{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "67563bc9",
   "metadata": {},
   "source": [
    "## total_search"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7400e79e",
   "metadata": {},
   "source": [
    "### **Outline**\n",
    "This function calculates the number of qubits required on the quantum circuit based on the list of products of Pauli matrices that make up the linear combination."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfd89683",
   "metadata": {},
   "source": [
    "### **引数一覧**\n",
    "|argument name|type|role|\n",
    "|---|---|---|\n",
    "|ope_list|list(elements:int)|List of prodactions of Pauli matrices|"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01b52249",
   "metadata": {},
   "source": [
    "### **戻り値**\n",
    "np.array(bit_list).max()+1（int）:\\\n",
    "Returns the maximum target qubit index plus one.\n",
    "This is because qubit indices start from zero."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b8ec0f7",
   "metadata": {},
   "source": [
    "### **Python code**\n",
    "```python\n",
    "def total_search(ope_list):\n",
    "    \"\"\"\n",
    "    This function reads out the coefficients and Pauli matrix product information from the results of the Jordan–Wigner and Bravyi–Kitaev transformations performed using OpenFermion.\n",
    "\n",
    "    Parameters:\n",
    "        ope_list: the information about Pauli matrix product\n",
    "\n",
    "    Returns:\n",
    "        int: the number of qubits which express quantum state\n",
    "    \"\"\"\n",
    "    # Local Values\n",
    "    bit_list = [] # A list to store the results of the reading process for the number of qubits\n",
    "    app_list = \"\" # A temporary list to store the results of the reading process for the number of qubits\n",
    "    for i in range(len(ope_list) - 1):\n",
    "        for j in range(len(ope_list[i+1])-1):\n",
    "            app_switch = 0\n",
    "            if ope_list[i+1][j+1] == \"X\":\n",
    "                app_switch = 1\n",
    "            if ope_list[i+1][j+1] == \"Y\":\n",
    "                app_switch = 1\n",
    "            if ope_list[i+1][j+1] == \"Z\":\n",
    "                app_switch = 1\n",
    "            if ope_list[i+1][j+1] == \"I\":\n",
    "                app_switch = 1\n",
    "            if app_switch == 0:\n",
    "                app_list += str(ope_list[i+1][j+1])\n",
    "            if app_switch == 1:\n",
    "                bit_list.append(int(app_list))\n",
    "                app_list = \"\"\n",
    "        bit_list.append(int(app_list))\n",
    "        app_list = \"\"\n",
    "    return np.array(bit_list).max()+1\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8df83144",
   "metadata": {},
   "source": [
    "### **実行例**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ac05812e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pitbe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "958b7860",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n"
     ]
    }
   ],
   "source": [
    "ope = ['', 'X0X1Y2Y3', 'X0Y1Y2X3', 'Y0X1X2Y3', 'Y0Y1X2X3', 'Z0', 'Z0Z1', 'Z0Z2', 'Z0Z3', 'Z1', 'Z1Z2', 'Z1Z3', 'Z2', 'Z2Z3', 'Z3']\n",
    "main = pitbe.total_search(ope)\n",
    "print(main)"
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}