Colab_07_Entanglement.ipynb

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  "cells": [
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      "source": [
        "<a href=\"https://colab.research.google.com/github/EmmanueleVilla/quantum_computing/blob/main/Colab_07_Entanglement.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
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    {
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          "text": [
            "Collecting qiskit\n",
            "  Downloading qiskit-0.43.2.tar.gz (9.1 kB)\n",
            "  Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n",
            "  Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n",
            "  Installing backend dependencies ... \u001b[?25l\u001b[?25hdone\n",
            "  Preparing metadata (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
            "Collecting qiskit-terra==0.24.1 (from qiskit)\n",
            "  Downloading qiskit_terra-0.24.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (5.9 MB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m5.9/5.9 MB\u001b[0m \u001b[31m43.3 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hCollecting qiskit-aer==0.12.1 (from qiskit)\n",
            "  Downloading qiskit_aer-0.12.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (12.8 MB)\n",
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            "\u001b[?25hCollecting qiskit-ibmq-provider==0.20.2 (from qiskit)\n",
            "  Downloading qiskit_ibmq_provider-0.20.2-py3-none-any.whl (241 kB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m241.5/241.5 kB\u001b[0m \u001b[31m17.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hRequirement already satisfied: numpy>=1.16.3 in /usr/local/lib/python3.10/dist-packages (from qiskit-aer==0.12.1->qiskit) (1.22.4)\n",
            "Requirement already satisfied: scipy>=1.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-aer==0.12.1->qiskit) (1.10.1)\n",
            "Requirement already satisfied: requests>=2.19 in /usr/local/lib/python3.10/dist-packages (from qiskit-ibmq-provider==0.20.2->qiskit) (2.27.1)\n",
            "Collecting requests-ntlm<=1.1.0 (from qiskit-ibmq-provider==0.20.2->qiskit)\n",
            "  Downloading requests_ntlm-1.1.0-py2.py3-none-any.whl (5.7 kB)\n",
            "Requirement already satisfied: urllib3>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from qiskit-ibmq-provider==0.20.2->qiskit) (1.26.16)\n",
            "Requirement already satisfied: python-dateutil>=2.8.0 in /usr/local/lib/python3.10/dist-packages (from qiskit-ibmq-provider==0.20.2->qiskit) (2.8.2)\n",
            "Requirement already satisfied: websocket-client>=1.5.1 in /usr/local/lib/python3.10/dist-packages (from qiskit-ibmq-provider==0.20.2->qiskit) (1.6.1)\n",
            "Collecting websockets>=10.0 (from qiskit-ibmq-provider==0.20.2->qiskit)\n",
            "  Downloading websockets-11.0.3-cp310-cp310-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl (129 kB)\n",
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            "\u001b[?25hCollecting rustworkx>=0.12.0 (from qiskit-terra==0.24.1->qiskit)\n",
            "  Downloading rustworkx-0.13.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (1.9 MB)\n",
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            "\u001b[?25hCollecting ply>=3.10 (from qiskit-terra==0.24.1->qiskit)\n",
            "  Downloading ply-3.11-py2.py3-none-any.whl (49 kB)\n",
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            "Collecting dill>=0.3 (from qiskit-terra==0.24.1->qiskit)\n",
            "  Downloading dill-0.3.6-py3-none-any.whl (110 kB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m110.5/110.5 kB\u001b[0m \u001b[31m8.9 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hCollecting stevedore>=3.0.0 (from qiskit-terra==0.24.1->qiskit)\n",
            "  Downloading stevedore-5.1.0-py3-none-any.whl (49 kB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m49.6/49.6 kB\u001b[0m \u001b[31m4.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hCollecting symengine<0.10,>=0.9 (from qiskit-terra==0.24.1->qiskit)\n",
            "  Downloading symengine-0.9.2-cp310-cp310-manylinux2010_x86_64.whl (37.5 MB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m37.5/37.5 MB\u001b[0m \u001b[31m15.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hRequirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.0->qiskit-ibmq-provider==0.20.2->qiskit) (1.16.0)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19->qiskit-ibmq-provider==0.20.2->qiskit) (2023.5.7)\n",
            "Requirement already satisfied: charset-normalizer~=2.0.0 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19->qiskit-ibmq-provider==0.20.2->qiskit) (2.0.12)\n",
            "Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests>=2.19->qiskit-ibmq-provider==0.20.2->qiskit) (3.4)\n",
            "Collecting ntlm-auth>=1.0.2 (from requests-ntlm<=1.1.0->qiskit-ibmq-provider==0.20.2->qiskit)\n",
            "  Downloading ntlm_auth-1.5.0-py2.py3-none-any.whl (29 kB)\n",
            "Collecting cryptography>=1.3 (from requests-ntlm<=1.1.0->qiskit-ibmq-provider==0.20.2->qiskit)\n",
            "  Downloading cryptography-41.0.2-cp37-abi3-manylinux_2_28_x86_64.whl (4.3 MB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m4.3/4.3 MB\u001b[0m \u001b[31m71.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hCollecting pbr!=2.1.0,>=2.0.0 (from stevedore>=3.0.0->qiskit-terra==0.24.1->qiskit)\n",
            "  Downloading pbr-5.11.1-py2.py3-none-any.whl (112 kB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m112.7/112.7 kB\u001b[0m \u001b[31m10.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hRequirement already satisfied: mpmath>=0.19 in /usr/local/lib/python3.10/dist-packages (from sympy>=1.3->qiskit-terra==0.24.1->qiskit) (1.3.0)\n",
            "Requirement already satisfied: cffi>=1.12 in /usr/local/lib/python3.10/dist-packages (from cryptography>=1.3->requests-ntlm<=1.1.0->qiskit-ibmq-provider==0.20.2->qiskit) (1.15.1)\n",
            "Requirement already satisfied: pycparser in /usr/local/lib/python3.10/dist-packages (from cffi>=1.12->cryptography>=1.3->requests-ntlm<=1.1.0->qiskit-ibmq-provider==0.20.2->qiskit) (2.21)\n",
            "Building wheels for collected packages: qiskit\n",
            "  Building wheel for qiskit (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for qiskit: filename=qiskit-0.43.2-py3-none-any.whl size=7640 sha256=df5ebdfe7361409f3a021bcf5c63ecf52f768d0d321302db049edf2373fc2d13\n",
            "  Stored in directory: /root/.cache/pip/wheels/d4/ad/4f/f54eb8743e54c5bab69837b842cf56a8a87ac7c57a2abf85ad\n",
            "Successfully built qiskit\n",
            "Installing collected packages: ply, websockets, symengine, rustworkx, pbr, ntlm-auth, dill, stevedore, cryptography, requests-ntlm, qiskit-terra, qiskit-ibmq-provider, qiskit-aer, qiskit\n",
            "Successfully installed cryptography-41.0.2 dill-0.3.6 ntlm-auth-1.5.0 pbr-5.11.1 ply-3.11 qiskit-0.43.2 qiskit-aer-0.12.1 qiskit-ibmq-provider-0.20.2 qiskit-terra-0.24.1 requests-ntlm-1.1.0 rustworkx-0.13.0 stevedore-5.1.0 symengine-0.9.2 websockets-11.0.3\n"
          ]
        }
      ],
      "source": [
        "!pip install qiskit"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install pylatexenc --quiet"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TgjzQ7tGXrtd",
        "outputId": "90cdb215-c87a-4fa1-dc62-97304f19241e"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\u001b[?25l     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.0/162.6 kB\u001b[0m \u001b[31m?\u001b[0m eta \u001b[36m-:--:--\u001b[0m\r\u001b[2K     \u001b[91m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[91m╸\u001b[0m\u001b[90m━━\u001b[0m \u001b[32m153.6/162.6 kB\u001b[0m \u001b[31m5.5 MB/s\u001b[0m eta \u001b[36m0:00:01\u001b[0m\r\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m162.6/162.6 kB\u001b[0m \u001b[31m4.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25h  Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Building wheel for pylatexenc (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import qiskit as qk\n",
        "from qiskit.tools.monitor import job_monitor\n",
        "from qiskit.visualization import plot_histogram, array_to_latex\n",
        "from qiskit.tools.visualization import plot_bloch_multivector\n",
        "import qiskit.tools.jupyter\n",
        "%matplotlib inline\n",
        "%qiskit_job_watcher"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 60,
          "referenced_widgets": [
            "69b389cecc2f4541b4812a5c231b2a5e",
            "8aa77c91eece4c82a35b0ba298dcf8f0",
            "36c36dd481d64b31852224584a6f9061",
            "103c450e87e94afb8125901b97ad8cb8",
            "cdbb109f31a44922b169298866bc226d",
            "93223e47f78540cbbbd39be9610a85d2",
            "a2c9e11175e3465692073a11e3c8e0e7",
            "3e6324054bba4272bf1f21a0638aab82",
            "b6719b32d04a478f9ce06afcb2ef1ec8",
            "d59cc8caa0a6417db08a0578afd0f10c",
            "9fbac9f391c140a6a38166b0f8a59bc5",
            "9ea21191004a431188b32a81ca31f345",
            "ef7c20c5e44a4bc788cb2eb1af211317",
            "6941da5051ab42f1bb75c21479295caf",
            "a4e29a98e3d240e7a1e1743f51f880ae",
            "5f208903fcdc492b9423445715e3f08e",
            "ebf0cf4de020475ea3644ee925fe8e3e",
            "2727c8ea30c0410c90b7e7f18de49d2d",
            "405b18483f4342768c16126e53d901be",
            "8b0a7d3fcadd4468b246e9699d7e2120",
            "3134fe38975f4ea5b8f6202772f61116",
            "6c57b8bf5afb4c47bd95a55a8559531a",
            "42df87e918fd4e4cbdc9e92be0fa400f",
            "23f2f1056fab44f8bbd4abccafc92f08",
            "b64e67c989cc4da2a968814d0b4eb1b7",
            "6b8e4fe7000a45b79c1d319378da8a08"
          ]
        },
        "id": "FVQVhsAEX1BD",
        "outputId": "55fe3db1-63c8-4e80-d44c-4cfa3589fef2"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Accordion(children=(VBox(layout=Layout(max_width='710px', min_width='710px')),), layout=Layout(max_height='500…"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "69b389cecc2f4541b4812a5c231b2a5e"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<IPython.core.display.Javascript object>"
            ],
            "application/javascript": [
              "\n",
              "        const isLab = window['Jupyter'] === undefined;\n",
              "        const notebook = document.querySelector( isLab ? 'div.jp-Notebook' : '#site');\n",
              "        const jobWidget = document.querySelector('div.job_widget');\n",
              "        notebook.prepend(jobWidget);\n",
              "        jobWidget.style.zIndex = '999';\n",
              "        jobWidget.style.position = isLab ? 'sticky' : 'fixed';\n",
              "        jobWidget.style.boxShadow = '5px 5px 5px -3px black';\n",
              "        jobWidget.style.opacity = '0.95';\n",
              "        if (isLab) {\n",
              "            jobWidget.style.top = '0';\n",
              "            jobWidget.style.left = '0';\n",
              "        }\n",
              "        "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "quantum_simulator = qk.Aer.get_backend(\"qasm_simulator\")\n",
        "state_vector_simulator = qk.Aer.get_backend(\"statevector_simulator\")"
      ],
      "metadata": {
        "id": "JUSFnx0AYDvL"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Circuito con il qubit 0 in sovrapposizione di stati e il qubit 1 nello stato |up>"
      ],
      "metadata": {
        "id": "TK-0y3oqZ_JI"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "circuit = qk.QuantumCircuit(2, 2)\n",
        "circuit.h(0)\n",
        "circuit.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "VECXikAfYNdy",
        "outputId": "bf949826-a13c-444b-8b3b-1276b52e59b9"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 203.683x284.278 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAALAAAADuCAYAAACZM43ZAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAMoklEQVR4nO3db2xU9Z7H8ffU1rbQqW2BOMLwp0hr6F8UZGlD1JJWJa3KvQn+CSKJGJNNumJCmJvwwBuTDd2mGHNZYoKxCavJNt2A11tb9YHbqmyDWMQaYqsosYT+GeJIobQUpO3cByC53Q4XmHY68z39vJ51zpkz30zfnP5mTpm6gsFgEBGj4qI9gMhkKGAxTQGLaQpYTFPAYpoCFtMUsJimgMU0BSymKWAxTQGLaQpYTFPAYpoCFtMUsJimgMU0BSymKWAxTQGLaQpYTFPAYpoCFtMUsJimgMU0BSymKWAxTQGLaQpYTFPAYpoCFtMUsJimgMU0BSymKWAxTQGLaQpYTFPAYlp8tAeQiYJB+G002lPcnjvvAJdr+h9XAceg30bhT/XRnuL2VD8DiVGoSUsIMU0Bi2kKWExTwGKaAhbTFLCYpoDFNAUspilgMU0Bi2kKWExTwGKaAhbTHB9wIBDA5/OxbNkykpKSWLhwIdu2bWNoaIitW7ficrnYu3dvtMeUMDk64Pb2dvLz86mpqcHv95OTk8OVK1fYs2cPzzzzDJ2dnQCsWLEiuoNGSHfHZ/zleRdfN+2+4T5/ed7F33ZXTONUU8uxAQcCAZ544gn8fj/bt2+nr6+PY8eO4ff7qa6upqmpiba2NlwuFwUFBdEeV8Lk2IBfeeUVuru7qaysZPfu3bjd7uvbfD4fhYWFjIyMsGTJElJTU6M4qUyGIwPu7Oykvr6euXPnUlVVFXKflStXAlBYWDju9p9//pknn3wSt9tNeno6L7zwAr/++mvEZ5bwOPK/FNXV1TE2NsamTZtISUkJuU9ycjIwPuALFy5QUlJCRkYGdXV1DA8P4/P5qKiooLW1lbg4m//eR367yPCFQLTHiAhHBtzc3AxASUnJDffp7u4Gxgf89ttv09PTwxdffMGiRYsA8Hq9FBcX09DQwIYNGyI3dAR9efDPfHnwz9EeIyIcGfCpU6cAWLx4ccjtIyMjtLa2AuMDbmxsZO3atdfjBSgqKmLp0qV8+OGHYQe8atUq/H7/Le9/R0Iyf/j3H8N6rFDySl4m6182htz21/8om5LHyM7KYvTKcFj39Xg8HD16NKz7OjLgoaEhAIaHQz+h9fX1BAIB3G43mZmZ12/v6Ohg48aJ3+jc3Fw6OjrCnsfv99PT03PL+8cnzgr7sUJJ82SxKK90So/5//X29TJy+WJEHyMURwbs8Xjo7+/n2LFjFBUVjdvW19fHjh07ACgoKMD1Dx9m0N/fT1pa2oTjZWRk8MMPP0xqnttxR0Jy2I8VLfPvmT+pM3C4HBlwaWkpnZ2dVFdXU1ZWRnZ2NgBtbW1s3ryZQODqC5rpuoBxuz8eL4/Y+1yIEz/+qM+FmCo+n485c+Zw+vRpcnNzyc/PJysri9WrV7N06VLWrVsHTHwLLT09nXPnzk043tmzZ8nIyJiO0eU2OTJgr9fLoUOHKC8vJykpia6uLjIyMti3bx9NTU2cOHECmBjw8uXLQ651Ozo6WL58+bTMLrfHkUsIuBpjY2PjhNsHBwfp6uoiLi6OvLy8cdsqKirYuXMn3d3deL1eAI4cOcLJkyepqamZlrnl9riCwWAw2kNMpyNHjrBmzRruu+8+vv/++3HbBgYGyM/PZ+7cubz++utcunQJn8/HvHnzOHz48LRdyLC4BtZno02T48ePAxOXDwCpqak0Nzdzzz338Oyzz/LSSy9RXFxMY2Oj2atwTufYJcSN/LOAAe69996QSw+JTTPutHKzgMWWGXcG/v33JMQZZtwZWJxFAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMm3G/D2yB/tj3rVPAYpqWEGKaAhbTFLCYpoDFNAUspilgMU0Bi2kKWExTwGKaAhbTFLCYpoDFNAUspilgMU0Bi2kKWExTwGKaAhbTFLCYpoDFNAUspilgMU0Bi2kKWExTwGKaAhbTFLCYpoDFNAUspilgMU0Bi2kKWEybEQEHAgF8Ph/Lli0jKSmJhQsXsm3bNoaGhti6dSsul4u9e/dGe0wJQ3y0B4i09vZ21q9fj9/vZ/bs2eTk5NDb28uePXs4efIkZ8+eBWDFihXRHVTCE3SwX375Jej1eoNAcPv27cGBgYHr26qrq4NAMD4+PuhyuYLnz5+P4qQSLkcH/NxzzwWBYGVlZcjthYWFQSCYmZk5zZPJVHHsGrizs5P6+nrmzp1LVVVVyH1WrlwJQGFh4fXburu7qaysZPXq1SQmJuKKxp/ekVvm2IDr6uoYGxtj06ZNpKSkhNwnOTkZGB/wTz/9xMGDB/F4PDz44IPTMquEz7EBNzc3A1BSUnLDfbq7u4HxAT/00EP09fXR0NBAaWlpZIeUSXPsuxCnTp0CYPHixSG3j4yM0NraCowPOC5u6v9Nr1q1Cr/fP+XHdQqPx8PRo0fDuq9jAx4aGgJgeHg45Pb6+noCgQBut5vMzMyIzuL3++np6YnoY8xUjg3Y4/HQ39/PsWPHKCoqGretr6+PHTt2AFBQUBDxF2oejyeix7duMs+PYwMuLS2ls7OT6upqysrKyM7OBqCtrY3NmzcTCASA6bmAEe6PR7k5x76I8/l8zJkzh9OnT5Obm0t+fj5ZWVmsXr2apUuXsm7dOmD8+lfscWzAXq+XQ4cOUV5eTlJSEl1dXWRkZLBv3z6ampo4ceIEoICtc+wSAmD58uU0NjZOuH1wcJCuri7i4uLIy8uLwmQyVRwd8I189913BINBsrOzmTVr1oTtBw4cAKCjo2Pc10uWLGHVqlXTN6jc1IwM+Pjx48CNlw8bN24M+fWWLVvYv39/RGeT26OAQwgGg9M5jkyCY1/E/TM3C1jscAV1uhHDZuQZWJxDAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8AxoKamhqKiItLT00lLS2Pt2rV88skn0R7LBAUcA5qbm3nxxRdpaWnhq6++ori4mIqKClpbW6M9WszTXymKUQUFBZSVlfHGG29Ee5SYpjNwDBobG2NgYIDZs2dHe5SYp4Bj0K5duzh37hwvv/xytEeJeTPyT83Gsrfeeotdu3bR0NCA1+uN9jgxT2fgGLJ792527NhBQ0MDpaWl0R7HBJ2BY8Rrr73Gm2++yUcffcTDDz8c7XHM0LsQMeDVV19l37591NXVsWbNmuu3Jycnc9ddd0VxstingGOAy+UKefuWLVvYv3//9A5jjJYQMeB2ziE/n+7D65lHQoK+daCATbkweJHa//mI5KREKjdv4K7UlGiPFHV6F8KQz498y8jIKOmpblLdusgBCnic0dFR3nvvPR599FHmzZtHYmIiixYt4vHHH+edd95hdHQ0arNdGLzIl+0dAJSuXXnDdfNMoxdx1wwMDLBhwwZaWloAmD9/PgsWLKC3t5fe3l6CwSD9/f2kpaVFZb7G/z3M/x09zqL5d/Ovzz+pgK/RGviarVu30tLSgtfr5d1336WkpOT6tjNnzlBbW0tCQkJYx/7P/3qfC4PDYc82NjbG4MWr9w+cPUfVW/8d9rFikTslmX/b8sew7quAga+//poDBw4QHx/Pxx9/TF5e3rjtd999Nzt37gz7+BcGhxkYHJrsmABcvHQZuDwlx3ICBQx88MEHAJSXl0+Idyq4U5LDvu8/nn1nJSUSH++8b9lknh/nPRth6Oi4+uKoqKgoIscP98cjaO17MwqYqy/ggIhdtg13Dez0te/vtAaepNTUVADOnz8fkeNPxRpYa9/QFDCQm5vL+++/z+HDhyNy/HDWeDNh7fu7yayB9T4w8M033/DAAw+QkJBAe3s7OTk50R5Ja99bpCtxwP3338/TTz/NlStXWL9+PZ9//vm47WfOnKGqqoqhoal5K+xmdNXt1ukMfM3AwABPPfUUn332GQALFixg/vz59PX10dPTM61X4nT2vXU6A1+TmprKp59+Sm1tLY888ggXL17k22+/JS4ujscee4za2lrcbve0zJIyO5mkxDt19r0FOgPHqEuXfyPxzgQFfBMKWEzTEkJMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDFNAYtpClhMU8BimgIW0xSwmKaAxTQFLKYpYDHt7+Lpzl1vplkNAAAAAElFTkSuQmCC\n"
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "job = qk.execute(circuit, backend=state_vector_simulator)\n",
        "result = job.result()\n",
        "state_vector = result.get_statevector()\n",
        "array_to_latex(state_vector, prefix=\"\\t{StateVector =}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 47
        },
        "id": "kmzj-9XfYWey",
        "outputId": "06dac33e-fb40-488e-ab00-338d92efd66a"
      },
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.core.display.Latex object>"
            ],
            "text/latex": "$$\n\t{StateVector =}\n\\begin{bmatrix}\n\\frac{\\sqrt{2}}{2} & \\frac{\\sqrt{2}}{2} & 0 & 0  \\\\\n \\end{bmatrix}\n$$"
          },
          "metadata": {},
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit = qk.QuantumCircuit(2, 2)\n",
        "circuit.h(0)\n",
        "circuit.barrier()\n",
        "circuit.measure([0,1], [0,1])\n",
        "circuit.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "sFNqlS2IYtqC",
        "outputId": "dcbd024e-810f-4dd8-80bf-3cb7cd128fb3"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 454.517x284.278 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "job = qk.execute(circuit, backend=quantum_simulator, shots=1024)\n",
        "result = job.result()\n",
        "counts = result.get_counts()\n",
        "plot_histogram(counts)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 461
        },
        "id": "mByZVawdZNIZ",
        "outputId": "9f54c148-a4b2-4a83-a039-049404560564"
      },
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 700x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot_bloch_multivector(state_vector)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "id": "_mkdW1HoacIv",
        "outputId": "e3cd2e73-a1b6-4e04-edf0-7aff48f2b356"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 960x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Circuito con il qubit 0 in sovrapposizione di stati e il qubit 1 in entanglement con 0\n"
      ],
      "metadata": {
        "id": "jS8XcPH8aGeH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "circuit = qk.QuantumCircuit(2, 2)\n",
        "circuit.h(0)\n",
        "circuit.cnot(0, 1)\n",
        "circuit.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "LvuBrS_oaMr2",
        "outputId": "11ea51c5-9170-48fb-cd13-5c077e016260"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 287.294x284.278 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "job = qk.execute(circuit, backend=state_vector_simulator)\n",
        "result = job.result()\n",
        "state_vector = result.get_statevector()\n",
        "array_to_latex(state_vector, prefix=\"\\t{StateVector =}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 47
        },
        "id": "9YkjqcG-aWbv",
        "outputId": "e316b773-ea48-4ec6-9e07-e49d0cc8ee62"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.core.display.Latex object>"
            ],
            "text/latex": "$$\n\t{StateVector =}\n\\begin{bmatrix}\n\\frac{\\sqrt{2}}{2} & 0 & 0 & \\frac{\\sqrt{2}}{2}  \\\\\n \\end{bmatrix}\n$$"
          },
          "metadata": {},
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit = qk.QuantumCircuit(2, 2)\n",
        "circuit.h(0)\n",
        "circuit.cnot(0, 1)\n",
        "circuit.measure([0,1], [0,1])\n",
        "circuit.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "lHBeHedxao--",
        "outputId": "578ae947-e74a-4128-fe4c-e23e8f8f1eec"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 454.517x284.278 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "job = qk.execute(circuit, backend=quantum_simulator, shots=1024)\n",
        "result = job.result()\n",
        "counts = result.get_counts()\n",
        "plot_histogram(counts)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 461
        },
        "id": "Wb0dhpaXa72-",
        "outputId": "316e0b66-f9f5-494c-b409-1d16cc7d8d29"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 700x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot_bloch_multivector(state_vector)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "id": "PfjZ7GKHa-GO",
        "outputId": "e008b7ab-2ab3-448c-9536-ef79b51c03b8"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 960x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "A6sGXC-jbCmO"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}