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Fix qcvv/xeb_theory.ipynb as part of docs cleanup for Cirq 1.0 (#5202)
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* Moved import to top
* Fixed broken link to quantum ai website
* Minor improvements in text formatting
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tanujkhattar authored Apr 8, 2022
1 parent d462024 commit 15e1ed1
Showing 1 changed file with 8 additions and 17 deletions.
25 changes: 8 additions & 17 deletions docs/qcvv/xeb_theory.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "SzKwuqYESWwm"
},
"source": [
"##### Copyright 2021 The Cirq Developers"
]
},
{
"cell_type": "code",
"execution_count": null,
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},
"outputs": [],
"source": [
"#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"#@title Copyright 2021 The Cirq Developers\n",
"# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"# you may not use this file except in compliance with the License.\n",
"# You may obtain a copy of the License at\n",
"#\n",
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"source": [
"<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
" <td>\n",
" <a target=\"_blank\" href=\"https://quantumai.google/cirq/qcvv/xeb_theory>\"><img src=\"https://quantumai.google/site-assets/images/buttons/quantumai_logo_1x.png\" />View on QuantumAI</a>\n",
" <a target=\"_blank\" href=\"https://quantumai.google/cirq/qcvv/xeb_theory\"><img src=\"https://quantumai.google/site-assets/images/buttons/quantumai_logo_1x.png\" />View on QuantumAI</a>\n",
" </td>\n",
" <td>\n",
" <a target=\"_blank\" href=\"https://colab.research.google.com/github/quantumlib/Cirq/blob/master/docs/qcvv/xeb_theory.ipynb\"><img src=\"https://quantumai.google/site-assets/images/buttons/colab_logo_1x.png\" />Run in Google Colab</a>\n",
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"except ImportError:\n",
" print(\"installing cirq...\")\n",
" !pip install --quiet cirq\n",
" import cirq\n",
" print(\"installed cirq.\")"
]
},
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"source": [
"# Standard imports\n",
"import numpy as np\n",
"import cirq\n",
"\n",
"from cirq.contrib.svg import SVGCircuit"
]
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},
"source": [
"### Possible single-qubit rotations\n",
"These 8*8 possible rotations are chosen randomly when constructing the circuit.\n",
"Geometrically, we choose 8 axes in the XY plane to perform a quarter-turn (pi/2 rotation) around. This is followed by a rotation around the Z axis of 8 different magnitudes.\n",
"\n",
"Geometrically, we choose 8 axes in the XY plane to perform a quarter-turn (pi/2 rotation) around. This is followed by a rotation around the Z axis of 8 different magnitudes."
"These 8*8 possible rotations are chosen randomly when constructing the circuit."
]
},
{
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"source": [
"### Random circuit\n",
"\n",
"We use `random_rotations_between_two_qubit_circuit` to generate a random two-qubit circuit. Note that we provide the possible single-qubit rotations from above and declare that our two-qubit operation is the $\\sqrt{i\\mathrm{SWAP}}$ gate."
"We use `cirq.experiments.random_quantum_circuit_generation.random_rotations_between_two_qubit_circuit` to generate a random two-qubit circuit. Note that we provide the possible single-qubit rotations from above and declare that our two-qubit operation is the $\\sqrt{i\\mathrm{SWAP}}$ gate."
]
},
{
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" trunc_circuit = circuit[:circuit_depth]\n",
"\n",
" # Pure-state simulation\n",
" psi = pure_sim.simulate(trunc_circuit)\n",
" psi = psi.final_state_vector\n",
" psi = pure_sim.simulate(trunc_circuit).final_state_vector\n",
" pure_probs = np.abs(psi)**2\n",
"\n",
" # Noisy execution\n",
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