{ "cells": [ { "cell_type": "markdown", "id": "d06baf83", "metadata": {}, "source": [ "# SOQCS Example 2: CNOT circuit." ] }, { "cell_type": "markdown", "id": "1ca2492b", "metadata": {}, "source": [ "

We use SOQCS to simulate a CNOT circuit as described in [1].

\n", "\n", "[1] J L O'Brien, G J Pryde, A G White, T C Ralph, D Branning Demonstration of an all-optical quantum controlled-NOT gate. Nature 426:264 (2003)\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "5f976a0f", "metadata": {}, "outputs": [], "source": [ "# Import libraries\n", "import soqcs # Import SOQCS\n", "from math import acos,sqrt,pi # Import mathematical functions\n", "\n", "# Create a simulator\n", "sim=soqcs.simulator()" ] }, { "cell_type": "markdown", "id": "5e98ec10", "metadata": {}, "source": [ "## Building a CNOT circuit" ] }, { "cell_type": "markdown", "id": "8a09c256", "metadata": {}, "source": [ "

Here we build a circuit as described in [1]. Note that we are not defining the inputs like in example one. We left the channels open to indicate that we will append this circuit to the output of other circuit. Open channels helps to clarify the functionality of the circuit graphically like the barrier definition. A channel without any defined input will work in the same way.

" ] }, { "cell_type": "code", "execution_count": 2, "id": "c61251d8", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cnot = soqcs.qodev(2,6);\n", "cnot.open_channel(0)\n", "cnot.open_channel(1)\n", "cnot.open_channel(2)\n", "cnot.open_channel(3)\n", "cnot.open_channel(4)\n", "cnot.open_channel(5)\n", "cnot.separator()\n", "cnot.beamsplitter(3,4, -45.0,0.0)\n", "cnot.separator()\n", "cnot.beamsplitter(0,1,180*acos(1.0/sqrt(3.0))/pi,0.0)\n", "cnot.beamsplitter(2,3,180*acos(1.0/sqrt(3.0))/pi,0.0)\n", "cnot.beamsplitter(4,5,180*acos(1.0/sqrt(3.0))/pi,0.0)\n", "cnot.separator()\n", "cnot.beamsplitter(3,4, -45.0,0.0)\n", "cnot.separator()\n", "cnot.phase_shifter(1, 180)\n", "cnot.phase_shifter(3, 180)\n", "cnot.separator()\n", "cnot .detector(0,0)\n", "cnot.detector(1)\n", "cnot.detector(2)\n", "cnot.detector(3)\n", "cnot.detector(4)\n", "cnot.detector(5,0)\n", "cnot.show(sizexy=80,depth=13)" ] }, { "cell_type": "markdown", "id": "8c2fb513", "metadata": {}, "source": [ "## Qubit declaration" ] }, { "cell_type": "markdown", "id": "dca82b9f", "metadata": {}, "source": [ "

We will relate the input channels with the qubit definition. In this case, we use a path encoded photon initialization. A pair of channels define a qubit. If the occupation of that pair of channels is \"01\" then the qubit value is \"0\". If the occupation is \"10\" then the value is \"1\". Below we define a 2xn matrix with as many columns as qubits. The first row determines the leftmost value while evaluating occupations.

" ] }, { "cell_type": "code", "execution_count": 3, "id": "d17abcb5", "metadata": {}, "outputs": [], "source": [ "qmap=[[1, 3],\n", " [2, 4]]" ] }, { "cell_type": "markdown", "id": "3a4cf555", "metadata": {}, "source": [ "## Example with | 1, 0 > input." ] }, { "cell_type": "markdown", "id": "3619d134", "metadata": {}, "source": [ "

Below we create a circuit and we define the input adding the photons to the circuit. The initialization can be done directly from the qubit values. In this case the list qlist=[1,0]. Channels that do not belong to a qubit definition are the ancilla channels. We initialize both channel 0 and 5 to zero with the list ancilla=[0,0] The values of this list are assigned to the channels in order by their channel number. Once the circuit is initialized we append the previous circuit with the gate definitions.

" ] }, { "cell_type": "code", "execution_count": 4, "id": "13e0d142", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cnot10=soqcs.qodev(2,6); # Create a circuit\n", "cnot10.qubits(qlist=[1,0],ancilla=[0,0],qmap=qmap) # Define the input\n", "cnot10 << cnot # Append the gates\n", "cnot10.show(depth=20,slin=1) # Show the resulting circuit." ] }, { "cell_type": "markdown", "id": "67ce128c", "metadata": {}, "source": [ "Simulation and plot of the output. The output is a photonic one therefore we need to traslate this output into qubit encoding before the plot." ] }, { "cell_type": "code", "execution_count": 5, "id": "a6bdbc96", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "outcome=sim.run(cnot10) # Run the simulation\n", "encoded=outcome.translate(qmap, cnot10) # Encode the output\n", "encoded.show(sizex=5,dpi=70) # Plot the result" ] }, { "cell_type": "markdown", "id": "548d22ca", "metadata": {}, "source": [ "## Additional results" ] }, { "cell_type": "markdown", "id": "bc091ff2", "metadata": {}, "source": [ "Here we repeat the same process for the rest of the inputs." ] }, { "cell_type": "markdown", "id": "5696bc9f", "metadata": {}, "source": [ "### |0, 0 > input" ] }, { "cell_type": "code", "execution_count": 6, "id": "50075582", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cnot00=soqcs.qodev(2,6); \n", "cnot00.qubits([0,0],[0,0],qmap) \n", "cnot00 << cnot \n", "outcome=sim.run(cnot00)\n", "encoded=outcome.translate(qmap, cnot10)\n", "encoded.show(sizex=5,dpi=70)" ] }, { "cell_type": "markdown", "id": "7003dc3e", "metadata": {}, "source": [ "### |0, 1 > input" ] }, { "cell_type": "code", "execution_count": 7, "id": "94b21aba", "metadata": {}, "outputs": [ { "data": { "image/png": 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rgdfM7FVgcPygu6+fysZEROaSbMLy6fQ/EZHzTjYnpes6lSJy3srqhmVmVmhmHzezL5pZcXpenZmVR1x+s5m1pm9uti1kfL2ZtZhZu5ndPW5+rpn9r/Sy+3U3SRGZadmclH4p8HcEVxhaRXCTsiTBuZcrgBvPsvxi4CGCk9r7gCYz+2t37xlX9tX04/0r8GJ6fB/wu8Ar7v7x9N0jL4zat4jIVMjmM8s/Ar7h7p81s/5x858muDfP2awHWtz9CICZ7QQ2Ak+kp5cDi9395fT048AWYB/B7XbXALj7IHDsTCtKpVI0NYXfN23NmjXk5+cDcODAAXp7w68uV1FRQUVFBQCJRILDhw+H1uXl5VFbWwvA4OAge/fuzdhXXV0dOTk5ALS2tpJKpULrVqxYwbJlywDo6uqis7MztK6wsJDq6uBSoidPnmT//rDLjQbq6+uJxYI3Ei0tLQwMDITWrVq1iuLiYgA6Ojro7u4OrSspKWHlypUA9Pf309bWFloXi8Wor68fm25ubmZkZCS0tqamhng8DsChQ4fo6ekJrSsrK6OqqgqAZDLJwYPh375dsmQJ69YFlzEYGRmhubk5tA6gtraWvLw8ANrb2+nr65swfvRosMnH43EKCgoAOHEiRW/vxLpROTkXUFq6FIDh4eGMv0eA8vIyYrFFACQSrzM4OBRaV1RUNLbtHj/eT3//8dC63NwlFBeXAME2mUgkQuuAsW0coLv7NYaHw5+b4uJicnODE2H6+npJpU6E1uXn51FUdBEAAwMDGZ/DWCxGefmbb0i7uo7iGb7mUlpaOva6SSaTnDp1KrSuoOBC4vFCIHg9HDt2jKam039Hubm5rF27Fgiemz179oSveHLPkaoCVwHbQ+YfBaK8DV8OHBk33QFUnm3czC4ChoA/NLMmM/ummcUnP7iZbTOzRjNrTCaTEdoREYnOPFOcTy40Owq83913p/csf8bdXzWzzcCj7r7yLMt/BLjG3W9JT98BjLj7g+npq4B73H3zuPr3Al8AuoHN7v6Mmf0+4O7+PzKtq6GhwRsbGyP9v0SiePi5V2a7BTkHt153SVb1ZrbL3RvCxrK9+O/9ZraU9PfC0wH3EPB4hOWPMHFPsopgr/Rs4wmgz92fSc//PlCfRd8iIm9ZNmH5O8AhggArIDgI0wi8BNwTYfndQJ2ZVabfRm8Cnh0ddPdOYNjMLksfDNoK7PBg1/dH467Q/j7C7wUkIjJtsjnP8hTwCTO7l+DivwVAs7tHen/i7kNmdjvwAkFIP+Dub6QP9GxLh+UtBAd8coHH3H30aMldwGPpkP134Nej9i0iMhXO5eK//04QWFlz96eApybN2zTu50bevAr7+JpXgXefyzpFRKZCNudZfuNM4+7+G2+9HRGRuSmbPcu8SdMXAJcSnDa0c8o6EhGZg7L5zHJr2Hwze5jgnuIiIgtWVt8Nz+BPgU9PweOIiMxZUxGW7wDCvyMlIrJAZHOA57uTZwE/BTQA909lUyIic002B3gmX/VhBDgAfMndfzh1LYmIzD3ZHOD5xHQ2IiIyl2XzNjw/aq27h1+/SURknsrmbfhx0hfQiGDROfQiIjJnZROWnwS+RHCF9EaCAzzvBD5OcCXzV6e6ORGRuSKbsPx14DPuPv6o+FNmtge4xd3fO7WtiYjMHdmcZ/lOIOz663sIrqIuIrJgZROWbcBvp681CYCZLQJ+G2if6sZEROaSbN6G/xbwt8Dm9FtvJ7hieQ7w/qlvTURk7sjmPMt/MrOVwH8BVqdn/w3wuLv3Z1pORGQhyOriv+lQ/No09SIiMmdldSENM9tqZj82s8NmdnF63s1mdv30tCciMjdEDksz+xTwCPAcsJQ3TzxPERzkERFZsLLZs/xvwCfd/UvA8Lj5/0JwxXQRkQUrm7BcCewNmT8ERP7euIjIfJRNWL5CcGL6ZB8gPERFRBaMbI6GfwH4czOrJAjZLWZ2CcF3xj80Hc2JiMwV2Zxn+VdmlgB+j+CgzpeBZuCD7q67O4rIghYpLM3sAoIrDj3q7j83vS2JiMw9kT6zdPdB4FPoOpUicp7K5gDP08Cm6WpERGQuy+YAzz7gi2b2HuD/ARNuHeHufzqVjYmIzCVnDUszy3H3/wS2Ab0Et75tmFTmgMJSRBasKHuWJ82swt1XAZjZwwS3v01Mb2siInNHlM8sbdL0J4HCaehFRGTOyuqqQ2mTw1NEZMGLEpbO6bfAjXpLXBGRBSHKZ5YGbDezgfR0LvComaXGF7n7r0x1cyIic0WUsPzWpOm/mI5GRETmsrOGpbt/YiYaERGZy87lAM85M7PNZtZqZm1mti1kfL2ZtZhZu5ndHTL+pJn9ZGa6FRF504yFZfp+4w8B1wLvAO4ys5JJZV8FtgJrCC4BVzdu+euYeIV2EZEZM5N7luuBFnc/kr5L5E5g4+igmS0HFrv7y+4+BDwObEmPXQB8DrhvBvsVERmT1a1w36LlwJFx0x1A5VnGr0n/fBvBgaZI9ydPpVI0NTWFjq1Zs4b8/OAuGAcOHKC3tze0rqKigoqKCgASiQSHDx8OrcvLy6O2thaAwcFB9u7NfNH4uro6cnJyAGhtbSWVSoXWrVixgmXLlgHQ1dVFZ2dnaF1hYSHV1dUAnDx5kv3792dcd319PbFY8LexpaWFgYGB0LpVq1ZRXFwMQEdHB93d3aF1JSUlrFy5EoD+/n7a2tpC62KxGPX19WPTzc3NjIyMhNbW1NQQj8cBOHToED09PaF1ZWVlVFVVAZBMJjl48GBo3ZIlS1i3bh0AIyMjNDc3h9YB1NbWkpeXB0B7ezt9fX0Txo8eDTa9eDxOQUEBACdOpOjtnVg3KifnAkpLlwIwPDyc8fcIUF5eRiwWXNArkXidwcGh0LqioqKxbff48X76+4+H1uXmLqG4OHjTNjg4SCKR+ct2o9s4QHf3awwPhz83xcXF5ObmAtDX10sqdSK0Lj8/j6KiiwAYGBjI+BzGYjHKy8vHpru6juIZTkgsLS0de90kk0lOnToVWldQcCHxePB9mZMnT3Ls2DGamk7/HeXm5rJ27VogeG727NkTvuLJPUeqmhphJ7P72cbTV2b/eU4/Kj/xwc22mVmjmTUmk8m30KaIyOnMM8X5VK/I7F3AHe7+gfT0I8Aud388Pb0ceMbdL09P3wrkAXuA7cAAwZ7wMuDv3T3j5eIaGhq8sbFxOv87cp55+LlXZrsFOQe3XndJVvVmtsvdJ18oCJjZPcvdQJ2ZVZpZnODamM+ODrp7JzBsZpelDwZtBXa4+zPuXuHuK4H3AHvPFJQiItNhxsIyfdDmduAF4CXgK+7+hpntTO9VAtwCPAG0AjvdXXeNFJE5YSYP8ODuTwFPTZq3adzPjcC6Myx/CLhyuvoTEclkRk9KFxGZrxSWIiIRKCxFRCJQWIqIRKCwFBGJQGEpIhKBwlJEJAKFpYhIBApLEZEIFJYiIhEoLEVEIlBYiohEoLAUEYlAYSkiEoHCUkQkAoWliEgECksRkQgUliIiESgsRUQiUFiKiESgsBQRiUBhKSISgcJSRCQChaWISAQKSxGRCBSWIiIRKCxFRCJQWIqIRKCwFBGJQGEpIhKBwlJEJAKFpYhIBApLEZEIFJYiIhEoLEVEIlBYiohEoLAUEYlgRsPSzDabWauZtZnZtpDx9WbWYmbtZnb3uPmPp5fbZ2ZfnsmeRURgBsPSzBYDDwHXAu8A7jKzkkllXwW2AmuALWZWl57/bXdfDdQDDWZ27cx0LSISWDyD61oPtLj7EQAz2wlsBJ5ITy8HFrv7y+npx4EtwD53/yGAuw+Z2V6g8kwrSqVSNDU1hY6tWbOG/Px8AA4cOEBvb29oXUVFBRUVFQAkEgkOHz4cWpeXl0dtbS0Ag4OD7N27N2NfdXV15OTkANDa2koqlQqtW7FiBcuWLQOgq6uLzs7O0LrCwkKqq6sBOHnyJPv378+47vr6emKx4G9jS0sLAwMDoXWrVq2iuLgYgI6ODrq7u0PrSkpKWLlyJQD9/f20tbWF1sViMerr68emm5ubGRkZCa2tqakhHo8DcOjQIXp6ekLrysrKqKqqAiCZTHLw4MHQuiVLlrBu3ToARkZGaG5uDq0DqK2tJS8vD4D29nb6+vomjB892g9APB6noKAAgBMnUvT2TqwblZNzAaWlSwEYHh7O+HsEKC8vIxZbBEAi8TqDg0OhdUVFRWPb7vHj/fT3Hw+ty81dQnFxsB8yODhIIpHIuO7RbRygu/s1hofDn5vi4mJyc3MB6OvrJZU6EVqXn59HUdFFAAwMDGR8DmOxGOXl5WPTXV1HcQ/vsbS0dOx1k0wmOXXqVGhdQcGFxOOFQPB6OHbsGE1Np/+OcnNzWbt2LRA8N3v27Alf8eSeI1VNjeXAkXHTHUwMvbONY2aFwPXAjyc/uJltM7NGM2tMJpNT1bOICADmmeJ8qldk9hHgGne/JT19BzDi7g+mp68C7nH3zePq3+vun05PG/BXwD+PLpNJQ0ODNzY2Tt9/Rs47Dz/3ymy3IOfg1usuyarezHa5e0PY2EzuWR5h4p5iFXA0i/EHgJ6zBaWIyHSYybDcDdSZWaWZxYFNwLOjg+7eCQyb2WXpg0FbgR0AZnYTwcGdT81gvyIiY2YsLN19CLgdeAF4CfiKu79hZjvTB3cAbiE44NMK7HT30aMljwIrgX8xs2Yz+8RM9S0iAjN7NBx3fwp4atK8TeN+bgTWhSw3o32KiEymb/CIiESgsBQRiUBhKSISgcJSRCQChaWISAQKSxGRCBSWIiIRKCxFRCJQWIqIRKCwFBGJQGEpIhKBwlJEJAKFpYhIBApLEZEIFJYiIhEoLEVEIlBYiohEoLAUEYlAYSkiEoHCUkQkAoWliEgECksRkQgUliIiESgsRUQiUFiKiESgsBQRiUBhKSISgcJSRCQChaWISAQKSxGRCBSW88zTTz/N6tWrqampYfv27aeN7969m3Xr1lFdXc0XvvCFsfkHDhzgyiuvpLq6mptuugl3ByCRSLBhwwZqamr44Ac/yKlTp2bs/yIynygs55GhoSFuu+02nn/+eZqamrj//vvp6emZUHPzzTfzxBNP8G//9m/s2LGDffv2AXDnnXdy77330t7ezmuvvcYzzzwDwJe//GU+9KEP0dbWxsUXXxwawCKisJxXRvcaKysricfjbNq0iWeffXZsvLOzk6GhIS677DIWL17MDTfcwI4dO3B3XnzxRa6//noAbrzxRnbs2AHAjh07+LVf+7XT5ovIRArLeaSzs5PKysqx6aqqKo4cOXLW8TfeeIOSkhLM7LTlent7KSoqCn08EXmTwnIeGf2ccbzRADzT+JmWG7982LSIBBSW80hlZeWEPb+Ojg4qKirOOr506VJ6enrGQnP8coWFhfT29oY+noi8aUbD0sw2m1mrmbWZ2baQ8fVm1mJm7WZ297j5bzezn6Tnf83O092f9evXs2/fPo4cOUJ/fz87d+5k48aNY+PLly9n0aJFvPzyywwNDfHEE0+wZcsWzIyGhoaxgzrf/va32bJlCwCbN2/mscceO22+iEw0Y2FpZouBh4BrgXcAd5lZyaSyrwJbgTXAFjOrS89/ALjX3auBcuD6mel6blm8eDEPPvggGzZs4PLLL+eOO+6gtLSUTZs20dnZCcCjjz7K1q1bWb16NZs2beLSSy8F4P777+eee+7h7W9/O8uWLRs72PPZz36W733ve1RXV3Pw4EG2bTvtb5iIABb2eda0rMjsXcAd7v6B9PQjQKO7P5GeXg484+6Xp6dvBXKBPwCOAJXu7mb2AeAX3P03M63r0ksv9W9961uhY2vWrCE/Px8Izj0cfQs6WUVFxdhb0kQiweHDh0Pr8vLyqK2tBWBwcJC9e/dm/B3U1dWRk5MDQGtrK6lUKrRuxYoVLFu2DICurq6xIJyssLCQ6upqAE6ePMn+/fszrru+vp5YLPjb2NLSwsDAQGjdqlWrKC4uBoK35d3d3aF1JSUlrFy5EoD+/n7a2tpC62KxGPX19WPTzc3NjIyMhNbW1NQQj8cBOHTo0GmnRY0qKyujqqoKgGQyycGDB0PrlixZwrp16wAYGRmhubk5tA6gtraWvLw8ANrb2+nr65sw/p19/QDE43EKCgoAOHEiRW/vxLpROTkXUFq6FIDh4eGMv0eA8vIyYrFFACQSrzM4OBRaV1RUNLbtHj/eT3//8dC63NwlFBcH+yGDg4MkEomM6x7/sUt392sMD4c/N8XFxeTm5gLQ19dLKnUitC4/P4+ioosAGBgYyPgcxmIxysvLx6a7uo6SKYpKS0vHXjfJZDLjucAFBRcSjxcCwevh2LFjfLQuflpdbm4ua9euBYLnZs+ePWNjV1xxxS53bwh7/MXh7U2L5QShN6oDqDzL+DVAKdDjb6b65OUASL+tH90t6rviiisyJ8f5ZRnw+mw3IXPagt1GvpL9IiszDcxkWIZ9zugRxs+2XDDDfTugM6onMbPGTH8pRUDbSFQzeYDnCBP3CKuAoxHGE0DJuIM6k5cTEZl2MxmWu4E6M6s0sziwCRj7+om7dwLDZnZZ+mDQVmBH+u13I28e1LkR0NdMotPetpyNtpEIZuwAD4CZ/RLwhwQh/YC7/7mZ7QS2uXunmTUAXyc4sPOYu9+bXq4G+A5wEfD3wE3uHv5JtIjINJjRsBQRma/0DR4RkQgUliIiESgsRUQiUFiKiESgsFyAztcLjYhMJ4XlwpSTvlJTjpkVmlnObDckc4uZLZrtHuYbheUCY2a/DHwX+EegH9gJ3GFmV42r0Z7nec7dhyHYFswsNAe0nUyksFxAzKyU4DJ3SeDjwC8ALwOfAp4zs0fMLJ6+epNeCOchM4ub2TfNbKuZlXhgJD22aHxwuk7CnkAnpS8gZnY78GF3vzpk7FeBLwH/AtygF8L5ycw+Q3Bd2RfTs5oIvj78vLsPpWtWAH8EfNLdj818l3PTTF51SKZfHjBiZkvdPWFmucCIu/+nu/+lmZ0EHiW49N2PZ7NRmTXvBr4F/AC4DKgn+CPaZ2b/CPwN8E7gl939Q7PU45ykt+ELyxPA24DfAHD3U+7+n6Nvrdz9KaATqJ29FmW2mFkBkAKOuvt3gd8D7gT+BPhX4D3A14A/A+6brT7nKr0NXyDMLObuI2Z2C3APwcVcvwP8pbu3po9+/izBnsNadz80a83KrDGzC4Gq9DZhox/HmFk+UAf8EvA5YIW7677I4ygsFxgzWwJsINhLuJzgfkaLgG6gGHjW3W+ZvQ5ltplZEcFr/1jI2N3AVnfXu49J9JnlApC+8dsHgDsIQvEoMATsAf6a4LPMVcD3Ca4rKueZSdvI60C3mXUCPwT+3t1Ppf/QXgw8OHudzl3as1wAzOx/AlcCzwEngRKCq84XAq8CX3H38DuKyXlh0jaSApYCP02wrewDHnH3fela09kSp1NYznPp8yVTwCZ3//G4eWsJ3o5/guAdxEfc/ZXZ6lNmzxm2kTXA+whu9BcDfkV/VDPT0fD5r45g73Hsnr7pE41b3H30NKEYwVswOT9l2kb2u/ufEWwji4EPzlJ/84LCcv57leAzqAfN7OLRmaPf0HH348Bj6IVwPtM2MgUUlvOcu6eA3yW4v/q3zeyjZrYMyAFI3/ztCqB99rqU2aRtZGroM8sFwswuJTjJ+JeAPuAfCI6K/wLB26/fcPeXZ69DmW3aRt4aheUCY2ZlwGbgl4EBgiOdT7p7y2z2JXOHtpFzo7BcwEa/1TPbfcjcpW0kOoWliEgEOsAjIhKBwlJEJAKFpYhIBApLEZEIFJYiIhEoLEVEIvj/SBNlkzBGKmwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cnot01=soqcs.qodev(2,6); \n", "cnot01.qubits([0,1],[0,0],qmap) \n", "cnot01 << cnot \n", "outcome=sim.run(cnot01)\n", "encoded=outcome.translate(qmap, cnot10)\n", "encoded.show(sizex=5,dpi=70)" ] }, { "cell_type": "markdown", "id": "c2dfe3a3", "metadata": {}, "source": [ "### |1, 1 > input" ] }, { "cell_type": "code", "execution_count": 8, "id": "5bff2fa5", "metadata": {}, "outputs": [ { "data": { "image/png": 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+ey0bExHZSIoJywfi/0RELjrFfCld96kUkYtWUQ8sM7N6M3uPmX3SzJrieVeYWUfg8vvM7Gj8cLMDCeO7zeyImT1rZrctm58ys/8VL/tDPU1SREqtmC+lvwL4a6I7DF1K9JCyUaLvXv4Y8K5zLF8B3EX0pfZxoNfMvunuI8vKvhiv75+B78XjTwG/BTzt7u+Jnx5ZF9q3iMhaKOYzy/8OfNXdf93MJpbNf4Do2Tznshs44u4nAMzsELAH+Fo8vQ2ocPcn4ul7gRuAp4get7sTwN3ngbEX2lA+n6e3N/m5aTt37qS2thaAY8eOkcvl6O+fWFWXyaRJpzMATE1Nkcsl34WusrKC1tY2AE6fXuTUqYGCfbW3t1NeXg7A8PAQc3PziXUNDfXU1kZ/DyYnJ5mYWN0fQHV1Nc3NzQAsLMwzODiUWAfQ2dmJmQEwODjAwsJiYl1TUyOpVA0A4+Pj5PP5xLqamhoaGxsBmJubZXh4JLHOzOjs7FyazmazuCdfz9DS0kxVVTUAY2NjTE8nP8Wkrq6O+vp6AGZmphkdHUusq6gop62tHQB3J5vNJtYBtLW1UlERPcV5ZGSE2dnZxLpMJkM6nQZgaipPLjeeWFdVVUlLSysAi4uLDAwU3i86OtopK4v2i6GhQebnFxLrGhoalvbdyckJJiYmE+tSqWqamqL9Yn5+nqGhwvtFV1fX0uuBgVMsLp5OrGtqaiKVir4IMz6eI5+fSqyrra2hoaERgNnZWUZGkveLsrIyOjqef0OazfZTYLegpaWFqqoqAEZHR5mZmUmsS6fryGSi/WJ6epqxsTF6e1f/jlKpFLt27QKif5u+vr7kDa/sOagqchVwMGF+PxDyNnwbcGLZ9HFg+7nGzawRWAB+z8x6zewPzCyzcuVmdsDMesysZ3R0NKAdEZFwVuiv/KpCs37gre7+WHxk+Up3/5GZ7QO+4O6XnGP5dwDXuPuN8fQtwGl3vzOevgr4mLvvW1b/JuATwACwz90fNLPfAdzdf7PQtrq7u72npyfo5wK4+5Gng2tFZPO46frLiqo3s8Pu3p00VuzNf+8ws1bi68LjgLsLuDdg+ROcfSS5g+io9FzjQ8C4uz8Yz/8W8NNF9C0i8qIVE5a/BjxHFGBpopMwPcDjwMcCln8MuMLMtsdvo/cCD50ZdPeTwKKZXRmfDNoP3O/Roe/Dy+7Q/maSnwUkIrJuivme5QzwXjO7nejmv2ngB+4e9B7W3RfM7GbgUaKQ/qy7D8cneg7EYXkj0QmfFHCPuz8ZL34rcE8csv8KvDu0bxGRtXA+N//9V6LAKpq73wfct2Le3mWve3j+LuzLa34EvOF8tikishaK+Z7lV19o3N1/+cW3IyKyMRVzZFmzYroSeAXR14YOrVlHIiIbUDGfWe5Pmm9mdxM9U1xEZMsq6trwAr4EfHgN1iMismGtRVi+Gki+RkpEZIso5gTPn62cBXQC3cAda9mUiMhGU8wJnpV3VDgNHAM+7e7fXruWREQ2nmJO8Lx3PRsREdnIinkbXhta6+7J928SEdmkinkbPkl8A40A5efRi4jIhlVMWL4P+DTRHdJ7iE7wvA54D9GdzH+01s2JiGwUxYTlu4FfcfflZ8XvM7M+4EZ3f9PatiYisnEU8z3L1wFJ91/vI7qLuojIllVMWD4D/Gp8r0kAzKwc+FXg2bVuTERkIynmbfgHgb8E9sVvvZ3ojuVVwFvXvjURkY2jmO9ZftfMLgH+E3B5PPsvgHvdPfnxgyIiW0RRN/+NQ/HL69SLiMiGVdSNNMxsv5n9jZn9PzN7STzvQ2b2lvVpT0RkYwgOSzP7APB54BGglee/eJ4nOskjIrJlFXNk+V+B97n7p4HFZfP/keiO6SIiW1YxYXkJ8GTC/AUg+LpxEZHNqJiwfJroi+krvY3kEBUR2TKKORv+CeB/mtl2opC9wcwuI7pm/D+sR3MiIhtFMd+z/IaZDQG/TXRS53eBHwD/3t31dEcR2dKCwtLMKonuOPQFd/+Z9W1JRGTjCfrM0t3ngQ+g+1SKyEWqmBM8DwB716sREZGNrJgTPE8BnzSzNwL/BJz16Ah3/9JaNiYispGcMyzNrMrd54ADQI7o0bfdK8ocUFiKyJYVcmQ5bWZd7n4pgJndTfT426H1bU1EZOMI+czSVky/D6hfh15ERDasou46FFsZniIiW15IWDqrH4Eb+khcEZEtIeQzSwMOmtlsPJ0CvmBm+eVF7v4La92ciMhGERKWf7hi+o/XoxERkY3snGHp7u8tRSMiIhvZ+ZzgOW9mts/MjprZM2Z2IGF8t5kdMbNnzey2hPGvm9n3S9OtiMjzShaW8fPG7wKuA14N3GpmzSvKvgjsB3YS3QLuimXLX8/Zd2gXESmZUh5Z7gaOuPuJ+CmRh4A9ZwbNbBtQ4e5PuPsCcC9wQzxWCfwG8KkS9isisqSoR+G+SNuAE8umjwPbzzF+Tfz6I0QnmoKeT57P5+nt7U0c27lzJ7W10VMwjh07Ri6Xo79/9WozmTTpdAaAqakpcrlc4voqKytobW0D4PTpRU6dGijYV3t7O+Xl0Y2bhoeHmJubT6xraKintrYOgMnJSSYmkn/s6upqmpujg/OFhXkGBwtfVNXZ2YlZ9BXZwcEBFhaSD9KbmhpJpWoAGB8fJ5/PJ9bV1NTQ2NgIwNzcLMPDI4l1ZkZnZ+fSdDabxT35m2ctLc1UVVUDMDY2xvT0dGJdXV0d9fXRdREzM9OMjo4l1lVUlNPW1g6Au5PNZhPrANraWqmoqARgZGSE2dnZxLpMJkM6nQZgaipPLjeeWFdVVUlLSysAi4uLDAwU3i86OtopK4v2i6GhQebnFxLrGhoalvbdyckJJiYmE+tSqWqamqL9Yn5+nqGhwvtFV1fX0uuBgVMsLp5OrGtqaiKVSgEwPp4jn59KrKutraGhoRGA2dlZRkaS94uysjI6OjqWprPZfgrsFrS0tFBVVQXA6OgoMzMziXXpdB2ZTLRfTE9PMzY2Rm/v6t9RKpVi165dQPRv09fXl7zhlT0HVa2NpC+z+7nG4zuz/yyrz8qfvXKzA2bWY2Y9o6OjL6JNEZHVrNBf+TXfkNnrgVvc/W3x9OeBw+5+bzy9DXjQ3V8VT98E1AB9wEFgluhIuA34P+5e8HZx3d3d3tPTE9zb3Y88fV4/k4hsbDddf1lR9WZ22N1X3igIKO2R5WPAFWa23cwyRPfGfOjMoLufBBbN7Mr4ZNB+4H53f9Ddu9z9EuCNwJMvFJQiIuuhZGEZn7S5GXgUeBz4nLsPm9mh+KgS4Ebga8BR4JC766mRIrIhlPIED+5+H3Dfinl7l73uAV7+Ass/B7x2vfoTESmkpF9KFxHZrBSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiARSWIiIBFJYiIgEUliIiAUoalma2z8yOmtkzZnYgYXy3mR0xs2fN7LZl8++Nl3vKzH63lD2LiEAJw9LMKoC7gOuAVwO3mlnzirIvAvuBncANZnZFPP+P3P1y4KeBbjO7rjRdi4hEKkq4rd3AEXc/AWBmh4A9wNfi6W1Ahbs/EU/fC9wAPOXu3wZw9wUzexLY/kIbyufz9Pb2Jo7t3LmT2tpaAI4dO0Yul6O/f2JVXSaTJp3OADA1NUUul0tcX2VlBa2tbQCcPr3IqVMDBftqb2+nvLwcgOHhIebm5hPrGhrqqa2tA2BycpKJidX9AVRXV9PcHP29WViYZ3BwqOC2Ozs7MTMABgcHWFhYTKxramoklaoBYHx8nHw+n1hXU1NDY2MjAHNzswwPjyTWmRmdnZ1L09lsFndPrG1paaaqqhqAsbExpqenE+vq6uqor68HYGZmmtHRscS6iopy2traAXB3stlsYh1AW1srFRWVAIyMjDA7O5tYl8lkSKfTAExN5cnlxhPrqqoqaWlpBWBxcZGBgcL7RUdHO2Vl0X4xNDTI/PxCYl1DQ8PSvjs5OcHExGRiXSpVTVNTtF/Mz88zNFR4v+jq6lp6PTBwisXF04l1TU1NpFIpAMbHc+TzU4l1tbU1NDQ0AjA7O8vISPJ+UVZWRkdHx9J0NttPgd2ClpYWqqqqABgdHWVmZiaxLp2uI5OJ9ovp6WnGxsbo7V39O0qlUuzatQuI/m36+vqSN7yy56CqtbENOLFs+jhnh965xjGzeuAtwN+sXLmZHTCzHjPrGR0dXaueRUQAsEJ/5dd8Q2bvAK5x9xvj6VuA0+5+Zzx9FfAxd9+3rP5N7v7heNqAbwD/cGaZQrq7u72npye4t7sfefo8fiIR2ehuuv6yourN7LC7dyeNlfLI8gRnHynuAPqLGP8sMHKuoBQRWQ+lDMvHgCvMbLuZZYC9wENnBt39JLBoZlfGJ4P2A/cDmNn7iU7ufKCE/YqILClZWLr7AnAz8CjwOPA5dx82s0PxyR2AG4lO+BwFDrn7k/H8LwCXAP9oZj8ws/eWqm8RESjt2XDc/T7gvhXz9i573QO8PGG5kvYpIrKSruAREQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJoLAUEQmgsBQRCaCwFBEJUNKwNLN9ZnbUzJ4xswMJ47vN7IiZPWtmty2b/5Nm9v14/pfNzErZt4hIycLSzCqAu4DrgFcDt5pZ84qyLwL7gZ3ADWZ2RTz/s8Dt7v5SoAN4S2m6FhGJVJRwW7uBI+5+AsDMDgF7gK/F09uACnd/Ip6+lygwjwBXA2+P1/NHwA3AA4U2lM/n6e3tTRzbuXMntbW1ABw7doxcLkd//8SqukwmTTqdAWBqaopcLpe4vsrKClpb2wA4fXqRU6cGCv4C2tvbKS8vB2B4eIi5ufnEuoaGempr6wCYnJxkYmJ1fwDV1dU0N0d/bxYW5hkcHCq47c7OTs4ckA8ODrCwsJhY19TUSCpVA8D4+Dj5fD6xrqamhsbGRgDm5mYZHh5JrDMzOjs7l6az2Szunljb0tJMVVU1AGNjY0xPTyfW1dXVUV9fD8DMzDSjo2OJdRUV5bS1tQPg7mSz2cQ6gLa2VioqKgEYGRlhdnY2sS6TyZBOpwGYmsqTy40n1lVVVdLS0grA4uIiAwOF94uOjnbKyqL9YmhokPn5hcS6hoaGpX13cnKCiYnJxLpUqpqmpmi/mJ+fZ2io8H7R1dW19Hpg4BSLi6cT65qamkilUgCMj+fI56cS62pra2hoaARgdnaWkZHk/aKsrIyOjo6l6Wy2nwK7BS0tLVRVVQEwOjrKzMxMYl06XUcmE+0X09PTjI2N0du7+neUSqXYtWsXEP3b9PX1JW94hVKG5TbgxLLp48D2c4xfA7QAI/78/2ErlwMgflt/5q39+Gte85ofrlHfsvW0AYMXuglZf58rfpFLCg2UMiyTPmf0gPFzLRfNcD8IHDy/1uRiYmY97t59ofuQzaWUJ3hOcPYR4Q6gP2B8CGhedlJn5XIiIuuulGH5GHCFmW03swywF3jozKC7nwQWzezK+GTQfuD++O13D8+f1HkXcH8J+5atR+9ApGglC0t3XwBuBh4FHgc+5+7DZnYoPrkDcCPRCZ+jwCF3fzKefyvwcTM7RvRZ04Ol6lu2nvgjG5GiWKEzkyIi8jxdwSMiEkBhKSISQGEpIhJAYSkiEkBhKSISQGEpIhKglJc7ilwwZnYJUAmcAsqBifi7vyJB9D1L2dLMrAa4BXgH8BNE9xX4LnAI+La7P30B25NNRG/DZav7MFFQ/inwSqJb/Y0AHwf+1sw+dAF7k01ER5aypZnZk8DnV17iaGZlREecNxHdWPrLF6I/2Tx0ZClblpnVAVngp5bNqzazSnc/7e53EB1xvtPMOgqtRwQUlrKFuXse+HNgv5ntiefNuvt8fGQJ8AXgpSTcI1VkOYWlbFnxPVD/BPhL4Btm9rdm9kEz63T302Z2KfB+YMjdCz/3QQR9ZikXCTP7eeDniU7ybAMmiY4mR4BPuHvBZzqJgMJStjgzszPPbzKzTuByoJ3ojvsO3OPuwxewRdkkFJayJZnZ+4GH3P1fAmqXAlWkEH1mKVuOmb0T+BLwz2b292b2yyufUW9mzWb2m2bWpaCUEDqylC3HzP6Q6Kmgfwz8AvA2IAV8G/gK8AjRM52+6e46YJAgujZcthQzO3P994y7Pww8bGa/ClwPvAf4JtETQ6uBey5Un7L56MhSthwz6wK2ufs/rfw80sx2AO8GPgm8yt37LlSfsrnoyFK2HHfvJ362/MrPI939uJnlgEkFpRRDn9fIxagD+MyFbkI2F70Nl4uOmaWBOXefu9C9yOahsBQRCaC34SIiARSWIiIBFJYiIgEUliIiARSWIiIB/j/pHu/yHo8BfgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cnot11=soqcs.qodev(2,6); \n", "cnot11.qubits([1,1],[0,0],qmap) \n", "cnot11 << cnot \n", "outcome=sim.run(cnot11)\n", "encoded=outcome.translate(qmap, cnot10)\n", "encoded.show(sizex=5,dpi=70)" ] }, { "cell_type": "markdown", "id": "78782dc1", "metadata": {}, "source": [ "**THIS CODE IS PART OF SOQCS**
\n", "\n", "**Copyright:**
\n", "Copyright © 2023 National University of Ireland Maynooth, Maynooth University. All rights reserved.\n", "The contents and use of this document and the related code are subject to the licence terms detailed in LICENCE.txt" ] } ], "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 5 }