Colab_23_Quantum_Data_Encoding.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyN/BwpbqIe6uaoQgnKWe67r",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/EmmanueleVilla/quantum_computing/blob/main/Colab_23_Quantum_Data_Encoding.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "UfBCU6AMPzcb",
        "outputId": "83fee7ea-2897-497f-e15b-82ddce57cb26"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "  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",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m6.1/6.1 MB\u001b[0m \u001b[31m13.5 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m2.0/2.0 MB\u001b[0m \u001b[31m27.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m49.6/49.6 kB\u001b[0m \u001b[31m5.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m115.3/115.3 kB\u001b[0m \u001b[31m11.6 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m49.6/49.6 kB\u001b[0m \u001b[31m5.1 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m37.5/37.5 MB\u001b[0m \u001b[31m17.9 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m112.7/112.7 kB\u001b[0m \u001b[31m11.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25h  Building wheel for qiskit (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m162.6/162.6 kB\u001b[0m \u001b[31m3.1 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"
          ]
        }
      ],
      "source": [
        "!pip install qiskit --quiet && pip install pylatexenc --quiet"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Basis encoding"
      ],
      "metadata": {
        "id": "QzSIFU4KQYbW"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import math\n",
        "from qiskit import QuantumCircuit\n",
        "\n",
        "# X = { 110, 111}\n",
        "\n",
        "desired_state = [\n",
        "    0, #000\n",
        "    0, #001\n",
        "    0, #010\n",
        "    0, #011\n",
        "    0, #100\n",
        "    1 / math.sqrt(2), #101\n",
        "    0, #110\n",
        "    1 / math.sqrt(2)  #111\n",
        "]\n",
        "\n",
        "qc = QuantumCircuit(3)\n",
        "qc.initialize(desired_state, [0,1,2])\n",
        "qc.decompose().decompose().decompose().decompose().decompose().draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 203
        },
        "id": "_FSHiwTTQZkd",
        "outputId": "4d1447c7-93ef-481f-823c-8814c736484c"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 2210.55x618.722 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Amplitude Encoding"
      ],
      "metadata": {
        "id": "fLwUd4XVRnhT"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# X = { (1.5, 0), (-2, 3) }\n",
        "\n",
        "desired_state = [\n",
        "    1 / math.sqrt(15.25) * 1.5,\n",
        "    0,\n",
        "    1 / math.sqrt(15.25) * -2,\n",
        "    1 / math.sqrt(15.25) * 3\n",
        "]\n",
        "\n",
        "qc = QuantumCircuit(2)\n",
        "qc.initialize(desired_state, [0,1])\n",
        "qc.decompose().decompose().decompose().decompose().decompose().draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 191
        },
        "id": "A4d_LYm4Q7QN",
        "outputId": "fc74657e-4d33-4fa7-d33e-a4bca3d3485d"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 788.961x200.667 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Angle encoding"
      ],
      "metadata": {
        "id": "k5Iju76XSbpC"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x = [ 0, 12.24, 8.34 ]\n",
        "\n",
        "qc = QuantumCircuit(3)\n",
        "qc.ry(x[0], 0)\n",
        "qc.ry(x[1], 1)\n",
        "qc.ry(x[2], 2)\n",
        "qc.draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "z6rengEsR38q",
        "outputId": "04f41b6f-7c0a-441a-abeb-d16c77fab3ab"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 203.885x284.278 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "UCLoROnJSqlo"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Arbitrary Encoding: EfficientSU2\n",
        "\n"
      ],
      "metadata": {
        "id": "3vMD8nfHTQlY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Circuito per data point con 12 feature\n",
        "from qiskit.circuit.library import EfficientSU2\n",
        "\n",
        "qc = EfficientSU2(num_qubits=3, reps=1, insert_barriers=True)\n",
        "qc.decompose().draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "yakN19X5TTHn",
        "outputId": "fe7a47dc-56df-42b7-9712-6b74fd03d457"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 789.163x284.278 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x = [0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2]\n",
        "encode = qc.bind_parameters(x)\n",
        "encode.decompose().draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 255
        },
        "id": "k1onNTr2Tfz2",
        "outputId": "e89fca56-a5cf-40b2-91d2-1f372f65f6d3"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 789.163x284.278 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Arbitrary Encoding: ZZFeatureMap\n"
      ],
      "metadata": {
        "id": "CycmC9YkT6T3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit.circuit.library import ZZFeatureMap\n",
        "\n",
        "qc = ZZFeatureMap(feature_dimension=3, reps=1, insert_barriers=True)\n",
        "qc.decompose().draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 138
        },
        "id": "3OHCUYXZTxpW",
        "outputId": "8ed619f8-7e08-4083-afd3-e9e73f6ef169"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1625.27x284.278 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x = [0.1, 0.2, 0.3]\n",
        "encode = qc.bind_parameters(x)\n",
        "encode.decompose().draw(\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 191
        },
        "id": "Hl9SJWR6UHaN",
        "outputId": "e74e6795-b20c-44a8-c603-8e12c72a0618"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1123.61x284.278 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "6KKDqm_EUfGs"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}