "import numpy as np\n", + "\n", + "# importing the QISKit\n", + "sys.path.append('.../...')\n", + "from qiskit import QuantumCircuit, QuantumProgram\n", + "import Qconfig\n", + "\n", + "# import tomography library\n", + "import qiskit.tools.qcvv.tomography as tomo\n", + "\n", + "#visualization packages\n", + "from qiskit.tools.visualization import plot_wigner_function, plot_wigner_data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Wigner Function for an entangled Bell-state\n", + "We begin by creating the density matrix for a Bell-state (note that the matrices and state vectors need to be created in numpy matrix format), $\\left(|00\\rangle+|11\\rangle\\right)/\\sqrt{2}$, which is given by\n", + "\n", + "$\n", + "\\frac{1}{2}\n", + "\\begin{pmatrix}\n", + "1 & 0 & 0 & 1 \\\\\n", + "0 & 0 & 0 & 0 \\\\\n", + "0 & 0 & 0 & 0 \\\\\n", + "1 & 0 & 0 & 1\n", + "\\end{pmatrix}\n", + "$" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.5 0. 0. 0.5]\n", + " [ 0. 0. 0. 0. ]\n", + " [ 0. 0. 0. 0. ]\n", + " [ 0.5 0. 0. 0.5]]\n" + ] + } + ], + "source": [ + "density_matrix = np.matrix([[0.5, 0, 0, 0.5],[0, 0, 0, 0],[0, 0, 0, 0],[0.5, 0, 0, 0.5]])\n", + "print(density_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This density matrix can then be put into wigner_function which plots the Bloch sphere Wigner function for the equal angle slice, i.e. where $\\theta_0 = \\theta_1 = \\theta$ and $\\phi_0 = \\phi_1 = \\phi$" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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v/MIvyMzujGTyPwBsg0lOphDQPrjrF7mW00gmPwggjkQijgcffLju/a6G9nOy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\nPRdy3+FYrlZgueDT6cDvB1Uhp37xf92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oiypaT64IbUuhQXK06PWRaLAdLNup4oInjqBo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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "wfv.plot_wigner_function(density_matrix, res=200)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If it is desired to calculate the analytic expression for the Wigner function, we can import the sympy package and run the Wigner function calculations symbolically. The below code is almost identical to the code in the Wigner function tomography module but edited to work with symbolics rather than run through the points in the mesh of the sphere." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.5 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.5 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.375 e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + 0.375 e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}\n" + ] + } + ], + "source": [ + "import sympy as sym\n", + "from sympy.physics.quantum import TensorProduct\n", + "\n", + "num = int(np.log2(len(density_matrix)))\n", + "harr = sym.sqrt(3)\n", + "Delta_su2 = sym.zeros(2) \n", + "Delta = sym.ones(1)\n", + "for qubit in range(num):\n", + " phi = sym.Indexed('phi', qubit)\n", + " theta = sym.Indexed('theta', qubit)\n", + " costheta = harr*sym.cos(2*theta)\n", + " sintheta = harr*sym.sin(2*theta)\n", + " Delta_su2[0,0] = (1+costheta)/2\n", + " Delta_su2[0,1] = -(sym.exp(2j*phi)*sintheta)/2\n", + " Delta_su2[1,0] = -(sym.exp(-2j*phi)*sintheta)/2\n", + " Delta_su2[1,1] = (1-costheta)/2\n", + " Delta = TensorProduct(Delta,Delta_su2)\n", + "W = sym.trace(density_matrix*Delta)\n", + "print(sym.latex(W))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "pasting this result into a latex environment returns the Wigner function" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$W = 0.5 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.5 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.375 e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + 0.375 e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Wigner function using State tomography\n", + "\n", + "We can create the density matrix for a given state by using the state tomography module, more information for the tomography module can be found in the [quantum state tomography tutorial](https://github.com/QISKit/qiskit-tutorial/blob/master/3_qcvv/state_tomography.ipynb). First creating an entangled Bell-state with the following set of gates and then taking the state tomography, we can create the spin Wigner function for the measured tomography" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Q_program = QuantumProgram()\n", + "#Q_program.set_api(Qconfig.APItoken, Qconfig.config['url'])\n", + "\n", + "number_of_qubits = 2\n", + "backend = 'local_qasm_simulator'\n", + "shots = 1024\n", + "bell_qubits = [0, 1]\n", + "qr = Q_program.create_quantum_register('qr',2)\n", + "cr = Q_program.create_classical_register('cr',2)\n", + "bell = Q_program.create_circuit('bell', [qr], [cr])\n", + "bell.h(qr[0])\n", + "bell.cx(qr[0],qr[1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above code generates the circuits needed to create the Bell-state and below we show how to then build the density matrix for the state using the tomography module. The density matrix created can then be put into the Wigner fucntion visualisation module " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ">> created state tomography circuits for \"bell\"\n" + ] + }, + { + "data": { + "image/png": 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JppBIvBdAJ2KxXrzpTQ/VqruLovWcLD4CkHKvSBh0Ilg3ihwr28miJHmwbdzN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u1c+VgyiiB7PYhmU5MtXkZ0lQ9JBSMCBmQUrVhKRcR6PYNYccYhLT+WbDQ0KUzeL5YybZ/DlSrD\n7F70QElHHJqfe5exPQ/VqnQSLveoQb3cRbJ46VDnZk1DN4jm4aR26ZBgq18SmsTYURC78W/Re+7W\n7EtKFZErWka+KVLZ1mGqUlRa5Mt5uCiRMa3QBXKl0e/3MbGPcSYBDCUgWWVCIFkelOJbjm3M5L4s\nNpLM1d/Yns4SLHvaR6RoObXkINip77t90NjKFSlapFjRjZBiHqiMUoWtELge1BIw4+/56EHXq6Of\nYXqsxMQuiIRZF5uOK7lBXkrDLJ8uI7O73U5nctJfDqR9OLkDVLgpLwu6PrtctaJDkieF/Y7VSZNN\nFQePqteFBYHr191/f0V8K+l6v2pF71WkRuVlZBHsuAd7m5zysnN+r3AdbxWaBE1A+6VIpWrBJFFc\nuXoNJjkbQCljfHRhFaE86Ea/30fbLq0H7B0lUbLKhECyPCiNkmU/UAEd4QCMlJfFIxykpAchV634\nCEOuauX5r3b7zZ2Oz5+0djSDywBP5UK1zfLyh/C1r/3bZL1kvnCBalViOEzIl3VRnL4sezsuA9om\neSTKVrKNqNU0UeKkmBMtPrTTNsUTeK9CQq2mCBT9cjwXC8gGmhJsksZ9WPxzTSSLGYB5+x11aGrB\n4za+F6lWbpN7dh/qZZg9JilZKIBLwbKJmWsULW1rg/ob8hGGPPF9FBLmGlFI8zVoAkU+SB4O2oEi\nYbRsElqhov9T8lxtQhM0UrRUaT2QKzcGg0EgWQeBQLIyCCTLg1IoWQT+oeVZSOyh7lKw/BEO3OQ7\niqplEy79DXk8uEzAnMzaIwhhzVM50Qx/lDI7WqxalaZiZamCqQbG1C2RN+LQVraSmIeYt8GxRxPy\ni54oWnFirE/3sVQumTAMw4vVaGRjHOzsLAInVFSCvAmjqBoNd6BpPuFylxZHg4BZJiS4FKy8Fj02\nCfKNMBy1rJinlgHmZ5zM6US2eHo7JboTwXqNbUPEjDxXtKwBRbRu3WiGUTEYDDA1NXXYp3H8EEhW\nBoFkeVAGJeuRf/SP8OinPqVm6MFNKtbmJrC6iv7MKUPs4tMLC4pgmaJJH9qLRapFB2ajaFvVKop9\n2M2oQu6/4qTNRa5MpWt5+SMAgJUViQceELhyRQt7BqQ0Ru+ljzzuk6L5KEK8tqa0B06EXGSL0Otp\n8jUcZtQwaatXLtLHPWGAjm+gY9PvQUjIVdztah8W93ANC/4OnJAl5MsgYVagaTU59smTFVy7pv5G\nfHRh3r9JVrXKKwdKpoRl17bbTWxv05cDXwQDzY+S5G1vk6fcukz1rh6GRQSL4z1QRGoCWr2Kof4n\nKGCUSoE85oH+vpT+ToQrkKtxEMcxOp3OYZ/G8UMgWRkEkuVBGUhWCvrQ8jIhALRaaHTXAUwbn+uZ\nGbXLykpW4ZqYaGFnZxua1Pja6vi8WHvtVciPw9+LehbyXoZ8eR1mCRF49tk+/u7fbSYcRD140wrZ\n2rV0OymligNw1VNZfIMBVhIEYKpU9ghDlq1lhJg6TPQA9Da0nUvRajYVcbPh8mE5chRkpWKeF4F/\nrh2qnW20r3ayrXd8oweLRgrq0qBuo2OTEXW88TK5XMcxMQE1StsFm1z5IiFGwai+RCoVUkTDEHoE\nIfdUdZAdeUhRDVzB2wrkakwMh8NAsg4KgWQZCCTLg9KUC/koNlIZ1taAs2fTTTod7bvqdEw+AJge\nbfPz7/JiNeBuBp0XSDquikX7VKx5F7HlZHCI5eWPpmuWl38YKyv/DxYXAeXL0g9IKv/JhMzIWg2Q\n0iwL2h6qZDu7dChtksTLhxQwysuJnDwx1Uy4DPCAMrvbqpUrCZ6OSecAmL8D63UInvzOze78WHt4\nyNBp8Ld3jRQsIlwuwjY3p1QzOxVew6VUuZYVEaZRMrdGxbhG+etQpIpa4ZDhnQgXvdolQq04B2K1\ne0RRFMqFB4GgZGUQSJYHpVKygKwvi/KyWi0gIVFEsDipyh9hOA09hBzImuHtb/mUyr5fcKlovIzI\nfwA3CQM0wSKPVmI5dqlNUnu1jMbQ1nYyitxky0HMMu9BSJQoCiSV9nryTNkkys7Nsv1Xvr6JQEqy\n5CifXwcJs9UzEWnVslqt8dP2go80LG6d416e32aH4AodpeVFINWoCEXHGmdULZ0rN72TWZ3M76Ri\n0e9DZcQKgJ1ArPYJcRzjxIkTh30axw+BZGUQSJYHpVSyeOgVC7UcP8Khb70C7rY68Kwn7KZ0aD89\n7ZwsWt+APcJwefk/Z44WRcrCTr6s1L4kpWoJb26s1zHkmd4NskXrPKnxAIxpyZdZ8Q3SdTPiSpeD\nWMVSKq2FJ8UDxazH4cMCmH/L9plxMI8W+bOKRhfayMvKGu9YtD83t+cpXb7RhKNiVHVqHBVLQn2m\nbZLFlSwAWMfy8uIYxw0YB1EUYXp6+rBP4/ghkKwMAsnyoDQkywWLSS0sNDIGdzK+r6xogtXtAoMB\nj3AgguRKfqc0bFKSeDo2lfrM4f7jIWtoz5YnK+nr8vL/5zzKyopEFAlIKdn/t1DlOUZEMqoVL/kB\naVkxo1TR/oxsyc3NzLFoXWyXFq3jpKMQHa2SjMT45NyN1PhGQ5cuKx5zNxEnnw/LsVxys7t9g2Tz\n1Tr1NxwnziF7irwMOD8vmD+Lwx1SSq12ZIbX2D0Jbbha9Lim9xt22nsdQBtkdjeJ1CQCbg7iOMbM\nzMxhn8bxQyBZGQSS5UFZyoWPvOtdePSJJ9SDeXPTG+fQaunRhOTRunTJJFhsR2gfFg0R56MLqVzn\nMsK7FC2+LM+jRcTAJlh28jIRO256d+Pee38AKyv/NxYXlZpFWa1y4RSw+lr2aUwqE+8ZmEACEHlk\nazhU+eEJkRHVqjGaLyVqQNYcT8uS7UnlErzNDle8aJQhI14+qSgtf7bbxrmm65NjigP84lCp+JLe\ns8s4ilrwzM0JXL2qPodmL8OK9eqDfcw2itWtvZIu14jHajodFKrDx3A4xOzs7GGfxvGDlNmBPrc4\nAsnyoCwky4soSg3wJKzYviwCF14mJirY2QFMFYr7oTgBA/RoP066XGXCUX0pnGAB2TIhnYPednn5\nj3OPSCXDKFKEcnFRmg9krmhB6wo+opUus8kWoKMaajXEN27onpJcQaLRg7TMNquzZdznZZjjuTcq\nZxSicSzOWBxBi5IytwDEnY5z9KG0W42w86i2zF8HUOTKBzsHy1y3t/nkbD3vPIqPyrUtTZMX0Q4i\n3S34+40VBhZwQAgk64AQlKwMAsnyoFTlQnsUGH2IOx1FtFqnvKSKplstPvKQEywy3MZQQ8Y3kVWt\nOIGyCRZtU2QA5qMJAU2u7F6F1eT81Ovy8pdyjqmwsqKIlvr/VorW4qI005SkJl4GkXIpVq5sLF9s\nA9+GwAkQ24+ujuCkjG8H5uNKWEVcrZqFLms9AHfUg6dcKB1Kl5PQ2dtDp8FX2Xv74xzU9MKCwOpq\nNh+rqMzospzx7RSxBlQgKVdhgdG9WHSMUXK1XPsVkTm7VFhBVrUNOAzEcYy5ubnDPo3jh0CyMggk\ny4PSKVk5fqFWS5cFWe/otIToHm1Yh06Ipn6A63CrWnyfAbLlwFFiHChwlJcMeSYWPw7PyCrG5csx\nVlYqOHPG8uskExKAWFjwjiY0jO2wSNio09bfRzJiZowq9I0yjKJsaZP8WbYZHVq1Ep7PhHfaLlfa\nSt2IGLUcqJa7w0ft9f7S4SiBo6709opjOxdsBcu3DfXOHBf6vJaXv2EX+wfsN+I4xvz8/GGfxvFD\nIFkZjPsV7pZBmZSsR974Rj2a0DZdJyrX5qYmWFz4citcnLxw8zuBmjTbvQT5dkTG7CfruBEPnNSZ\n+46iYgHAW9/6QwBIzVJhllJKlXnFiBaHQXRYrIOxDe03HJqJ7qRc8R97uWseUAoTy9KKq9XUVJ++\nD9+WltH7u5Qm+mHbSvaTB2n/Hvz9rB86z7zBjJTyXvRjnEMSzD83RzEcdkCp+pmddfUCBEx/Fv8B\nO16bzcPa/mYhlArLgpD4foBw3R/38+eIIShZHpROyQLMlif0gVtbQ21J+29cpULyapGqpT1Zdj4W\nle98eVn8gc0Vqd0g74EzxPLyS2Md7dIlicVFgcVFNdowioBGdgia9mFlV+hpXh6s1czHehRlikDp\nPtBxEBnS5vJ3uW4YdimRMxL6TLKbTczN7tx073sflzE+p1zoOkdXWdA+VUKlopt3m16u7LYuAlaM\ncXxZo5b5AHcrnb2cTxXhdlseSCkxORlGc+47gpKVQfiv96BMShYAVQ/c3NTD5wjs2xg9W2s1s2w4\nM6OsW1rVGkAFkdI0JU7z2AZAK1p2w939AL0HV8hUmXB5+dWxj3b5ssQDDyCNc0hpUKJmCSGcRSdj\n3lcGdKyXgDe2IVWlANtIpM/J48nKjH5kZnfp8lFRKdEOKOXn6trPU07MnJeDgFGUg/3r8SvqN8Tn\nZ2XRNkWGee3Jch9zPLjKhLs5Jr92fP8q1KjCC7s4ZsB+I46Vel6/CY3TbzkEkpVBIFke1Ot19WD2\nKR+HCZKoEiVrE9NotXTJkJvdqcJoLmtDym1oJWsAZRa+Dm2Kr0L3SQNMUkSeqf1Mf7fLkePh/Pkf\nwsrKL2FxUSlag4FEPWmlA1KW+ChD3lTZOlbmL57jh8soVpzEkCpF7+tqOp2cH/dkxbSfPSrRJmx2\nSx2baI1yvnvEKGGiWu2yy4Cu5a7pwr9QwXIfirYfdcTsKAilwrIgiiIIIaxIkIB9QSBZGQSS5YEQ\nAo1GAz2H6fgw8MjUFB6lIEvOns6fx3QnxtpaxXjmEqni5UNaLyW17gB0eZBGaJEhnRvcuf8qRj4R\n8png7egG1zywvHw959j56HZVqXBlRRGtlNzMzwNXr6r+hRi9Q51dJvSCEyLfPon3yoCtXtnrbI+W\nKxKCk0WHwd0rCe1idCFtVy0Yj+DLSeWNoX1lRr2vrwy52xGB40BidILlbnStQZ+2EtoPblEMBgNU\nfB/SgL0hkKwMAsnKQZlIVgo7vHJtLRPxUKvpEiGFGhMnMytbFMcwYPNDmP4rUrSGMNUrHrUwjvoU\nw1UiBIDl5b20QAF+93djnDlTSYJJJRYXp9FeBHDlit6IBYja3ioe88Dh1Tt8ZTjXiD27DMeaRxuw\niRdnGKRU+QztLmLFiFo8NZUZXcjfy3medtgqgOqN64gdfd98zy1+OqMKw9Qk2kZ2f76AIkjytsmj\n2FnTvcZuVC2Rvi4v37uL/QMOAr1ez4ghCdhHBJKVQSBZOSib+f2R4RCP0gw3YEGTKgJXsnipcGYG\n2NkhpYp+AE2auCG+AZNwcYJFBGk3Q9ptFSvG8vJeWvQoPPzw+xBFv4gokhgMhBptWKuppzyPc2D5\nAzJJcecBpU5jO1jxisztPsbAYhsy6hSgexDCEaVgqVMGaXOY3Z1RDMlIQOMY/NWazlXsfARMZmMX\n/OoT2HLXfuNvU0ycXKVG4VjmOp4PvodHUTkz3GbLhG63G0jWQSKQLAPhvz8HpTO/A4olRVGm/x0n\nWJx/EfmiZbp8uANdcqH8HyJM5LsiE3zMllG50OfJGtdTNcTy8pi75OCll2IsLlawuCghJSsZJv4s\nMT8PefWqWsaYqesxmZItajbtM8EzopP7qGaEyWgebR+Pte1J9wMgmZIFIFsq9BCiTCPoXWZjFcFH\nuIo9VO7Rij5PVrUqMTHRxM6OS2W232uvTaKLUETOqlhefvMBvn/AuOj1esH0flAISlYGoTCdg7Ip\nWSnoQ0wyVbeblgXt5+fmZpZgCVGBKq0AWlEigmVHM/ByIV8Ott6HUQjX/n6jjOP3IYqkToGv1SCr\nVZ2bRW1wqBUNoLMDaB1DWkAaoc5lZE75wLOoio5nb+MiUo4cq0JzOz8H+xiA98dAwe9QnI8lndsW\nIUvC9mNgym6OwffxlRIFRncABtwsBJJ1gCCSVdKcLCHEnBDid4UQf528ZnorCSHOCSH+QAjxVSHE\n00KIH2DrfkoIcVkI8cXk5z1F7xlIVg7KqGQ98vWv68CrTiclBfTZI3sWkS7eaMKRwqkAACAASURB\nVH5mhnMIim0AFNHpwExe56923AJNu/xYeeGk2enl5f0coahw+bJEFElcuiRN8jQ/nypaKbliMAiV\nRap2QzQAGKQncwweMMrJEV/mChWl87NvaD7kHct6v7wfTuLod6lU9I/3GsjsJR2HWPHti2EHjOYR\nqFFJGlfUpDVPsA3wRK7CLbZs6Pf7pby3HwuUnGQB+ACA35dS3g3g95N5GxGA90kpLwD4GwC+TwjB\n81d+UUr5puTnM0VvGMqFOSitkkXMaW1NGa0sokWr+CufrtWAwWASimTRQ4BGG3JDO9h6u+VNUYRD\n3jrVXmd5+WB8Ea+++j5cvvwLmJ8XeGVF4LalRbXiyhXlo0pIl0z8T6MGBNA6KiP6nD0C2agEY97V\nwodvVzAisCjFHUDhzcjO/Bob6f6aRHCVySf80Tb5wqBdHuTLR/VTFcVCjAJ6P5dfkF9fn5JVwfLy\nW8d4v4CbgUCyDhDlLxd+O4C/lUx/FMAfAng/30BK+SqAV5PpDSHEMwDOAPjqbt4wfM3KQVlJ1iO/\n8zt6plYDul3UalrFiqKskkX+LA0aZkiKFNhr35rnxKpi7edTrrLxDHr6y1hePthGuZcvSwwG6oE6\nlEKVDEnVqlZTVUvWahBJD7N0JB/5pFDsJuLbuR1EBXAQpsKSn+9bna/sR+rV/n0bTMEVKVOx0mdQ\nreofwvy8bqEjpf6x/Vlqn5tdFrTfL+/9Y2s7gkC4vZYTg8EAExOhUfeB4eCVrAUhxJPsZxxX72JC\nogBgBcBi3sZCiPMA3gzgcbb4fxNCfFkI8WuucqONoGTloNTfduzk9wREsCi+gV7tlodmyvUOTKWK\n1Cwe72A3x83zaOWrXMvL7/D/XvuEz352iAsXalhclBgMgIZVnxKJTwuA9mlBES2JZLRetZoSFgBZ\nw1uyflxkVC06hu0Hs1Qt6fg8esnYOESKq1ojJL6PAp8YN2627ziKl3/ZqNvE1rqikbO+66GOsbz8\nTSOcS8DNRr/fx9TU1GGfxvHEzVGyVqWUb/OtFEL8HoAlx6of5TNSSimE8N4whBAdAB8H8INSSgqS\n/GUAPwv1T/6zAH4BwP+cd7Lhq1YOyqpkAcAjv/7rimgxZYLULMrCos/62lrR5971ra4CM0CRlxBt\nbxaHj3SQgjXtWb+/eOMb349Ll2Tiz4LpzVpcVI/BxBQPQKtctJwOxNvakNpC5UZan4NCAznfdhQF\na4T9M8dI5CXjHLjh3bFtug//4fvvsyJGsJWx8VC0Qwx3aW87WU6jFe0WOxyj/M4VhO+v5cVgMAh9\nCw8KJfBkSSm/VUp5n+PntwFcEUKcBoDk9TXXMYQQdSiC9etSyv/Cjn1FSjmUUsYAPgLg7UXnE0hW\nDkqtZAF45MMfVhO1mtE7OlkEQH0meVZppzPOs9FFqnbbauRpLC+/c5f77g5/8RdDvPSSIlrbtWng\n1CltfieCxYgWTpxIjfFUSkxh+ahsK7S9bj8LXMZxmOl8L8c3S3QMnlGHNhlLz4Edx1UWdP82/rP3\nnlcuXR21sGuDSNderqZteFeuvKBilRdRFKFjBTgH7BNKQLIK8EkA35NMfw+A37Y3ECqR+j8AeEZK\n+X9Z606z2e8A8JWiNwwkKwdlVrJSLC0BUYQoyuSTpgMQbaKl0fJMc/iUmipG//h85aYTLACYn39/\nOtJwZ4fFOXB/FvNmpeuJaAHpMpp2Iikx7uYx7drPRyOc+3vKlcZIQvrx3KjG6mdo7e8bJZj1WWV/\nA07K3ORsJP3PsWzI9tsa4Rgco3yJyNumghDbUG4Mh8NAsg4K5SdZHwLwbiHEXwP41mQeQojbhBA0\nUvBhAN8N4FscUQ3/Sgjxl0KILwP4ZgA/VPSGQdPOQdmVLAB45Ed+BL/8y48qh1WST0oDDjsdYHVV\nvyYeeXQ6wMYGYJb2eCmF2u0A2otFWVkVtl/xA2l5eRbAu/b6a+4an/50jAsXKpibA2SjoQI+OcFa\nW1MkirEEceIE5I0b+iCsfChpVCKDBAsOBbw3gjxj/FhOIiuMtGi0oamxeLZJzjn3PIrKlZ6dXcup\nh+He4CNYo+5j7593ThHbxrcdqVh/o+AcAg4Tw+EweLIOEgfvydo1pJRXAfxtx/JXALwnmf4TeG6V\nUsrvHvc9g5KVgyOhZAH43u99BCsr5uhCAnm0uKKlPFvUp5BeAUWkOGwDe56qlYUiWIeLN7/5A7h8\nWeKllyRev1qBnJxUitSpU5DNpja9W4oWmOoFwB1UmmxbSUgYN8inyhhGL2aNrYb5Sng5uxS+x6ie\nLEeW2CggPjs/X0nfbnzk6X9F++0FnFz5HiThllp2DIdDTE/fHG/oLYc4Vg+Yg/w5Ygh3hBwcBSWL\n8NM/rYgWYERnIYp0T2l6VWSsD2V4J6JFBIuPMmywZdROh8P/8SkDwSJ89auqbLi5KRGfmAVuu02N\n1LNKh5LVvmS1CpGkt6bkwk6FJzLm8WsBVk9BAh1jxKiIPN/XSHCFq/qCSUc9ZPr+Lq+U36VmkDa2\nWba0KDPr7IgH8z3GQZ4aZYMU3RhZYpUNIA0qVvkRlKwDRPnLhTcdoVyYg6OiZBEeffQRfOd3qhbS\nVDYENNHa3NRKlhAtSDmALg3S6MEhdGlwK1nWhUmo/CPqbtbowXFx8aLE4iIwNycxbbfRmZ+HvHHD\niHJIyVWtpsqHW1sQrRZktwtMTgJbWxC1GuJuVxEp2o/HMdANwdGqB3Do0ck+hZRBmgTEvUnBUfgx\nHOdWtE/OotwjmZwuoWnJQbJ8bzfkybf/yL9lglEbn/Ni7NH5UnYrYzgcYsYMDQzYL5Q/jPSmIyhZ\nOThqJAsAPv5xrWgBilzZypYGPUgG0EoW/515KRFwB5fqdcvL5R0WffHiB/D1r0tcuQKsy44q5TWb\nukyo61jGyEMkRnhDxeJlRSDtiwjAWWLkj2Hui5JA1jme07w51XEsJawIeTrTOBinXOhqpWPDNXjR\nN6gxjtUPQTWHprMhZYqb3O2rvr2L35KOwQmXS9ECwojCo4NAsg4YQckyEJSsHBylciHHn/7pI7jz\nTqVo0ahDMsXT51TFfDSgCZbvm3sesVJQ7XEOpkXOfmFnZwdPPRVjcbGi0sZPnwaaTcgrV3QX7fl5\n4OrVtFQo19aUkgUYyhYAJykytBJ+M6hW/aMAk1dfm568fUZdvheMdkxTkcqsdS4uco5pELkyy4Wj\nlg1tdWsr5z0l9P9B0W/Og0vloYyeDdgdAsk6QAQlK4NAsnJwVEkWAHz9648AACYnH03LhGtruly4\nuVlhD7+sKqVglwjNHm7Ly66ebuXD9evX8cwzz+Chhz6Il176eczNVTB9fx0VUpASf5ZAQqKaTche\nTyld3W7qxxJAegNJLx0pWFGkRhgm60WrZTZ8Zj0SxXCYbeHDbkxE5IRdOnQFn3rUrEILOD+WaY6y\nNvQQp8J3yi/VXb3qI0zZaU7e3Fx1FHIFmKos73bA5/mxIjaf9+Ao9xeMABNxHGN2tjye0WOFQLIy\nCCQrB0exXGhja+sRrKwoVYt8WSZ8Xisyu/PlSrFaXnaG5JYSly5dwmuvvYaHHnoIAPDssx/EqVP/\nEnNzwOLiglEclVeuQLbbiizduKHY6IkTatpWsmxylEQ7EHkRw6EuIVrn5KQl1MYHSImN5Ms8+xnL\nOCFytfwpJEwF5MxB8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28R+SLDOydJiRlftlqaDbmULP5wtpRbSnfn/iiTROlto4h8Vsis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\nb9qKd7/eAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bell_tomo_circuits = tomo.build_state_tomography_circuits(Q_program,\n", + " 'bell', bell_qubits,\n", + " qr, cr)\n", + "bell_tomo_result = Q_program.execute(bell_tomo_circuits, backend=backend, shots=shots)\n", + "bell_tomo_data = tomo.state_tomography_data(bell_tomo_result, 'bell', bell_qubits)\n", + "rho_fit_sim = tomo.fit_tomography_data(bell_tomo_data)\n", + "plot_wigner_function(np.matrix(rho_fit_sim),res=200)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "again, using the same code from before, we can calculate the analytic expression for the Wigner function from the generated density matrix, it can be seen that since the density matrix is less sparse, the resulting Wigner function has many more terms" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.493698558640376 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.00275286172575906 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(-0.00534735110770023 - 0.00770494561267218 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00534735110770023 + 0.00770494561267218 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} + 0.00266528247889166 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.500883297154973 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(-0.0015149834996068 + 0.000102164609935808 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.0015149834996068 - 0.000102164609935808 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00628509857352323 - 0.000924492486476053 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00628509857352323 + 0.000924492486476053 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.000462681165102337 + 0.00867331154973143 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.000462681165102337 - 0.00867331154973143 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} + \\frac{3}{4} \\left(0.492697839219187 - 0.0085595434721166 i\\right) e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.00247818568149116 + 0.000867188901661959 i\\right) e^{2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.00247818568149116 - 0.000867188901661959 i\\right) e^{- 2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.492697839219187 + 0.0085595434721166 i\\right) e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}\n" + ] + } + ], + "source": [ + "Delta_su2 = sym.zeros(2) \n", + "Delta = sym.ones(1)\n", + "for qubit in range(num):\n", + " phi = sym.Indexed('phi', qubit)\n", + " theta = sym.Indexed('theta', qubit)\n", + " costheta = harr*sym.cos(2*theta)\n", + " sintheta = harr*sym.sin(2*theta)\n", + " Delta_su2[0,0] = (1+costheta)/2\n", + " Delta_su2[0,1] = -(sym.exp(2j*phi)*sintheta)/2\n", + " Delta_su2[1,0] = -(sym.exp(-2j*phi)*sintheta)/2\n", + " Delta_su2[1,1] = (1-costheta)/2\n", + " Delta = TensorProduct(Delta,Delta_su2)\n", + "W = sym.trace(np.matrix(rho_fit_sim)*Delta)\n", + "print(sym.latex(W))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$W = 0.493698558640376 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.00275286172575906 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(-0.00534735110770023 - 0.00770494561267218 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00534735110770023 + 0.00770494561267218 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} + 0.00266528247889166 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.500883297154973 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(-0.0015149834996068 + 0.000102164609935808 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.0015149834996068 - 0.000102164609935808 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00628509857352323 - 0.000924492486476053 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.00628509857352323 + 0.000924492486476053 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.000462681165102337 + 0.00867331154973143 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(-0.000462681165102337 - 0.00867331154973143 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} + \\frac{3}{4} \\left(0.492697839219187 - 0.0085595434721166 i\\right) e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.00247818568149116 + 0.000867188901661959 i\\right) e^{2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.00247818568149116 - 0.000867188901661959 i\\right) e^{- 2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.492697839219187 + 0.0085595434721166 i\\right) e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Experiment" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ">> created state tomography circuits for \"bell\"\n" + ] + }, + { + "data": { + "image/png": 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qfjxvpR/8P14MXvqG7/s3lemwAcAzvu8/a8bkPQTg1wFwMeUDGPbMt94EgCMA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BAAAg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\n0VQegpLHSZiA4BIIZrTJavd6rb6UYE6Rp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pIlX9+uUKmupEI4qVKnA+Uq6+q4rOlCc1rN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\nQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Q_program = QuantumProgram()\n", + "Q_program.set_api(Qconfig.APItoken, Qconfig.config['url'])\n", + "\n", + "number_of_qubits = 2\n", + "backend = 'ibmqx5'\n", + "shots = 1024\n", + "bell_qubits = [0, 1]\n", + "qr = Q_program.create_quantum_register('qr',2)\n", + "cr = Q_program.create_classical_register('cr',2)\n", + "bell = Q_program.create_circuit('bell', [qr], [cr])\n", + "bell.h(qr[1])\n", + "bell.cx(qr[1],qr[0])\n", + "\n", + "bell_tomo_circuits = tomo.build_state_tomography_circuits(Q_program,\n", + " 'bell', bell_qubits,\n", + " qr, cr)\n", + "bell_tomo_result = Q_program.execute(bell_tomo_circuits, backend=backend, shots=shots, timeout=300)\n", + "bell_tomo_data = tomo.state_tomography_data(bell_tomo_result, 'bell', bell_qubits)\n", + "rho_fit_ibmqx5 = tomo.fit_tomography_data(bell_tomo_data)\n", + "plot_wigner_function(np.matrix(rho_fit_ibmqx5),res=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.42449513+0.j 0.04903598-0.03810053j 0.04086913-0.02804089j\n", + " 0.28509530+0.00922257j]\n", + " [ 0.04903598+0.03810053j 0.12420290+0.j -0.03528153+0.00875078j\n", + " 0.05128566-0.04143676j]\n", + " [ 0.04086913+0.02804089j -0.03528153-0.00875078j 0.12430677+0.j\n", + " 0.02853103-0.02387418j]\n", + " [ 0.28509530-0.00922257j 0.05128566+0.04143676j 0.02853103+0.02387418j\n", + " 0.32699520+0.j ]]\n" + ] + } + ], + "source": [ + "print(rho_fit_ibmqx5)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.32699519833677 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.124306773174647 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(0.0285310304913017 + 0.0238741788035984 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0285310304913017 - 0.0238741788035984 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} + 0.124202902962916 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.424495125525667 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(0.0490359773360699 + 0.0381005337507329 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0490359773360699 - 0.0381005337507329 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0512856636758563 + 0.0414367583959388 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0512856636758563 - 0.0414367583959388 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0408691303527403 + 0.0280408874045363 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0408691303527403 - 0.0280408874045363 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} + \\frac{3}{4} \\left(0.285095302985003 - 0.00922257353994807 i\\right) e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(-0.035281529513114 - 0.00875077955598942 i\\right) e^{2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(-0.035281529513114 + 0.00875077955598942 i\\right) e^{- 2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.285095302985003 + 0.00922257353994807 i\\right) e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}\n" + ] + } + ], + "source": [ + "Delta_su2 = sym.zeros(2) \n", + "Delta = sym.ones(1)\n", + "for qubit in range(num):\n", + " phi = sym.Indexed('phi', qubit)\n", + " theta = sym.Indexed('theta', qubit)\n", + " costheta = harr*sym.cos(2*theta)\n", + " sintheta = harr*sym.sin(2*theta)\n", + " Delta_su2[0,0] = (1+costheta)/2\n", + " Delta_su2[0,1] = -(sym.exp(2j*phi)*sintheta)/2\n", + " Delta_su2[1,0] = -(sym.exp(-2j*phi)*sintheta)/2\n", + " Delta_su2[1,1] = (1-costheta)/2\n", + " Delta = TensorProduct(Delta,Delta_su2)\n", + "W = sym.trace(np.matrix(rho_fit_ibmqx5)*Delta)\n", + "print(sym.latex(W))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$0.32699519833677 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.124306773174647 \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(0.0285310304913017 + 0.0238741788035984 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0285310304913017 - 0.0238741788035984 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} + 0.124202902962916 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) + 0.424495125525667 \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) - \\frac{\\sqrt{3}}{2} \\left(0.0490359773360699 + 0.0381005337507329 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0490359773360699 - 0.0381005337507329 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{0} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{1} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0512856636758563 + 0.0414367583959388 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0512856636758563 - 0.0414367583959388 i\\right) \\left(- \\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0408691303527403 + 0.0280408874045363 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} - \\frac{\\sqrt{3}}{2} \\left(0.0408691303527403 - 0.0280408874045363 i\\right) \\left(\\frac{\\sqrt{3}}{2} \\cos{\\left (2 \\theta_{1} \\right )} + \\frac{1}{2}\\right) e^{- 2.0 i \\phi_{0}} \\sin{\\left (2 \\theta_{0} \\right )} + \\frac{3}{4} \\left(0.285095302985003 - 0.00922257353994807 i\\right) e^{2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(-0.035281529513114 - 0.00875077955598942 i\\right) e^{2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(-0.035281529513114 + 0.00875077955598942 i\\right) e^{- 2.0 i \\phi_{0}} e^{2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )} + \\frac{3}{4} \\left(0.285095302985003 + 0.00922257353994807 i\\right) e^{- 2.0 i \\phi_{0}} e^{- 2.0 i \\phi_{1}} \\sin{\\left (2 \\theta_{0} \\right )} \\sin{\\left (2 \\theta_{1} \\right )}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Measuring Points in Phase Space\n", + "\n", + "We will now look at how to create the circuits to measure set points in phase space. The following results are based on the figures in [*RP Rundle, PW Mills, T Tilma, JH Samson, MJ Everitt, Phys. Rev. A 96, 022117*](r p rundle prl)\n", + "\n", + "## Plaquette Visualisation\n", + "Staying with the bell state, we will look here at the slice where $\\phi_0=\\phi_1=0$ and we plot $\\theta_0$ against $\\theta_1$" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ">> created Wigner function circuits for \"bell\"\n", + "COMPLETED\n" + ] + }, + { + "data": { + "image/png": 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i/E1+vh6BAjXJJBhUruK4cXrsJlLbQInk7t322wR1bMuWAcopt6tiR1VcLpVS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\nvVTHx+75Q+kLcmsJ16b5K55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DerDOPNN6L9kw1OU76qiav+/duzEvvHCs5aELv9/ghRf6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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "theta1_points = 8\n", + "theta2_points = 8\n", + "number_of_points = theta1_points*theta2_points\n", + "the1 = [0]*number_of_points\n", + "the2 = [0]*number_of_points #initialize theta values\n", + "phis = [[0]*number_of_points]*number_of_qubits #set phi values to 0\n", + "\n", + "point = 0\n", + "for i in range(theta1_points):\n", + " for k in range(theta2_points):\n", + " \n", + " the1[point] = 2*i*np.pi/theta1_points\n", + " the2[point] = 2*k*np.pi/theta2_points #create the values of theta for all points on plot\n", + " point += 1\n", + " \n", + "thetas = np.vstack((the1,the2))\n", + "bell_circuits = tomo.build_wigner_circuits(Q_program, 'bell', phis, thetas, \n", + " bell_qubits, qr, cr)\n", + "bell_result = Q_program.execute(bell_circuits, backend=backend, shots=shots)\n", + "print(bell_result)\n", + "wdata = tomo.wigner_data(bell_result, 'bell', bell_qubits,\n", + " bell_circuits, shots=shots)\n", + "wdata = np.matrix(wdata)\n", + "wdata = wdata.reshape(theta1_points,theta2_points) \n", + "wfv.plot_wigner_data(wdata, method='plaquette')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Curve on a Wigner fucntion\n", + "We can also take a line around phase space and plot a curve. A useful line to take is the equator of the equal angle slice, below we plot this slice also for the Bell-state. When we have an $n$-qubit maximally entangled state of the form $\\left(|0...0\\rangle + |1...1\\rangle\\right)/\\sqrt{2}$, the equatorial slice will show sinusoidal behaviour with frequency $n$." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ">> created Wigner function circuits for \"bell\"\n" + ] + }, + { + "data": { + "image/png": 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lDcvSGXJ7dDB4Eirru1iYGk10eIjVocyqWR0EFpErGU0A3z7HOfeKSJmIlLW1\nBe4btyQvkepGF6eGRqwOxW/tbnCxPFMHgC/URXmJJEWF8fpe3Y/6XIwxVHkHgIONLxJAI5A97nGW\n99hHiMgK4BFgozGm/WxPZox52BhTYowpSUlJ8UF4/qk0LxG3x1BZr7XbJzIwPMKhlh6W6/z/C+Z0\nCNcsTuOtA60MuvVC42yOt/fT2T9McRDuNueLBLATWCgi+SISBtwObB5/gojkAM8DnzXGHPJBm7a3\nKicBESjT6aATOniixzsArAlgOjYsS6d30M2HR896zRX0xi7C9A7gAhhj3MD9wOvAfuAZY8xeEblP\nRO7znvbPQBLwMxGpFJGy6bZrd3GRoRSmxbBTB4InNLYCWKeATs8lC5KIDg/h9WrtBjqbyvou5oQ6\nKUgL7A3gJ+KTEQ9jzKvAq2cce2jc918AvuCLtgJJSV4CL1Y0MeIxOB3azz3engYXCZGhQbUqcyaE\nhzi5clEqb+xr4V836ftsIpX1XSzPiiPEGXzrYoPvFfuRi/IS6R10s183iPkbexpdLNMBYJ/YsDSd\n9r4h7W6cwKB7hH1BXG1WE4CFxgrD6Qfzo8YGgLUAnG+sL0whLMTBazob6G/sb+5haMSjCUDNvrEN\nYnQc4KMOnOjB7TG6AMxHosJDuGJhMn/e26J7BJyhsm70s6cJQFmiJC+Bncd0g5jx9niX5S8PslWZ\nM+n6pek0dp2iulG7G8errO8iNSacuXERVodiCU0AFivJTaC1Z5CGTt0gZsyeRheJUWFkBOmHciZc\nszgNp0P4U3Wz1aH4lWCsADqeJgCLrc4dHQfQwnB/pSuAfS8hKow1+Ym8sU+Lw43p6g/OCqDjaQKw\nWGF6DFFhTk0AXgPDIxxu7dX+/xlw7ZI0Drf2cuxkn9Wh+IXTC8CCuKtRE4DFnA5hZU6CJgCvfc3d\njHiMloCYAdcuSQPgjX06Gwj+WgE0mN9rmgD8wOrcBA6c6KZXy/ZS7V0BrHcAvpeVEMnSjFj+rHsE\nAH+tABoTEWp1KJbRBOAHVucm4DFQWaeF4XY3uEiODgvaWRkz7dolaZTXddLWE9y70QVzBdDxNAH4\ngeKceER0INgYw666Tl0BPIOuW5KOMfDWgeC+CwjmCqDjaQLwA7ERo4XhyuuCOwFUN3ZT09bHNYvT\nrA4lYC2eG0Nm/Jyg7wZ67/DoXiOl+YkWR2ItTQB+YnVuAhXHOxnxBO+CsOd2NRAW4uCmFRlWhxKw\nRreKTOOIGAoVAAAXl0lEQVT9IyeDeqvI1/eeYF5KFAtSg68C6HiaAPzE6twEegbdHG7tsToUSwy5\nPbxU2ci1S9KIiwzeQbnZcN2S0a0i3z8cuDvunUtn3xDbajrYsDTd6lAspwnAT6zOHe2LDNZxgLcO\ntNLZP8xtq7OsDiXgXZSXQHxkaNB2A2050MqIx3C9JgBNAP4iJzGS5OiwoE0Az5Y3kBITzuULkq0O\nJeCFOB1ctSiVLQdaGR7xWB3OrHt97wnmxkVotVk0AfgNEWF1bnAuCGvvHeSdg61sWpkZlJtyWOG6\nJem4Tg2zM8hKkfcPuXnvUBvXL03XmWb4KAGIyAYROSgiR0TkgQl+LiLyY+/Pd4vIKl+0G2hW5yZw\nvL0/6OZov1TZhNtj+MQq7f6ZLVcUJBMe4gi6bqB3D7Yx6PZw3VKdaQY+SAAi4gQeBG4AlgB3iMiS\nM067AVjo/boX+Pl02w1EY+MAu4JsOuiz5Q0sz4yjMD3G6lCCRmRYCJcvTOaNfcG1R8Dre0+QEBlK\naV5wT/8c44s7gFLgiDGmxhgzBDwFbDzjnI3A42bUNiBeROb6oO2AsjQjjjCng11B1A20r6mbfc3d\nOvhrgeuWjO4RsC9ItiQdcnvYcqCVaxanaVejly/+FTKB+nGPG7zHpnoOACJyr4iUiUhZW1twTVOL\nCHWyPCuOsiBKAM/taiDUKdxcpHP/Z9tVi1MBeOdgcHzOtta00zPgZsMynf0zxu/SoDHmYWNMiTGm\nJCUlxepwZt3q3AT2NLgYdI9YHcqMGx4Znft/1aJUEqLCrA4n6CRHhzMvJYqKIOlyfK36BFFhTi7V\nmWan+SIBNALZ4x5neY9N9RwFrMpJYGjEExRb9717sI2TvUPctjr7/CerGbEyO4HK+q6AHwcY8Rje\n2NfC+sJUIkKdVofjN3yRAHYCC0UkX0TCgNuBzWecsxm4yzsb6GLAZYzRvekmcHogOAi6gV7e3URi\nVBjrC4PvTs9fFOfEc7J3KOC3JK2o6+Rk7yDXa/fPR0w7ARhj3MD9wOvAfuAZY8xeEblPRO7znvYq\nUAMcAX4JfGW67QaqlJhwcpMiKTse+POzy493snZeEqE6IGeZld5yyBX1gV2K/LXqE4Q5HVypFxsf\nEeKLJzHGvMroL/nxxx4a970BvuqLtoLB6twE3j3YhsdjcDgCc7HKyd5BGjpPcdfaXKtDCWqL0mOI\nCHVQUdcZsAPxxhhe33eCSxckBfXmLxPRSy8/tHZeEu19QxwK4MJwuxtGrziLgng/Vn8Q4nSwPDPu\n9P64gWhXXRf1Hae4YZnOPD+TJgA/dIl3lsKHR9otjmTmVNa7cAT5fqz+YmVOAnubugN25tnvd9QR\nFebkxhWaAM6kCcAPZcbPIS8pkg+PnrQ6lBlTVd9FQVoMkWE+6YVU01CcHc+Q28P+5sC74+weGOaV\n3U3cXJxJdLi+186kCcBPrZ2fzPaaDtwBWK3RGENVg+7H6i9W5oz+P1QG4HqAlyoaGRj2cEepTjWe\niCYAP3XpgiR6Bt3saXRZHYrP1XX009U/TJEmAL8wN24OabHhATcTyBjD73bUszQjluWZ2tU4EU0A\nfmrtvCQAPjwaeOMAYwOOOgDsP8YWhAWS3Q0u9jd3c3tpjpZ+PgtNAH4qKTqcRekxbA3ABFBV7yIi\n1EFBWnDvx+pPinPiOd7eT0ffkNWh+Mzvd9QxJ9TJxuLAnN7qC5oA/Ngl85PZWdvBwHBgzc6oauhi\neWacVmT0I2MLwirrA2McoHfQzeaqJj6+Yi6xOvf/rPQT6McumZ/EoNtDRV3g3JoPj3iobnRp94+f\nWZ4Vh9MhVAbIe21zZRP9QyPcsSbH6lD8miYAP7ZmXiJOhwTUdNCDJ3oYdHt0ANjPRIaFUJAWEzAD\nwU/trKMwLeb0nY2amCYAPxYTEcryzLiAGgiu8q4A1img/mdlTjyV9V14PPauDFrd6GJ3g4s7SrN1\n8Pc8NAH4uUsXJFFV30XvoNvqUHyiqr6LxKgwshLmWB2KOkNxdjw9A25qTvZaHcq0PLWzjvAQB5tW\n6i5z56MJwM9dMj8Zt8ew81hgVAetqndRlBWnV2Z+aJV3QZidx5xGPIaXq5rZsCyduEgd/D0fTQB+\nbnVuAmEhjoAYB+gddHOotUf7//3UvORoYiJCbL0eYH9zN65Tw7rHxCRpAvBzEaFOVuckBMQ4wJ4G\nF8Zo/7+/cjiE4ux4W98BbPfeKa/JT7I4EnvQBGADl8xPYl9zN502X6RTpSWg/V5xdjwHW3roH7Ln\nmNO2mnZyEiPJiNcxpsnQBGADlyxIxpjRN7edVdV3kZsUqRvA+7GVOfGMeIwt1wN4PIadtR2syU+0\nOhTbmFYCEJFEEXlDRA57/0yY4JxsEXlbRPaJyF4R+dp02gxGK7LiiApz8sERe48DVNV36dW/n1uT\nn8ScUCcv77bflt0HW3ro6h/m4nna/TNZ070DeADYYoxZCGzxPj6TG/imMWYJcDHwVRFZMs12g0qo\n08H6Ran8cU+zbctCtHYP0OQa0AFgPxcVHsL1S9P44+4m220QM3aHvGae3gFM1nQTwEbgMe/3jwG3\nnHmCMabZGLPL+30PoxvHZ06z3aBzZ2kOXf3D/NGGV2YAVQ2jZa2Ls7Usr7/btCqL7gE3bx9otTqU\nKdle00FWwhyyEiKtDsU2ppsA0owxY7+RTgBp5zpZRPKAlcD2c5xzr4iUiUhZW1vbNMMLHGvnJzEv\nJYontx+3OpQL8s7BVkKdwtIMTQD+7tL5SaTEhPP8rkarQ5k0j8ew/Vi7zv6ZovMmABF5U0SqJ/ja\nOP48Y4wBzrqGXESigeeArxtjus92njHmYWNMiTGmJCVF5/KOERHuXJPLrrou9jWd9Z/PL51wDfCH\nsgZuW51FRKjT6nDUeYQ4HWwsyuDtg622mXl2uLWXzv5h7f6ZovMmAGPMNcaYZRN8vQS0iMhcAO+f\nE94zikgoo7/8nzTGPO/LFxBMPrEqk/AQh+3uAh569ygeY/jK+gVWh6ImadOqTIZHDK/ssUeX4/Zj\no/3/a3UAeEqm2wW0Gbjb+/3dwEtnniCja/5/Bew3xvzHNNsLavGRYdxUlMGLFY22qQ3U2j3A73fU\nceuqTLITtW/WLpbMjaUwLYYXdjVYHcqkbKtpJyMuQmtMTdF0E8C/A9eKyGHgGu9jRCRDRF71nnMp\n8FngKhGp9H7dOM12g9ada3LoGxrhxQp79M/+4r0a3B7DV6/Uq387ERE2rcpkV10XtSf7rA7nnIwx\nbK/p4OJ5SVpjaoqmlQCMMe3GmKuNMQu9XUUd3uNNxpgbvd9/YIwRY8wKY0yx9+vVcz+zOpvi7HiW\nZsTyxLbjjA67+K+2nkGe3H6cjcUZ5CZFWR2OmqKNxRmIwAt+frFxpLWX9r4h7f+/ALoS2GbGBoMP\nnOhhl5+v1nzk/RqG3B7u16t/W5obN4dL5ifxYmWjX19sbNP6PxdME4ANbSzOIDo8hCe3+e9gcHvv\nII9vPc7NRRnMS9HN3+1q08osjrf3s6vOf/cK3l7TTnpsBLlJOsY0VZoAbCgqPIRbV2Xyyp5mv52m\n98gHxxhwj3D/VXr1b2cblqU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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "equator_points = 64\n", + "theta = [np.pi/2]*equator_points\n", + "phi = [0]*equator_points\n", + "\n", + "point = 0\n", + "for i in range(equator_points):\n", + " phi[i] = 2*i*np.pi/equator_points\n", + " \n", + "thetas = np.vstack((theta,theta))\n", + "phis = np.vstack((phi,phi))\n", + "bell_eq_circuits = tomo.build_wigner_circuits(Q_program, 'bell', phis, thetas, \n", + " bell_qubits, qr, cr)\n", + "bell_eq_result = Q_program.execute(bell_eq_circuits, backend=backend, shots=shots)\n", + "wdata_eq = tomo.wigner_data(bell_eq_result, 'bell', bell_qubits,\n", + " bell_eq_circuits, shots=shots)\n", + "plot_wigner_data(wdata_eq, method='curve')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "Recreating the equatorial slice of a five qubit GHZ state, $\\left(|00000\\rangle - |11111\\rangle\\right)/\\sqrt{2}$ from the paper, the following gates are needed..." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + ">> created Wigner function circuits for \"ghz\"\n" + ] + }, + { + "data": { + "image/png": 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MBYUsCJvfymPQZ9+z1YdWHJtKYAZrCSGqF7C4VUDYY4fnCB8UQggmIx7hlECVWgPZUq2n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\nHrsFNw/7NFqZtnQ7GGYpUUC9QcU1AAM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Q_program = QuantumProgram()\n", + "number_of_qubits = 5\n", + "backend = 'local_qasm_simulator'\n", + "shots = 1024\n", + "ghz_qubits = [0, 1, 2, 3, 4]\n", + "qr = Q_program.create_quantum_register('qr',5)\n", + "cr = Q_program.create_classical_register('cr',5)\n", + "ghz = Q_program.create_circuit('ghz', [qr], [cr])\n", + "ghz.h(qr[0])\n", + "ghz.h(qr[1])\n", + "ghz.x(qr[2])\n", + "ghz.h(qr[3])\n", + "ghz.h(qr[4])\n", + "ghz.cx(qr[0],qr[2])\n", + "ghz.cx(qr[1],qr[2])\n", + "ghz.cx(qr[3],qr[2])\n", + "ghz.cx(qr[4],qr[2])\n", + "ghz.h(qr[0])\n", + "ghz.h(qr[1])\n", + "ghz.h(qr[2])\n", + "ghz.h(qr[3])\n", + "ghz.h(qr[4])\n", + "\n", + "equator_points = 64\n", + "thetas = [[np.pi/2]*equator_points]*number_of_qubits\n", + "phi = [0]*equator_points\n", + "\n", + "point = 0\n", + "for i in range(equator_points):\n", + " phi[i] = 2*i*np.pi/equator_points\n", + "phis = np.vstack((phi,phi,phi,phi,phi))\n", + "ghz_eq_circuits = tomo.build_wigner_circuits(Q_program, 'ghz', phis, thetas, \n", + " ghz_qubits, qr, cr)\n", + "ghz_eq_result = Q_program.execute(ghz_eq_circuits, backend=backend, shots=shots)\n", + "wghzdata_eq = tomo.wigner_data(ghz_eq_result, 'ghz', ghz_qubits,\n", + " ghz_eq_circuits, shots=shots)\n", + "plot_wigner_data(wghzdata_eq, method='curve')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since all the data for the plot is stored within `wghzdata_eq`, we can import matplotlib and go wild with different ways of plotting" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot(phi, wghzdata_eq, 'o')\n", + "plt.axis([0, 2*np.pi, -0.6, 0.6])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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KotTNsWPHKk7T3r17AQDbt2+vOE0XXHCBiqbOQd+oJqEiSWk6QRDgE5/4BP70T/+0a2of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\nQ1a8irZEukdyWa6XlxUpnJKQoqnkaAO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r0nWSLpJc5u5RWrTRH/2fvAwAT9wGuHgid5Dy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\nAzaKLYQk9JiZ+/tjtHX3PXPuaARXutLM/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QDWtdrsjgNo3TH76JMP1iRwvs2FKFZuUqzI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\nBEHQIJIkCIIgCIKg4f8DzssP8lQLzDwAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "density_matrix = np.zeros((32,32))\n", + "density_matrix[0][0] = 0.5\n", + "density_matrix[0][31] = -0.5\n", + "density_matrix[31][0] = -0.5\n", + "density_matrix[31][31] = 0.5\n", + "plot_wigner_function(density_matrix, res=200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "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": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From ffc81946dfb7d5dcff2ffef9ef03310775bfa4b4 Mon Sep 17 00:00:00 2001 From: Mark Everitt Date: Fri, 10 Nov 2017 15:54:49 +0000 Subject: [PATCH 2/6] Added authors of Wigner tutorial --- README.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.rst b/README.rst index e3fe7f1e9..8675ed550 100644 --- a/README.rst +++ b/README.rst @@ -193,7 +193,7 @@ Other QISKit projects Contributors (alphabetically) ----------------------------- -Jerry Chow, Antonio Córcoles, Abigail Cross, Andrew Cross, Ismael Faro, Andreas Fuhrer, Jay M. Gambetta, Takashi Imamichi, Antonio Mezzacapo, Ramis Movassagh, Anna Phan, Rudy Raymond, Ninad Sathaye, Kristan Temme, Chris Wood, James Wootton. +Jerry Chow, Antonio Córcoles, Abigail Cross, Andrew Cross, Ismael Faro, Andreas Fuhrer, Jay M. Gambetta, Takashi Imamichi, Antonio Mezzacapo, Ramis Movassagh, Anna Phan, Rudy Raymond, Ninad Sathaye, Kristan Temme, Chris Wood, James Wootton, Russell Rundle, Mark Everitt, Vincent Dwyer. In future updates anyone who contributes to the tutorials can include their name here. From b2f0ed33b567ee2949e8a855906cb77de7f26c41 Mon Sep 17 00:00:00 2001 From: Mark Everitt Date: Sat, 11 Nov 2017 03:37:30 +0000 Subject: [PATCH 3/6] Update README.rst --- README.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.rst b/README.rst index 8675ed550..b0b82b3e6 100644 --- a/README.rst +++ b/README.rst @@ -193,7 +193,7 @@ Other QISKit projects Contributors (alphabetically) ----------------------------- -Jerry Chow, Antonio Córcoles, Abigail Cross, Andrew Cross, Ismael Faro, Andreas Fuhrer, Jay M. Gambetta, Takashi Imamichi, Antonio Mezzacapo, Ramis Movassagh, Anna Phan, Rudy Raymond, Ninad Sathaye, Kristan Temme, Chris Wood, James Wootton, Russell Rundle, Mark Everitt, Vincent Dwyer. +Jerry Chow, Antonio Córcoles, Abigail Cross, Andrew Cross, Ismael Faro, Andreas Fuhrer, Jay M. Gambetta, Takashi Imamichi, Antonio Mezzacapo, Ramis Movassagh, Anna Phan, Rudy Raymond, Ninad Sathaye, Kristan Temme, Chris Wood, James Wootton, Russell Rundle, Mark Everitt, Todd Tilma, Vincent Dwyer. In future updates anyone who contributes to the tutorials can include their name here. From 0eb55e39831cd442717ed5682808eb3bd5c7c692 Mon Sep 17 00:00:00 2001 From: Mark Everitt Date: Sat, 11 Nov 2017 03:39:45 +0000 Subject: [PATCH 4/6] alphabetically ordered authors --- README.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.rst b/README.rst index b0b82b3e6..621eb117e 100644 --- a/README.rst +++ b/README.rst @@ -193,7 +193,7 @@ Other QISKit projects Contributors (alphabetically) ----------------------------- -Jerry Chow, Antonio Córcoles, Abigail Cross, Andrew Cross, Ismael Faro, Andreas Fuhrer, Jay M. Gambetta, Takashi Imamichi, Antonio Mezzacapo, Ramis Movassagh, Anna Phan, Rudy Raymond, Ninad Sathaye, Kristan Temme, Chris Wood, James Wootton, Russell Rundle, Mark Everitt, Todd Tilma, Vincent Dwyer. +Jerry Chow, Antonio Córcoles, Abigail Cross, Andrew Cross, Vincent Dwyer, Mark Everitt, Ismael Faro, Andreas Fuhrer, Jay M. Gambetta, Takashi Imamichi, Antonio Mezzacapo, Ramis Movassagh, Anna Phan, Rudy Raymond, Russell Rundle, Ninad Sathaye, Kristan Temme, Todd Tilma, Chris Wood, James Wootton. In future updates anyone who contributes to the tutorials can include their name here. From e79a291914d89c0e8eb11d105b2e7a237a2bfc8f Mon Sep 17 00:00:00 2001 From: Mark Everitt Date: Mon, 13 Nov 2017 20:19:27 +0000 Subject: [PATCH 5/6] updated to work with changes to qiskit --- 3_qcvv/wigner_functions.ipynb | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/3_qcvv/wigner_functions.ipynb b/3_qcvv/wigner_functions.ipynb index b1190d47e..070b72ea6 100644 --- a/3_qcvv/wigner_functions.ipynb +++ b/3_qcvv/wigner_functions.ipynb @@ -142,7 +142,7 @@ } ], "source": [ - "wfv.plot_wigner_function(density_matrix, res=200)" + "plot_wigner_function(density_matrix, res=200)" ] }, { @@ -492,7 +492,7 @@ " point += 1\n", " \n", "thetas = np.vstack((the1,the2))\n", - "bell_circuits = tomo.build_wigner_circuits(Q_program, 'bell', phis, thetas, \n", + "bell_circuits = tomo.build_wigner_circuits(Q_program, phis, thetas, \n", " bell_qubits, qr, cr)\n", "bell_result = Q_program.execute(bell_circuits, backend=backend, shots=shots)\n", "print(bell_result)\n", @@ -500,7 +500,7 @@ " bell_circuits, shots=shots)\n", "wdata = np.matrix(wdata)\n", "wdata = wdata.reshape(theta1_points,theta2_points) \n", - "wfv.plot_wigner_data(wdata, method='plaquette')" + "plot_wigner_data(wdata, method='plaquette')" ] }, { @@ -545,7 +545,7 @@ " \n", "thetas = np.vstack((theta,theta))\n", "phis = np.vstack((phi,phi))\n", - "bell_eq_circuits = tomo.build_wigner_circuits(Q_program, 'bell', phis, thetas, \n", + "bell_eq_circuits = tomo.build_wigner_circuits(Q_program, phis, thetas, \n", " bell_qubits, qr, cr)\n", "bell_eq_result = Q_program.execute(bell_eq_circuits, backend=backend, shots=shots)\n", "wdata_eq = tomo.wigner_data(bell_eq_result, 'bell', bell_qubits,\n", @@ -617,7 +617,7 @@ "for i in range(equator_points):\n", " phi[i] = 2*i*np.pi/equator_points\n", "phis = np.vstack((phi,phi,phi,phi,phi))\n", - "ghz_eq_circuits = tomo.build_wigner_circuits(Q_program, 'ghz', phis, thetas, \n", + "ghz_eq_circuits = tomo.build_wigner_circuits(Q_program, phis, thetas, \n", " ghz_qubits, qr, cr)\n", "ghz_eq_result = Q_program.execute(ghz_eq_circuits, backend=backend, shots=shots)\n", "wghzdata_eq = tomo.wigner_data(ghz_eq_result, 'ghz', ghz_qubits,\n", From 84dd537b4e3fbf16f70df215f03a0b2bfaacd1dd Mon Sep 17 00:00:00 2001 From: Mark Everitt Date: Mon, 13 Nov 2017 21:19:19 +0000 Subject: [PATCH 6/6] Updated following test Now works agains updated libraries but not we were unable to confirm against the simulator but not the experiment as the experiments timed out. --- 3_qcvv/wigner_functions.ipynb | 87 +++++++++++++++++++---------------- 1 file changed, 48 insertions(+), 39 deletions(-) diff --git a/3_qcvv/wigner_functions.ipynb b/3_qcvv/wigner_functions.ipynb index 070b72ea6..755046611 100644 --- a/3_qcvv/wigner_functions.ipynb +++ b/3_qcvv/wigner_functions.ipynb @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 8, "metadata": { "collapsed": true }, @@ -57,7 +57,7 @@ "import numpy as np\n", "\n", "# importing the QISKit\n", - "sys.path.append('.../...')\n", + "sys.path.append('../..')\n", "from qiskit import QuantumCircuit, QuantumProgram\n", "import Qconfig\n", "\n", @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -107,6 +107,15 @@ "print(density_matrix)" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -116,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 3, "metadata": { "collapsed": true }, @@ -127,14 +136,14 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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mCk7XyZMnAQA333xzwenasmWLiK7WQT6oJkFEllBz8vk8/uAP/gAf/OAH26b2VTVkMhn8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\nPRdy3+FYrlZgueDT6cDvB1Uhp37xf92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oiypaT64IbUuhQXK06PWRaLAdLNup4oInjqBo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\nN+Ib3/gGVq9e7fRwhKEhkpUlSK5rCHR0dODw4cPo6OhAVVUVGhoaUFZW5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AP33HOP08MR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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -212,16 +221,16 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 17, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -250,7 +259,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -262,9 +271,9 @@ }, { "data": { - "image/png": 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JppBIvBdAJ2KxXrzpTQ/VqruLovWcLD4CkHKvSBh0Ilg3ihwr28miJHmwbdzN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u1c+VgyiiB7PYhmU5MtXkZ0lQ9JBSMCBmQUrVhKRcR6PYNYccYhLT+WbDQ0KUzeL5YybZ/DlSrD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\nOCFytfwpJEwF5MxB8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28R+SLDOydJiRlftlqaDbmULP5wtpRbSnfn/iiTROlto4h8Vsis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4qKZ9XCzt52R1Wst8ZCAPjQFmdCA5XvSjS9sCRjSn2H6rEIvpMGEiYQRRIqFv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -334,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -345,14 +354,14 @@ ] }, { - "data": { - "image/png": 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qfjxvpR/8P14MXvqG7/s3lemwAcAzvu8/a8bkPQTg1wFwMeUDGPbMt94EgCMA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BAAAg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\n0VQegpLHSZiA4BIIZrTJavd6rb6UYE6Rp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pIlX9+uUKmupEI4qVKnA+Uq6+q4rOlCc1rN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\nQmCC\n", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:IBMQuantumExperience.IBMQuantumExperience:Got a 502 code response to https://quantumexperience.ng.bluemix.net/api/Jobs?access_token=GwcNFfr1iDZovxtQleJdVmQcahhsWNXd0QIwrkvL872GMIE2R4utDnwvwGUspjgl: 502 Bad Gateway: Registered endpoint failed to handle the request.\n", + "\n", + "WARNING:IBMQuantumExperience.IBMQuantumExperience:Got a 502 code response to https://quantumexperience.ng.bluemix.net/api/Jobs?access_token=GwcNFfr1iDZovxtQleJdVmQcahhsWNXd0QIwrkvL872GMIE2R4utDnwvwGUspjgl: 502 Bad Gateway: Registered endpoint failed to handle the request.\n", + "\n" + ] } ], "source": [ @@ -375,7 +384,7 @@ "bell_tomo_result = Q_program.execute(bell_tomo_circuits, backend=backend, shots=shots, timeout=300)\n", "bell_tomo_data = tomo.state_tomography_data(bell_tomo_result, 'bell', bell_qubits)\n", "rho_fit_ibmqx5 = tomo.fit_tomography_data(bell_tomo_data)\n", - "plot_wigner_function(np.matrix(rho_fit_ibmqx5),res=200)" + "plot_wigner_function(np.matrix(rho_fit_ibmqx5),res=100)" ] }, { @@ -453,7 +462,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -466,9 +475,9 @@ }, { "data": { - "image/png": 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i/E1+vh6BAjXJJBhUruK4cXrsJlLbQInk7t322wR1bMuWAcopt6tiR1VcLpVS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\nvVTHx+75Q+kLcmsJ16b5K55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DerDOPNN6L9kw1OU76qiav+/duzEvvHCs5aELv9/ghRf6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goBOTmlyM+XE66opbq6JtuiuWl5kagqhS1qY8myKC8HfvlFbq8HAEVFtqw7CQfTpNGW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\nRgAAAABJRU5ErkJggg==\n", 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GDlTht+bN9Qljbq6HgQMbc8klpxOL6emJCAEXXTSQrKwMTDT6H0ebIE+c2FZbXmMsZjFm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\nV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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -492,11 +501,11 @@ " point += 1\n", " \n", "thetas = np.vstack((the1,the2))\n", - "bell_circuits = tomo.build_wigner_circuits(Q_program, phis, thetas, \n", + "bell_circuits = tomo.build_wigner_circuits(Q_program, 'bell', phis, thetas, \n", " bell_qubits, qr, cr)\n", "bell_result = Q_program.execute(bell_circuits, backend=backend, shots=shots)\n", "print(bell_result)\n", - "wdata = tomo.wigner_data(bell_result, 'bell', bell_qubits,\n", + "wdata = tomo.wigner_data(bell_result, bell_qubits,\n", " bell_circuits, shots=shots)\n", "wdata = np.matrix(wdata)\n", "wdata = wdata.reshape(theta1_points,theta2_points) \n", @@ -513,7 +522,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -525,9 +534,9 @@ }, { "data": { - "image/png": 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lDcvSGXJ7dDB4Eirru1iYGk10eIjVocyqWR0EFpErGU0A3z7HOfeKSJmIlLW1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\n98gHxxhwj3D/VXr1b2cblqU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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -545,10 +554,10 @@ " \n", "thetas = np.vstack((theta,theta))\n", "phis = np.vstack((phi,phi))\n", - "bell_eq_circuits = tomo.build_wigner_circuits(Q_program, phis, thetas, \n", + "bell_eq_circuits = tomo.build_wigner_circuits(Q_program, 'bell', phis, thetas, \n", " bell_qubits, qr, cr)\n", "bell_eq_result = Q_program.execute(bell_eq_circuits, backend=backend, shots=shots)\n", - "wdata_eq = tomo.wigner_data(bell_eq_result, 'bell', bell_qubits,\n", + "wdata_eq = tomo.wigner_data(bell_eq_result, bell_qubits,\n", " bell_eq_circuits, shots=shots)\n", "plot_wigner_data(wdata_eq, method='curve')" ] @@ -564,7 +573,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -576,9 +585,9 @@ }, { "data": { - "image/png": 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MBYUsCJvfymPQZ9+z1YdWHJtKYAZrCSGqF7C4VUDYY4fnCB8UQggmIx7hlECVWgPZUq2n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\nTQA/pJQKtX4AXwTwDwA02p4Taf0AQAE8TQi5SAj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5vaZDCMhqIfR7HUK1hBahDTRHGoAGU2GPUB6AVQeZeMSvxMJzgozMSxYqmpeA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\nKO/5HzDGfhMmWT8AEJGXiPz8ZwDvBnAeJrkGxtg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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -617,10 +626,10 @@ "for i in range(equator_points):\n", " phi[i] = 2*i*np.pi/equator_points\n", "phis = np.vstack((phi,phi,phi,phi,phi))\n", - "ghz_eq_circuits = tomo.build_wigner_circuits(Q_program, phis, thetas, \n", + "ghz_eq_circuits = tomo.build_wigner_circuits(Q_program, 'ghz', phis, thetas, \n", " ghz_qubits, qr, cr)\n", - "ghz_eq_result = Q_program.execute(ghz_eq_circuits, backend=backend, shots=shots)\n", - "wghzdata_eq = tomo.wigner_data(ghz_eq_result, 'ghz', ghz_qubits,\n", + "ghz_eq_result = Q_program.execute(ghz_eq_circuits, backend=backend, shots=shots, timeout = 300)\n", + "wghzdata_eq = tomo.wigner_data(ghz_eq_result, ghz_qubits,\n", " ghz_eq_circuits, shots=shots)\n", "plot_wigner_data(wghzdata_eq, method='curve')" ] @@ -708,7 +717,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.6.1" } }, "nbformat": 4,