Risk_Analysis_Hackathon.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/gopalm-ai/Hackathon2022/blob/main/Risk_Analysis_Hackathon.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "1meodHDHu2qx"
      },
      "outputs": [],
      "source": [
        "# Sensitivity Risk Analysis - Hackathon Project"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "JnHjmawi5_dp",
        "outputId": "66025db2-05e0-4bbd-8280-46d64228e366"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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          ]
        }
      ],
      "source": [
        "!pip3 install qiskit\n",
        "!pip3 install dimod\n",
        "!pip3 install greedy\n",
        "!pip3 install numpy\n",
        "!pip3 install pylatexenc\n",
        "#!pip3 install qiskit_textbook"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RnBz315r3-mE",
        "outputId": "818dd07a-7a81-4af3-9842-43c01d6c3812"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "fatal: destination path 'pygrnd' already exists and is not an empty directory.\n"
          ]
        }
      ],
      "source": [
        "!git clone https://github.com/JoSQUANTUM/pygrnd.git\n",
        "#!pip3 install pygrnd"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cFq0lMnM6Wzv",
        "outputId": "601c3054-0352-45e8-ed7b-8bff0816dd4b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Processing ./pygrnd\n",
            "\u001b[33m  DEPRECATION: A future pip version will change local packages to be built in-place without first copying to a temporary directory. We recommend you use --use-feature=in-tree-build to test your packages with this new behavior before it becomes the default.\n",
            "   pip 21.3 will remove support for this functionality. You can find discussion regarding this at https://github.com/pypa/pip/issues/7555.\u001b[0m\n",
            "Building wheels for collected packages: pygrnd\n",
            "  Building wheel for pygrnd (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for pygrnd: filename=pygrnd-0.1.0-py3-none-any.whl size=37571 sha256=c37310586bd901155b741dd33c1019f0310b8f505152d343a72ff45f8e855c17\n",
            "  Stored in directory: /tmp/pip-ephem-wheel-cache-rqaaabwp/wheels/c6/b7/c0/b186dda1ea5b65ef883a645b27ad64a14b7eb0f729a6d523e8\n",
            "Successfully built pygrnd\n",
            "Installing collected packages: pygrnd\n",
            "  Attempting uninstall: pygrnd\n",
            "    Found existing installation: pygrnd 0.1.0\n",
            "    Uninstalling pygrnd-0.1.0:\n",
            "      Successfully uninstalled pygrnd-0.1.0\n",
            "Successfully installed pygrnd-0.1.0\n"
          ]
        }
      ],
      "source": [
        "!pip3 install pygrnd/"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "id": "4HSrlI8d8sNa"
      },
      "outputs": [],
      "source": [
        "from pygrnd.qc.helper import *\n",
        "from pygrnd.qc.brm import *\n",
        "from pygrnd.qc.brm_oracle import *\n",
        "from pygrnd.qc.QAE import *\n",
        "\n",
        "from qiskit import execute\n",
        "from qiskit import Aer\n",
        "\n",
        "from math import pi\n",
        "import math\n",
        "import cmath\n",
        "import random\n",
        "from qiskit.visualization import plot_histogram\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm\n",
        "import networkx as nx\n",
        "from IPython.display import Image"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sVQ25bzqN-mk"
      },
      "source": [
        "## Small Example"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zyjXGl6f67vR",
        "outputId": "76fd2c8c-f3ed-4b5a-aa66-a1f449227f9a"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Number of risk items =  2\n",
            "Number of correlations =  2\n"
          ]
        }
      ],
      "source": [
        "## small example\n",
        "\n",
        "nodes=['0','1'] # risk items defition\n",
        "edges=[('0','1'),('1','0')] # correlations\n",
        "\n",
        "probsNodes={'0':0.4,'1':0.6} # intrinsic probs\n",
        "probsEdges={('0','1'):0.3, ('1','0'):0.7} # transition probs\n",
        "\n",
        "print(\"Number of risk items = \",len(nodes))\n",
        "print(\"Number of correlations = \",len(edges))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 140
        },
        "id": "MCO78g5z97YO",
        "outputId": "8651bded-173f-4b60-8c5c-9876a81e1d05"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 267.052x144.48 with 1 Axes>"
            ]
          },
          "execution_count": 14,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "rm.draw(output='mpl')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 680
        },
        "id": "E6rrMZzV9-iK",
        "outputId": "2b87c8a2-7131-4c75-c31b-9ceab56036ee"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 478.079x204.68 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "-------------------------------\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ]
          },
          "execution_count": 15,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# execute function to build a qiskit gate with the risk model\n",
        "#rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "\n",
        "rm.measure_all()\n",
        "display(rm.draw(output='mpl'))\n",
        "print(\"-------------------------------\")\n",
        "\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(rm, backend,shots=100000)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xX6Xw84P9-lM",
        "outputId": "3980a420-6068-4271-ef19-7656402bdd4e"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "([1, 1, 1, 1], 4)"
            ]
          },
          "execution_count": 16,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "## evaluate classically\n",
        "modelProbabilities(nodes,edges,probsNodes,probsEdges)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 319
        },
        "id": "crnI_6km9-oB",
        "outputId": "8a807df0-6664-4bb8-ea29-d947ede2aad4"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "## building the graph from adjacency matrix for visual representation\n",
        "G = nx.Graph()\n",
        "G = nx.from_numpy_array(mat)\n",
        "nx.draw(G, with_labels=True, alpha=0.8, node_size=500)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nIUFoxxp9-qm"
      },
      "outputs": [],
      "source": [
        "## use Oracle to build QAE and evaluate probabaility for state 'STATELIST'\n",
        "name=\"test\"\n",
        "STATELIST=[\"11\"] # we search for the joint probability where both parameters are triggered\n",
        "Nshots=1000 # number of shots\n",
        "QAEqubits=4 # QAE bit precision --> 8 bit strings at the end of the measurement to differentiate 2^8 = 265 bins\n",
        "\n",
        "\n",
        "#rm = BRMlist(RIlist,TPlist,model2gate=True)\n",
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=True) \n",
        "ora = brmoracle(\"ora\",rm,len(nodes),0,STATELIST)\n",
        "QAE=qae(QAEqubits,len(nodes),len(nodes),rm,ora)\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "a_YVRnVN9-td"
      },
      "outputs": [],
      "source": [
        "## execution with local quantum simulator (qasm simulator)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 511
        },
        "id": "9S0RLSI2_PEM",
        "outputId": "142535fb-ea75-4e7f-a852-fcf2b6ebca26"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ]
          },
          "execution_count": 20,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(QAE, backend,shots=Nshots)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SzuW3MS6N6sm"
      },
      "source": [
        "## Larger Example"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7VnztBVp_PHR",
        "outputId": "176a4eab-ce69-4aa1-bfd9-1cd786644476"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Number of risk items =  6\n",
            "Number of correlations =  12\n"
          ]
        }
      ],
      "source": [
        "## large example\n",
        "\n",
        "nodes=['0','1','2','3','4','5'] # risk items defition\n",
        "edges=[('0','1'),('0','2'),('1','2'),('1','3'),('1','4'),('2','3'),('2','4'),('2','5'),('3','4'),('3','5'),('4','5'),('5','1')] # risk items correlations\n",
        "\n",
        "probsNodes={'0':0.1,'1':0.2,'2':0.2,'3':0.3,'4':0.1,'5':0.1} # intrinsic probs\n",
        "probsEdges={('0','1'):0.2, ('0','2'):0.3, ('1','2'):0.2, ('1','3'):0.3, ('1','4'):0.2, ('2','3'):0.3, \n",
        "            ('2','4'):0.2, ('2','5'):0.3, ('3','4'):0.2, ('3','5'):0.5, ('4','5'):0.4, ('5','1'):0.4} # transition probs\n",
        "\n",
        "print(\"Number of risk items = \", len(nodes))\n",
        "print(\"Number of correlations = \", len(edges))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "RaIqTyBd_PKg",
        "outputId": "026ab563-af32-4df4-edd6-8ead15b78a5a"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        },
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 1591.6x806.68 with 1 Axes>"
            ]
          },
          "execution_count": 26,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "rm.draw(output='mpl')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "v_6D2LoE991Y",
        "outputId": "5927c35c-19ac-4665-9f2a-d0fdd1cbd997"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1621.88x1408.68 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "-------------------------------\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x720 with 1 Axes>"
            ]
          },
          "execution_count": 27,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# execute function to build a qiskit gate with the risk model\n",
        "#rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "\n",
        "rm.measure_all()\n",
        "display(rm.draw(output='mpl'))\n",
        "print(\"-------------------------------\")\n",
        "\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(rm, backend,shots=100000)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(20,10))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 319
        },
        "id": "rERzrEyX996k",
        "outputId": "fe29c0d8-d0a5-48b4-8f7a-f6aff421eaf9"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "## building the graph from adjacency matrix for visual representation\n",
        "G = nx.Graph()\n",
        "G = nx.from_numpy_array(mat)\n",
        "nx.draw(G, with_labels=True, alpha=0.8, node_size=500)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "I6snOMVZ999e",
        "outputId": "73f4cfbc-f501-4a2c-c956-7a42fb23331a"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        }
      ],
      "source": [
        "## use Oracle to build QAE and evaluate probabaility for state 'STATELIST'\n",
        "name = \"test\"\n",
        "STATELIST = [\"111111\"] # we search for the joint probability where all 6 parameters are triggered\n",
        "Nshots = 100000 # number of shots\n",
        "QAEqubits = 8 # QAE bit precision --> 8 bit strings at the end of the measurement to differentiate 2^8 = 265 bins\n",
        "\n",
        "\n",
        "#rm = BRMlist(RIlist,TPlist,model2gate=True)\n",
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=True) \n",
        "ora = brmoracle(\"ora\",rm,len(nodes),0,STATELIST)\n",
        "QAE=qae(QAEqubits,len(nodes),len(nodes),rm,ora)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "LV9AZICL9-Am"
      },
      "outputs": [],
      "source": [
        "## execution with local quantum simulator (qasm simulator)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 544
        },
        "id": "tHtZ9Jct7Fk1",
        "outputId": "be5dac1c-67e2-4e2f-9d18-409a1fa0d85c"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ]
          },
          "execution_count": 31,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(QAE, backend,shots=Nshots)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 832
        },
        "id": "vLim1948JiGW",
        "outputId": "3ab61c9d-a777-4791-c7b6-c3fbe2d0c2c9"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 3600x2160 with 1 Axes>"
            ]
          },
          "execution_count": 32,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "plot_histogram(counts,figsize=(50,30))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "AEcQ0X_h7FoN",
        "outputId": "24d07541-20dd-4979-b39c-e01c580ffb9b"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Bin with the highest probability:  11111110\n",
            "Number of Bin with the highest probability:  254\n",
            "The probability of the tail event  ['111111']  is:  0.0006022718974138055\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "0.0006022718974138055"
            ]
          },
          "execution_count": 33,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# post processing: we see two different peaks from the QAE\n",
        "\n",
        "showQAEoutput(counts,STATELIST,QAEqubits)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8dR2Kh4xQJr_"
      },
      "source": [
        "## Even Larger Example"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "f98E7QstC0Qc",
        "outputId": "236ed17f-5246-46a9-b878-a16d001bf636"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Number of risk items =  8\n",
            "Number of correlations =  14\n"
          ]
        }
      ],
      "source": [
        "## larger example\n",
        "\n",
        "nodes=['0','1','2','3','4','5','6','7'] # risk items defition\n",
        "edges=[('0','1'),('0','2'),('1','2'),('1','3'),('1','4'),('2','3'),('2','4'),('2','5'),('3','4'),('3','5'),('4','5'),('5','6'),('5','7'),('6','7')] # risk items correlations\n",
        "\n",
        "probsNodes={'0':0.1, '1':0.2, '2':0.1, '3':0.2, '4':0.1, '5':0.1, '6':0.1, '7':0.1} # intrinsic probs\n",
        "probsEdges={('0','1'):0.2, ('0','2'):0.3, ('1','2'):0.2, ('1','3'):0.3, ('1','4'):0.2, ('2','3'):0.3, ('2','4'):0.2, \n",
        "            ('2','5'):0.3, ('3','4'):0.2, ('3','5'):0.5, ('4','5'):0.4, ('5','6'):0.3, ('5','7'):0.2, ('6','7'):0.4} # transition probs\n",
        "\n",
        "print(\"Number of risk items = \", len(nodes))\n",
        "print(\"Number of correlations = \", len(edges))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "UrAnYtuvRIeT",
        "outputId": "8df43d84-0da5-4bec-c6ee-35cecf6739e3"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 7 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1591.6x1589.28 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 9
        }
      ],
      "source": [
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "rm.draw(output='mpl')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "eJiTuNg5RNu5",
        "outputId": "ed83f3a8-941e-4715-d1cb-0a611d26e730"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1621.88x1769.88 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-------------------------------\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 10
        }
      ],
      "source": [
        "rm.measure_all()\n",
        "display(rm.draw(output='mpl'))\n",
        "print(\"-------------------------------\")\n",
        "\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(rm, backend,shots=100000)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 319
        },
        "id": "KsSdy8ijRgLL",
        "outputId": "5746b997-2785-4acc-c415-6271a14c98f2"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "## building the graph from adjacency matrix for visual representation\n",
        "G = nx.Graph()\n",
        "G = nx.from_numpy_array(mat)\n",
        "nx.draw(G, with_labels=True, alpha=0.8, node_size=500)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "URNLmbppRtF3",
        "outputId": "137da7f0-865b-469b-ad39-c47f1d5a5edc"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 7 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        }
      ],
      "source": [
        "## use Oracle to build QAE and evaluate probabaility for state 'STATELIST'\n",
        "name = \"test\"\n",
        "STATELIST = [\"11111111\"] # we search for the joint probability where all 8 parameters are triggered\n",
        "Nshots = 100000 # number of shots\n",
        "QAEqubits = 12 # QAE bit precision --> 8 bit strings at the end of the measurement to differentiate 2^8 = 265 bins\n",
        "\n",
        "\n",
        "#rm = BRMlist(RIlist,TPlist,model2gate=True)\n",
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=True) \n",
        "ora = brmoracle(\"ora\",rm,len(nodes),0,STATELIST)\n",
        "QAE=qae(QAEqubits,len(nodes),len(nodes),rm,ora)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "background_save": true
        },
        "id": "98ixVKlqR66o",
        "outputId": "4310dd51-3ebb-4ef0-ff51-dc2974780500"
      },
      "outputs": [
        {
          "ename": "NameError",
          "evalue": "ignored",
          "output_type": "error",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-1-58e7dc870639>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;31m## execution with local quantum simulator (qasm simulator)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mbackend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mAer\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_backend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'qasm_simulator'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      3\u001b[0m \u001b[0mjob\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mexecute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mQAE\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbackend\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mshots\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mNshots\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mjob\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mcounts\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mjob\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mresult\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_counts\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;31mNameError\u001b[0m: name 'Aer' is not defined"
          ]
        }
      ],
      "source": [
        "## execution with local quantum simulator (qasm simulator)\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(QAE, backend,shots=Nshots)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(70,30))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "H5cYNrUKUwS8"
      },
      "outputs": [],
      "source": [
        "# post processing: we see two different peaks from the QAE\n",
        "\n",
        "showQAEoutput(counts,STATELIST,QAEqubits)"
      ]
    }
  ],
  "metadata": {
    "accelerator": "GPU",
    "colab": {
      "collapsed_sections": [],
      "machine_shape": "hm",
      "name": "Risk_Analysis_Hackathon.ipynb",
      "provenance": [],
      "include_colab_link": true
    },
    "gpuClass": "standard",
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
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    "language_info": {
      "codemirror_mode": {
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      "file_extension": ".py",
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      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
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