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Superdense coding and teleportation in Qiskit
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Superdense coding and teleportation in Qiskit",
"provenance": [],
"collapsed_sections": [
"zp0yynx1I9Jl"
],
"authorship_tag": "ABX9TyP0yyZgP8ZhhYY1iuMiqdiU",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/csferrie/e17e0a6d41a9f2df61b946aeb56ea5d7/superdense-coding-and-teleportation-in-qiskit.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "xV7VUIMwH2IT",
"colab_type": "text"
},
"source": [
"# Superdense coding and teleportation in Qiskit\n",
"\n",
"This exercise is part of [Lab 6](https://medium.com/@csferrie/superdense-coding-and-quantum-teleportation-in-three-quantum-programming-languages-3fe7032d1dbc) of [Introduction to Quantum Computing](https://medium.com/@csferrie/introduction-to-quantum-computing-df9e1182a831).\n",
"\n",
"This notebook provides implementation of superdense coding and teleportation in the [Qiskit](https://qiskit.org/) quantum programming language."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zp0yynx1I9Jl",
"colab_type": "text"
},
"source": [
"# Qiskit installation\n",
"\n",
"The first step is to install qiskit. Installation instructions are available in the documentation for Qiskit here: https://qiskit.org/documentation/install.html."
]
},
{
"cell_type": "code",
"metadata": {
"id": "MFG2OUCoyJY1",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "ae4ba04e-1ac5-4f36-b0d6-e3ff48790470"
},
"source": [
"# install qiskit\n",
"!pip install qiskit --quiet"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"\u001b[K |████████████████████████████████| 8.3MB 6.5MB/s \n",
"\u001b[K |████████████████████████████████| 16.5MB 210kB/s \n",
"\u001b[K |████████████████████████████████| 163kB 56.9MB/s \n",
"\u001b[K |████████████████████████████████| 174kB 59.6MB/s \n",
"\u001b[K |████████████████████████████████| 1.9MB 58.0MB/s \n",
"\u001b[K |████████████████████████████████| 51kB 5.1MB/s \n",
"\u001b[K |████████████████████████████████| 5.8MB 52.2MB/s \n",
"\u001b[K |████████████████████████████████| 962kB 54.3MB/s \n",
"\u001b[K |████████████████████████████████| 296kB 61.1MB/s \n",
"\u001b[K |████████████████████████████████| 71kB 6.9MB/s \n",
"\u001b[K |████████████████████████████████| 583kB 49.1MB/s \n",
"\u001b[K |████████████████████████████████| 102kB 9.7MB/s \n",
"\u001b[K |████████████████████████████████| 2.6MB 54.6MB/s \n",
"\u001b[?25h Building wheel for qiskit (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Building wheel for contextvars (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Building wheel for python-constraint (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Building wheel for dlx (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Building wheel for docplex (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Building wheel for yfinance (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "M7uLB5v1JtHm",
"colab_type": "text"
},
"source": [
"Obviously we need to import qiskit. But we will also need numpy later."
]
},
{
"cell_type": "code",
"metadata": {
"id": "zRiG_m_fTIRG",
"colab_type": "code",
"colab": {}
},
"source": [
"import qiskit\n",
"import numpy as np"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "r1NMu4QBTTV2",
"colab_type": "text"
},
"source": [
"# Superdense coding\n",
"\n",
"[Superdense coding](https://en.wikipedia.org/wiki/Superdense_coding) is a protocol that allows the tranmission of two classical bits of information using 1 qubit of information. \n",
"\n",
"This, the simplest implementation in Qiskit, accompanies the [lecture](https://medium.com/@csferrie/my-first-quantum-protocol-de336d290322) on the same topic.\n",
"\n",
"Let's get started. The first thing Alice and Bob need to do is create entanglement.\n",
"\n",
"![ezgif.com-crop 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)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "lCK97MrEWMjn",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 170
},
"outputId": "e656738a-1161-46ca-c1df-1d557b96c0ea"
},
"source": [
"# create two qubits\n",
"alice = qiskit.QuantumRegister(1, name=\"alice\")\n",
"bob = qiskit.QuantumRegister(1, name=\"bob\")\n",
"\n",
"# create bob's measurement registers\n",
"bob0 = qiskit.ClassicalRegister(1, name=\"bob0\") \n",
"bob1 = qiskit.ClassicalRegister(1, name=\"bob1\")\n",
"\n",
"# create cirquit\n",
"superdense = qiskit.QuantumCircuit(alice,bob,bob0,bob1)\n",
"\n",
"print(superdense)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" \n",
"alice_0: \n",
" \n",
" bob_0: \n",
" \n",
" bob0: 1/\n",
" \n",
" bob1: 1/\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "soAWNH5yk4Cp",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 170
},
"outputId": "a46e42d3-0b4b-49b5-ceba-08863bad624a"
},
"source": [
"superdense.h(alice)\n",
"superdense.cx(alice,bob)\n",
"\n",
"print(superdense)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌───┐ \n",
"alice_0: ┤ H ├──■──\n",
" └───┘┌─┴─┐\n",
" bob_0: ─────┤ X ├\n",
" └───┘\n",
" bob0: 1/══════════\n",
" \n",
" bob1: 1/══════════\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CFm4NQNbVMAa",
"colab_type": "text"
},
"source": [
"Now Alice needs to encode her message. There are four possibilities. \n",
"\n",
"If Alice wants to send\n",
"* 00, she does nothing;\n",
"* 01, she performs an $X$ gate;\n",
"* 10, she performs a $Z$ gate;\n",
"* 11, she performs $XZ$.\n",
"\n",
"Let's say Alice choses 11. \n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "sCAKLdh3V26d",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 170
},
"outputId": "ef7bdd97-9b7a-49de-9207-531bd68ae4d4"
},
"source": [
"superdense.x(alice)\n",
"superdense.z(alice)\n",
"\n",
"print(superdense)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌───┐ ┌───┐┌───┐\n",
"alice_0: ┤ H ├──■──┤ X ├┤ Z ├\n",
" └───┘┌─┴─┐└───┘└───┘\n",
" bob_0: ─────┤ X ├──────────\n",
" └───┘ \n",
" bob0: 1/════════════════════\n",
" \n",
" bob1: 1/════════════════════\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tsEySC0hWVN0",
"colab_type": "text"
},
"source": [
"Now Alice sends her qubit to Bob. Bob unentangles them."
]
},
{
"cell_type": "code",
"metadata": {
"id": "4fg_HryHWdJN",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 170
},
"outputId": "71613c7f-7984-402e-99bd-4d1b180802ca"
},
"source": [
"superdense.cx(alice,bob)\n",
"superdense.h(alice)\n",
"\n",
"print(superdense)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌───┐ ┌───┐┌───┐ ┌───┐\n",
"alice_0: ┤ H ├──■──┤ X ├┤ Z ├──■──┤ H ├\n",
" └───┘┌─┴─┐└───┘└───┘┌─┴─┐└───┘\n",
" bob_0: ─────┤ X ├──────────┤ X ├─────\n",
" └───┘ └───┘ \n",
" bob0: 1/══════════════════════════════\n",
" \n",
" bob1: 1/══════════════════════════════\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "R2CSMU5gXQGk",
"colab_type": "text"
},
"source": [
"Finally Bob measures both qubits."
]
},
{
"cell_type": "code",
"metadata": {
"id": "72XXxbakXTW6",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 187
},
"outputId": "f47c7c0b-dd33-4980-868f-84572084d38a"
},
"source": [
"superdense.measure(alice,bob0)\n",
"superdense.measure(bob,bob1)\n",
"\n",
"print(superdense)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌───┐ ┌───┐┌───┐ ┌───┐┌─┐\n",
"alice_0: ┤ H ├──■──┤ X ├┤ Z ├──■──┤ H ├┤M├\n",
" └───┘┌─┴─┐└───┘└───┘┌─┴─┐└┬─┬┘└╥┘\n",
" bob_0: ─────┤ X ├──────────┤ X ├─┤M├──╫─\n",
" └───┘ └───┘ └╥┘ ║ \n",
" bob0: 1/═══════════════════════════╬═══╩═\n",
" ║ 0 \n",
" ║ \n",
" bob1: 1/═══════════════════════════╩═════\n",
" 0 \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "otFJsni1YnMW",
"colab_type": "text"
},
"source": [
"Let's simulate this circuit."
]
},
{
"cell_type": "code",
"metadata": {
"id": "QiBXRNvKYCFg",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "ca1fa5e2-aaff-4508-8ab3-16b8d742f4c3"
},
"source": [
"backend = qiskit.BasicAer.get_backend('qasm_simulator')\n",
"message = qiskit.execute(superdense, backend, shots=1).result().get_counts()\n",
"\n",
"print(message)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"{'1 1': 1}\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mh1pVY2OImtK",
"colab_type": "text"
},
"source": [
"Huzzah! Now, write a function that doesn't necessitate hard-coding Alice's message."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7ypMuhKrY8jI",
"colab_type": "text"
},
"source": [
"# Teleportation\n",
"\n",
"[Quantum teleportation](https://en.wikipedia.org/wiki/Quantum_teleportation) is a protocol that allows the tranmission of 1 qubit of information using two classical bits of information.\n",
"\n",
"This, the simplest implementation in Qiskit, accompanies the [lecture](https://medium.com/@csferrie/my-first-quantum-protocol-de336d290322) on the same topic.\n",
"\n",
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]
},
{
"cell_type": "code",
"metadata": {
"id": "8w3TUx5IYZTq",
"colab_type": "code",
"colab": {}
},
"source": [
"alice_psi = qiskit.QuantumRegister(1, name=\"alice_psi\")\n",
"alice = qiskit.QuantumRegister(1, name=\"alice\")\n",
"bob = qiskit.QuantumRegister(1, name=\"bob\")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "zNyyhOKzbemY",
"colab_type": "text"
},
"source": [
"In Qiskit we need separate classical registers which stored the outcomes of measurements. We'll also create the circuit which contains all registers."
]
},
{
"cell_type": "code",
"metadata": {
"id": "OPPFg2XZbarl",
"colab_type": "code",
"colab": {}
},
"source": [
"alicez = qiskit.ClassicalRegister(1, name=\"alicez\") \n",
"alicex = qiskit.ClassicalRegister(1, name=\"alicex\")\n",
"teleportation = qiskit.QuantumCircuit(alice_psi,alice,bob,alicez,alicex)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "u1J2E5S6AIOT",
"colab_type": "text"
},
"source": [
"Now we create a \"random\" state to teleport. For example, a rotation about the Y-axis of $\\pi/4$. \n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "vnyDDH69ek8I",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"outputId": "f3e0b212-5449-4201-f717-7680fc0fa41f"
},
"source": [
"teleportation.ry(np.pi/4,alice_psi)\n",
"teleportation.barrier() #this just allows the circuit to be easier visualised\n",
"\n",
"print(teleportation)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌──────────┐ ░ \n",
"alice_psi_0: ┤ RY(pi/4) ├─░─\n",
" └──────────┘ ░ \n",
" alice_0: ─────────────░─\n",
" ░ \n",
" bob_0: ─────────────░─\n",
" ░ \n",
" alicez: 1/═══════════════\n",
" \n",
" alicex: 1/═══════════════\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "d8fMOGBmAiHj",
"colab_type": "text"
},
"source": [
"Let's take a look at the state and compare it to the state when the protocol is complete later."
]
},
{
"cell_type": "code",
"metadata": {
"id": "lIevpxS3heeY",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 302
},
"outputId": "7613b4ad-d007-4792-be30-001c9bc5ca85"
},
"source": [
"# uses backend simulator to plot state of Alice's qubit\n",
"\n",
"simulator = qiskit.Aer.get_backend('statevector_simulator')\n",
"\n",
"job = qiskit.execute(teleportation, simulator)\n",
"\n",
"results = job.result()\n",
"\n",
"print(results.get_statevector(teleportation))\n",
"\n",
"qiskit.visualization.plot_bloch_multivector(results.get_statevector(teleportation))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"[0.92387953+0.j 0.38268343+0.j 0. +0.j 0. +0.j\n",
" 0. +0.j 0. +0.j 0. +0.j 0. +0.j]\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"tags": []
},
"execution_count": 13
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "N898apnLiG9c",
"colab_type": "text"
},
"source": [
"Alice and Bob need to entangle their qubits. This is done with the $H$ and $CNOT$ gates."
]
},
{
"cell_type": "code",
"metadata": {
"id": "HpdwhUQBb_82",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"outputId": "1df31e61-0c93-4e27-b730-77046fbd68de"
},
"source": [
"teleportation.h(alice)\n",
"teleportation.cx(alice,bob)\n",
"\n",
"print(teleportation)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌──────────┐ ░ \n",
"alice_psi_0: ┤ RY(pi/4) ├─░───────────\n",
" └──────────┘ ░ ┌───┐ \n",
" alice_0: ─────────────░─┤ H ├──■──\n",
" ░ └───┘┌─┴─┐\n",
" bob_0: ─────────────░──────┤ X ├\n",
" ░ └───┘\n",
" alicez: 1/═════════════════════════\n",
" \n",
" alicex: 1/═════════════════════════\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "roS4qY3sAsh_",
"colab_type": "text"
},
"source": [
"Alice needs to perform an \"entangled\" measurement. She can do this by running the standard $H + CNOT$ circuit in reverse."
]
},
{
"cell_type": "code",
"metadata": {
"id": "Hw8Rcz8kcOjz",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"outputId": "4211592b-d692-4542-8239-cffd88016fdb"
},
"source": [
"teleportation.cx(alice_psi,alice)\n",
"teleportation.h(alice_psi)\n",
"teleportation.barrier()\n",
"\n",
"print(teleportation)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌──────────┐ ░ ┌───┐ ░ \n",
"alice_psi_0: ┤ RY(pi/4) ├─░─────────────■──┤ H ├─░─\n",
" └──────────┘ ░ ┌───┐ ┌─┴─┐└───┘ ░ \n",
" alice_0: ─────────────░─┤ H ├──■──┤ X ├──────░─\n",
" ░ └───┘┌─┴─┐└───┘ ░ \n",
" bob_0: ─────────────░──────┤ X ├───────────░─\n",
" ░ └───┘ ░ \n",
" alicez: 1/══════════════════════════════════════\n",
" \n",
" alicex: 1/══════════════════════════════════════\n",
" \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "c_JZhWI1A-5I",
"colab_type": "text"
},
"source": [
"Alice measures her two qubits and stores the results in two classical variables that get sent to Bob. (In Qiskit, the measurement results are explicitly stored in their own register.)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "_mstAC3BcjV3",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 221
},
"outputId": "4574bfe8-0d17-467a-bc6a-7a3bac874029"
},
"source": [
"teleportation.measure(alice_psi,alicez)\n",
"teleportation.measure(alice,alicex)\n",
"\n",
"teleportation.barrier()\n",
"\n",
"print(teleportation)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌──────────┐ ░ ┌───┐ ░ ┌─┐ ░ \n",
"alice_psi_0: ┤ RY(pi/4) ├─░─────────────■──┤ H ├─░─┤M├────░─\n",
" └──────────┘ ░ ┌───┐ ┌─┴─┐└───┘ ░ └╥┘┌─┐ ░ \n",
" alice_0: ─────────────░─┤ H ├──■──┤ X ├──────░──╫─┤M├─░─\n",
" ░ └───┘┌─┴─┐└───┘ ░ ║ └╥┘ ░ \n",
" bob_0: ─────────────░──────┤ X ├───────────░──╫──╫──░─\n",
" ░ └───┘ ░ ║ ║ ░ \n",
" alicez: 1/═══════════════════════════════════════╩══╬════\n",
" 0 ║ \n",
" ║ \n",
" alicex: 1/══════════════════════════════════════════╩════\n",
" 0 \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jaE40zTMBRdm",
"colab_type": "text"
},
"source": [
"Assuming Bob now has received the two bits from Alice's measurement, he performs the conditional operations $X$ and $Z$."
]
},
{
"cell_type": "code",
"metadata": {
"id": "BB-RquG6c2co",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 221
},
"outputId": "7f49babd-978b-4617-9960-30f96beddeca"
},
"source": [
"teleportation.x(bob).c_if(alicex, 1) \n",
"teleportation.z(bob).c_if(alicez, 1) \n",
"\n",
"print(teleportation)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
" ┌──────────┐ ░ ┌───┐ ░ ┌─┐ ░ \n",
"alice_psi_0: ┤ RY(pi/4) ├─░─────────────■──┤ H ├─░─┤M├────░───────────────\n",
" └──────────┘ ░ ┌───┐ ┌─┴─┐└───┘ ░ └╥┘┌─┐ ░ \n",
" alice_0: ─────────────░─┤ H ├──■──┤ X ├──────░──╫─┤M├─░───────────────\n",
" ░ └───┘┌─┴─┐└───┘ ░ ║ └╥┘ ░ ┌───┐ ┌───┐ \n",
" bob_0: ─────────────░──────┤ X ├───────────░──╫──╫──░──┤ X ├──┤ Z ├─\n",
" ░ └───┘ ░ ║ ║ ░ └─┬─┘ └─┬─┘ \n",
" ║ ║ │ ┌──┴──┐\n",
" alicez: 1/═══════════════════════════════════════╩══╬═══════╪═══╡ = 1 ╞\n",
" 0 ║ ┌──┴──┐└─────┘\n",
" alicex: 1/══════════════════════════════════════════╩════╡ = 1 ╞═══════\n",
" 0 └─────┘ \n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tIW5Wn9LBbZQ",
"colab_type": "text"
},
"source": [
"In principle, that is it! Let's run the simulation again to see if Alice's state has been teleported."
]
},
{
"cell_type": "code",
"metadata": {
"id": "ZvKsTw4YdT1x",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 336
},
"outputId": "26b51532-a8bd-480b-c692-d394964c644d"
},
"source": [
"simulator = qiskit.Aer.get_backend('statevector_simulator')\n",
"\n",
"job = qiskit.execute(teleportation, simulator)\n",
"\n",
"results = job.result()\n",
"\n",
"print(results.get_statevector(teleportation))\n",
"\n",
"qiskit.visualization.plot_bloch_multivector(results.get_statevector(teleportation))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"[ 0. +0.00000000e+00j 0.92387953+0.00000000e+00j\n",
" 0. +0.00000000e+00j -0. +0.00000000e+00j\n",
" -0. +0.00000000e+00j 0.38268343-4.68652041e-17j\n",
" -0. +0.00000000e+00j -0. +0.00000000e+00j]\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"tags": []
},
"execution_count": 18
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2i3dkPcHBh2b",
"colab_type": "text"
},
"source": [
"Excellent! Now it's your turn. Here we wrote an ugly script if it's put all together. Why don't you create your own functions to perform teleportation of any state?"
]
}
]
}
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