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Hadamard.py
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Hadamard.py
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{
"cells": [
{
"cell_type": "code",
"execution_count": 160,
"id": "d6018b39",
"metadata": {},
"outputs": [],
"source": [
"from qiskit import *\n",
"from qiskit.tools.visualization import plot_bloch_multivector, plot_histogram, array_to_latex\n",
"from math import pi\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 189,
"id": "b1a91ea4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 253.926x144.48 with 1 Axes>"
]
},
"execution_count": 189,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"circuit = QuantumCircuit(1,1)\n",
"circuit.x(0)\n",
"circuit.h(0)\n",
"circuit.h(0)\n",
"circuit.draw(output='mpl')"
]
},
{
"cell_type": "code",
"execution_count": 192,
"id": "b527f140",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/latex": [
"$$\n",
"\\text{statevector = }\n",
"\n",
"\\begin{bmatrix}\n",
"0 & 1 \\\\\n",
" \\end{bmatrix}\n",
"$$"
],
"text/plain": [
"<IPython.core.display.Latex object>"
]
},
"execution_count": 192,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulator = Aer.get_backend('statevector_simulator')\n",
"result = execute(circuit, backend = simulator).result()\n",
"statevector = result.get_statevector()\n",
"array_to_latex(statevector, prefix = \"\\\\text{statevector = }\\n\")"
]
},
{
"cell_type": "code",
"execution_count": 193,
"id": "7e125b5c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"execution_count": 193,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_bloch_multivector(statevector)"
]
},
{
"cell_type": "code",
"execution_count": 194,
"id": "c11ed010",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 314.126x144.48 with 1 Axes>"
]
},
"execution_count": 194,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"circuit.measure(0,0)\n",
"circuit.draw(output='mpl')"
]
},
{
"cell_type": "code",
"execution_count": 195,
"id": "8aeec320",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 195,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulartor = Aer.get_backend('qasm_simulator')\n",
"result = execute(circuit, backend=simulator, shots=1024).result()\n",
"plot_histogram(result.get_counts())"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5a3b3982",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "5eaade69",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "920cfa7f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "972fb7ef",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.10.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}