From 5ec78bf634b54418704d0dad3b0503afe709e06b Mon Sep 17 00:00:00 2001
From: soroushfathi <soroush8fathi@gmail.com>
Date: Fri, 5 Sep 2025 19:43:39 +0330
Subject: [PATCH 1/2] migrate to v2

---
 .gitignore                    |   0
 Shors_Algorithm_project.ipynb | 519 ++++++++++++++++++++--------------
 2 files changed, 303 insertions(+), 216 deletions(-)
 create mode 100644 .gitignore

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..e69de29
diff --git a/Shors_Algorithm_project.ipynb b/Shors_Algorithm_project.ipynb
index 503f19d..653684b 100644
--- a/Shors_Algorithm_project.ipynb
+++ b/Shors_Algorithm_project.ipynb
@@ -2,9 +2,25 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 21,
    "id": "bace84ce-95cd-4a78-bc76-963ef0000ffd",
-   "metadata": {},
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:11:34.336648Z",
+     "start_time": "2025-09-05T16:11:34.329895Z"
+    }
+   },
+   "source": [
+    "import numpy as np\n",
+    "# Importing standard Qiskit libraries\n",
+    "from qiskit import QuantumCircuit, transpile\n",
+    "from qiskit_aer import Aer\n",
+    "from qiskit_aer.backends.qasm_simulator import QasmSimulator\n",
+    "from qiskit.visualization import plot_histogram\n",
+    "import pandas as pd\n",
+    "from fractions import Fraction\n",
+    "\n",
+    "print(\"Imports Successful\")"
+   ],
    "outputs": [
     {
      "name": "stdout",
@@ -12,43 +28,19 @@
      "text": [
       "Imports Successful\n"
      ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "ibmqfactory.load_account:WARNING:2022-05-13 19:43:23,952: Credentials are already in use. The existing account in the session will be replaced.\n"
-     ]
     }
    ],
-   "source": [
-    "import numpy as np\n",
-    "\n",
-    "# Importing standard Qiskit libraries\n",
-    "from qiskit import QuantumCircuit, transpile, Aer, IBMQ\n",
-    "from qiskit.tools.jupyter import *\n",
-    "from qiskit.visualization import *\n",
-    "from ibm_quantum_widgets import *\n",
-    "from qiskit.providers.aer import QasmSimulator\n",
-    "import matplotlib.pyplot as plt\n",
-    "from qiskit import QuantumCircuit, Aer, transpile, assemble\n",
-    "from qiskit.visualization import plot_histogram\n",
-    "from math import gcd\n",
-    "from numpy.random import randint\n",
-    "import pandas as pd\n",
-    "from fractions import Fraction\n",
-    "print(\"Imports Successful\")\n",
-    "\n",
-    "# Loading your IBM Quantum account(s)\n",
-    "provider = IBMQ.load_account()"
-   ]
+   "execution_count": 8
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
    "id": "453a741d-fd02-4499-9325-0cdc2d161607",
-   "metadata": {},
-   "outputs": [],
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:11:41.973563Z",
+     "start_time": "2025-09-05T16:11:41.949503Z"
+    }
+   },
    "source": [
     "#defining the U gates for mod 63\n",
     "def c_amod63(a, power):\n",
@@ -59,7 +51,7 @@
     "    U = QuantumCircuit(6) \n",
     "    \n",
     "    #implementing the swap gates for rotation \n",
-    "    #we implement every number and see common behaivor between the numbers \n",
+    "    # we implement every number and see common behavior between the numbers\n",
     "    for iteration in range(power):\n",
     "        \n",
     "        if a in [2,61]:\n",
@@ -203,26 +195,36 @@
     "    U.name = \"%i^%i mod 63\" % (a, power)\n",
     "    c_U = U.control()\n",
     "    return c_U"
-   ]
+   ],
+   "outputs": [],
+   "execution_count": 9
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
    "id": "6565a1fa-cab2-40ad-9a7a-78e43ac11c19",
-   "metadata": {},
-   "outputs": [],
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:11:43.945889Z",
+     "start_time": "2025-09-05T16:11:43.941258Z"
+    }
+   },
    "source": [
     "# Specify variables\n",
     "n_count = 10  # number of counting qubits\n",
     "a = 13"
-   ]
+   ],
+   "outputs": [],
+   "execution_count": 10
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
    "id": "68e40b9b-ebe9-477d-b179-62bf7abaea8d",
-   "metadata": {},
-   "outputs": [],
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:11:44.783564Z",
+     "start_time": "2025-09-05T16:11:44.777095Z"
+    }
+   },
    "source": [
     "def qft_dagger(n):\n",
     "    \"\"\"n-qubit QFTdagger the first n qubits in circ\"\"\"\n",
@@ -236,26 +238,19 @@
     "        qc.h(j)\n",
     "    qc.name = \"QFT†\"\n",
     "    return qc"
-   ]
+   ],
+   "outputs": [],
+   "execution_count": 11
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
    "id": "36925229-a6b1-4028-88e6-07988d94d96b",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-      "text/plain": [
-       "<Figure size 2688.32x1288.28 with 1 Axes>"
-      ]
-     },
-     "execution_count": 25,
-     "metadata": {},
-     "output_type": "execute_result"
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:11:46.535597Z",
+     "start_time": "2025-09-05T16:11:45.538368Z"
     }
-   ],
+   },
    "source": [
     "# Create QuantumCircuit with n_count counting qubits\n",
     "# plus 4 qubits for U to act on\n",
@@ -280,108 +275,149 @@
     "# Measure circuit\n",
     "qc.measure(range(n_count), range(n_count))\n",
     "qc.draw(fold=-1)  # -1 means 'do not fold' "
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 26,
-   "id": "ed38c184-0d04-48e8-b610-3ddc70282525",
-   "metadata": {},
+   ],
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
       "text/plain": [
-       "<Figure size 504x360 with 1 Axes>"
+       "      ┌───┐                                                                                                                                                                         ┌───────┐┌─┐                           \n",
+       " q_0: ┤ H ├───────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤0      ├┤M├───────────────────────────\n",
+       "      ├───┤       │                                                                                                                                                                 │       │└╥┘┌─┐                        \n",
+       " q_1: ┤ H ├───────┼───────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤1      ├─╫─┤M├────────────────────────\n",
+       "      ├───┤       │               │                                                                                                                                                 │       │ ║ └╥┘┌─┐                     \n",
+       " q_2: ┤ H ├───────┼───────────────┼───────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤2      ├─╫──╫─┤M├─────────────────────\n",
+       "      ├───┤       │               │               │                                                                                                                                 │       │ ║  ║ └╥┘┌─┐                  \n",
+       " q_3: ┤ H ├───────┼───────────────┼───────────────┼───────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤3      ├─╫──╫──╫─┤M├──────────────────\n",
+       "      ├───┤       │               │               │               │                                                                                                                 │       │ ║  ║  ║ └╥┘┌─┐               \n",
+       " q_4: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────■────────────────────────────────────────────────────────────────────────────────────────────────┤4      ├─╫──╫──╫──╫─┤M├───────────────\n",
+       "      ├───┤       │               │               │               │                │                                                                                                │  QFT† │ ║  ║  ║  ║ └╥┘┌─┐            \n",
+       " q_5: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────■───────────────────────────────────────────────────────────────────────────────┤5      ├─╫──╫──╫──╫──╫─┤M├────────────\n",
+       "      ├───┤       │               │               │               │                │                │                                                                               │       │ ║  ║  ║  ║  ║ └╥┘┌─┐         \n",
+       " q_6: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────■──────────────────────────────────────────────────────────────┤6      ├─╫──╫──╫──╫──╫──╫─┤M├─────────\n",
+       "      ├───┤       │               │               │               │                │                │                │                                                              │       │ ║  ║  ║  ║  ║  ║ └╥┘┌─┐      \n",
+       " q_7: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────┼────────────────■─────────────────────────────────────────────┤7      ├─╫──╫──╫──╫──╫──╫──╫─┤M├──────\n",
+       "      ├───┤       │               │               │               │                │                │                │                │                                             │       │ ║  ║  ║  ║  ║  ║  ║ └╥┘┌─┐   \n",
+       " q_8: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────┼────────────────┼─────────────────■───────────────────────────┤8      ├─╫──╫──╫──╫──╫──╫──╫──╫─┤M├───\n",
+       "      ├───┤       │               │               │               │                │                │                │                │                 │                           │       │ ║  ║  ║  ║  ║  ║  ║  ║ └╥┘┌─┐\n",
+       " q_9: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────┼────────────────┼─────────────────┼─────────────────■─────────┤9      ├─╫──╫──╫──╫──╫──╫──╫──╫──╫─┤M├\n",
+       "      └───┘┌──────┴───────┐┌──────┴───────┐┌──────┴───────┐┌──────┴───────┐┌───────┴───────┐┌───────┴───────┐┌───────┴───────┐┌───────┴────────┐┌───────┴────────┐┌───────┴────────┐└───────┘ ║  ║  ║  ║  ║  ║  ║  ║  ║ └╥┘\n",
+       "q_10: ─────┤0             ├┤0             ├┤0             ├┤0             ├┤0              ├┤0              ├┤0              ├┤0               ├┤0               ├┤0               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           │              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_11: ─────┤1             ├┤1             ├┤1             ├┤1             ├┤1              ├┤1              ├┤1              ├┤1               ├┤1               ├┤1               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           │              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_12: ─────┤2             ├┤2             ├┤2             ├┤2             ├┤2              ├┤2              ├┤2              ├┤2               ├┤2               ├┤2               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "      ┌───┐│  13^1 mod 63 ││  13^2 mod 63 ││  13^4 mod 63 ││  13^8 mod 63 ││  13^16 mod 63 ││  13^32 mod 63 ││  13^64 mod 63 ││  13^128 mod 63 ││  13^256 mod 63 ││  13^512 mod 63 │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_13: ┤ X ├┤3             ├┤3             ├┤3             ├┤3             ├┤3              ├┤3              ├┤3              ├┤3               ├┤3               ├┤3               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "      └───┘│              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_14: ─────┤4             ├┤4             ├┤4             ├┤4             ├┤4              ├┤4              ├┤4              ├┤4               ├┤4               ├┤4               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           │              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_15: ─────┤5             ├┤5             ├┤5             ├┤5             ├┤5              ├┤5              ├┤5              ├┤5               ├┤5               ├┤5               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           └──────────────┘└──────────────┘└──────────────┘└──────────────┘└───────────────┘└───────────────┘└───────────────┘└────────────────┘└────────────────┘└────────────────┘          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_16: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_17: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_18: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_19: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "c: 10/════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════╩══╩══╩══╩══╩══╩══╩══╩══╩══╩═\n",
+       "                                                                                                                                                                                              0  1  2  3  4  5  6  7  8  9 "
+      ],
+      "text/html": [
+       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">      ┌───┐                                                                                                                                                                         ┌───────┐┌─┐                           \n",
+       " q_0: ┤ H ├───────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤0      ├┤M├───────────────────────────\n",
+       "      ├───┤       │                                                                                                                                                                 │       │└╥┘┌─┐                        \n",
+       " q_1: ┤ H ├───────┼───────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤1      ├─╫─┤M├────────────────────────\n",
+       "      ├───┤       │               │                                                                                                                                                 │       │ ║ └╥┘┌─┐                     \n",
+       " q_2: ┤ H ├───────┼───────────────┼───────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤2      ├─╫──╫─┤M├─────────────────────\n",
+       "      ├───┤       │               │               │                                                                                                                                 │       │ ║  ║ └╥┘┌─┐                  \n",
+       " q_3: ┤ H ├───────┼───────────────┼───────────────┼───────────────■─────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤3      ├─╫──╫──╫─┤M├──────────────────\n",
+       "      ├───┤       │               │               │               │                                                                                                                 │       │ ║  ║  ║ └╥┘┌─┐               \n",
+       " q_4: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────■────────────────────────────────────────────────────────────────────────────────────────────────┤4      ├─╫──╫──╫──╫─┤M├───────────────\n",
+       "      ├───┤       │               │               │               │                │                                                                                                │  QFT† │ ║  ║  ║  ║ └╥┘┌─┐            \n",
+       " q_5: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────■───────────────────────────────────────────────────────────────────────────────┤5      ├─╫──╫──╫──╫──╫─┤M├────────────\n",
+       "      ├───┤       │               │               │               │                │                │                                                                               │       │ ║  ║  ║  ║  ║ └╥┘┌─┐         \n",
+       " q_6: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────■──────────────────────────────────────────────────────────────┤6      ├─╫──╫──╫──╫──╫──╫─┤M├─────────\n",
+       "      ├───┤       │               │               │               │                │                │                │                                                              │       │ ║  ║  ║  ║  ║  ║ └╥┘┌─┐      \n",
+       " q_7: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────┼────────────────■─────────────────────────────────────────────┤7      ├─╫──╫──╫──╫──╫──╫──╫─┤M├──────\n",
+       "      ├───┤       │               │               │               │                │                │                │                │                                             │       │ ║  ║  ║  ║  ║  ║  ║ └╥┘┌─┐   \n",
+       " q_8: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────┼────────────────┼─────────────────■───────────────────────────┤8      ├─╫──╫──╫──╫──╫──╫──╫──╫─┤M├───\n",
+       "      ├───┤       │               │               │               │                │                │                │                │                 │                           │       │ ║  ║  ║  ║  ║  ║  ║  ║ └╥┘┌─┐\n",
+       " q_9: ┤ H ├───────┼───────────────┼───────────────┼───────────────┼────────────────┼────────────────┼────────────────┼────────────────┼─────────────────┼─────────────────■─────────┤9      ├─╫──╫──╫──╫──╫──╫──╫──╫──╫─┤M├\n",
+       "      └───┘┌──────┴───────┐┌──────┴───────┐┌──────┴───────┐┌──────┴───────┐┌───────┴───────┐┌───────┴───────┐┌───────┴───────┐┌───────┴────────┐┌───────┴────────┐┌───────┴────────┐└───────┘ ║  ║  ║  ║  ║  ║  ║  ║  ║ └╥┘\n",
+       "q_10: ─────┤0             ├┤0             ├┤0             ├┤0             ├┤0              ├┤0              ├┤0              ├┤0               ├┤0               ├┤0               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           │              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_11: ─────┤1             ├┤1             ├┤1             ├┤1             ├┤1              ├┤1              ├┤1              ├┤1               ├┤1               ├┤1               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           │              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_12: ─────┤2             ├┤2             ├┤2             ├┤2             ├┤2              ├┤2              ├┤2              ├┤2               ├┤2               ├┤2               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "      ┌───┐│  13^1 mod 63 ││  13^2 mod 63 ││  13^4 mod 63 ││  13^8 mod 63 ││  13^16 mod 63 ││  13^32 mod 63 ││  13^64 mod 63 ││  13^128 mod 63 ││  13^256 mod 63 ││  13^512 mod 63 │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_13: ┤ X ├┤3             ├┤3             ├┤3             ├┤3             ├┤3              ├┤3              ├┤3              ├┤3               ├┤3               ├┤3               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "      └───┘│              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_14: ─────┤4             ├┤4             ├┤4             ├┤4             ├┤4              ├┤4              ├┤4              ├┤4               ├┤4               ├┤4               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           │              ││              ││              ││              ││               ││               ││               ││                ││                ││                │          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_15: ─────┤5             ├┤5             ├┤5             ├┤5             ├┤5              ├┤5              ├┤5              ├┤5               ├┤5               ├┤5               ├──────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "           └──────────────┘└──────────────┘└──────────────┘└──────────────┘└───────────────┘└───────────────┘└───────────────┘└────────────────┘└────────────────┘└────────────────┘          ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_16: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_17: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_18: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "q_19: ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────╫──╫──╫──╫──╫──╫──╫──╫──╫──╫─\n",
+       "                                                                                                                                                                                              ║  ║  ║  ║  ║  ║  ║  ║  ║  ║ \n",
+       "c: 10/════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════════╩══╩══╩══╩══╩══╩══╩══╩══╩══╩═\n",
+       "                                                                                                                                                                                              0  1  2  3  4  5  6  7  8  9 </pre>"
       ]
      },
-     "execution_count": 26,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
+   "execution_count": 12
+  },
+  {
+   "cell_type": "code",
+   "id": "ed38c184-0d04-48e8-b610-3ddc70282525",
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:11:52.749370Z",
+     "start_time": "2025-09-05T16:11:49.621614Z"
+    }
+   },
    "source": [
     "aer_sim = Aer.get_backend('aer_simulator')\n",
     "t_qc = transpile(qc, aer_sim)\n",
-    "qobj = assemble(t_qc)\n",
-    "results = aer_sim.run(qobj).result()\n",
+    "# qobj = assemble(t_qc)\n",
+    "results = aer_sim.run(t_qc).result()\n",
     "counts = results.get_counts()\n",
     "plot_histogram(counts)"
-   ]
+   ],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ],
+      "image/png": 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"
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "execution_count": 13
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
    "id": "49446009-ffa3-4fcf-a2bd-ee7d1fb4c459",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "               Register Output            Phase\n",
-      "0   1101001001(bin) = 841(dec)  841/1024 = 0.82\n",
-      "1   0101101000(bin) = 360(dec)  360/1024 = 0.35\n",
-      "2   1101010010(bin) = 850(dec)  850/1024 = 0.83\n",
-      "3   1101010011(bin) = 851(dec)  851/1024 = 0.83\n",
-      "4   0101001100(bin) = 332(dec)  332/1024 = 0.32\n",
-      "5   0101001110(bin) = 334(dec)  334/1024 = 0.33\n",
-      "6   0011000000(bin) = 192(dec)  192/1024 = 0.19\n",
-      "7   0010100110(bin) = 166(dec)  166/1024 = 0.16\n",
-      "8   1010100110(bin) = 678(dec)  678/1024 = 0.66\n",
-      "9   1010100101(bin) = 677(dec)  677/1024 = 0.66\n",
-      "10  0101010001(bin) = 337(dec)  337/1024 = 0.33\n",
-      "11  1101001100(bin) = 844(dec)  844/1024 = 0.82\n",
-      "12  0101011011(bin) = 347(dec)  347/1024 = 0.34\n",
-      "13  0101111101(bin) = 381(dec)  381/1024 = 0.37\n",
-      "14  0101001111(bin) = 335(dec)  335/1024 = 0.33\n",
-      "15  1101010000(bin) = 848(dec)  848/1024 = 0.83\n",
-      "16  0101010000(bin) = 336(dec)  336/1024 = 0.33\n",
-      "17  1101000100(bin) = 836(dec)  836/1024 = 0.82\n",
-      "18  0010110100(bin) = 180(dec)  180/1024 = 0.18\n",
-      "19  1101000011(bin) = 835(dec)  835/1024 = 0.82\n",
-      "20  1011011000(bin) = 728(dec)  728/1024 = 0.71\n",
-      "21  1010110001(bin) = 689(dec)  689/1024 = 0.67\n",
-      "22  0010101001(bin) = 169(dec)  169/1024 = 0.17\n",
-      "23  1101011000(bin) = 856(dec)  856/1024 = 0.84\n",
-      "24  1010101001(bin) = 681(dec)  681/1024 = 0.67\n",
-      "25  0010101110(bin) = 174(dec)  174/1024 = 0.17\n",
-      "26  0000000000(bin) =   0(dec)    0/1024 = 0.00\n",
-      "27  1101010100(bin) = 852(dec)  852/1024 = 0.83\n",
-      "28  0101010110(bin) = 342(dec)  342/1024 = 0.33\n",
-      "29  1010011101(bin) = 669(dec)  669/1024 = 0.65\n",
-      "30  1010101010(bin) = 682(dec)  682/1024 = 0.67\n",
-      "31  1000000000(bin) = 512(dec)  512/1024 = 0.50\n",
-      "32  1101010110(bin) = 854(dec)  854/1024 = 0.83\n",
-      "33  0101010101(bin) = 341(dec)  341/1024 = 0.33\n",
-      "34  1010101011(bin) = 683(dec)  683/1024 = 0.67\n",
-      "35  0010110010(bin) = 178(dec)  178/1024 = 0.17\n",
-      "36  0101010011(bin) = 339(dec)  339/1024 = 0.33\n",
-      "37  0010101011(bin) = 171(dec)  171/1024 = 0.17\n",
-      "38  0101010010(bin) = 338(dec)  338/1024 = 0.33\n",
-      "39  0010111000(bin) = 184(dec)  184/1024 = 0.18\n",
-      "40  0101011000(bin) = 344(dec)  344/1024 = 0.34\n",
-      "41  0010101100(bin) = 172(dec)  172/1024 = 0.17\n",
-      "42  0010101101(bin) = 173(dec)  173/1024 = 0.17\n",
-      "43  0010110101(bin) = 181(dec)  181/1024 = 0.18\n",
-      "44  0101011001(bin) = 345(dec)  345/1024 = 0.34\n",
-      "45  0010101010(bin) = 170(dec)  170/1024 = 0.17\n",
-      "46  1010101111(bin) = 687(dec)  687/1024 = 0.67\n",
-      "47  1010101100(bin) = 684(dec)  684/1024 = 0.67\n",
-      "48  1101011101(bin) = 861(dec)  861/1024 = 0.84\n",
-      "49  0010101000(bin) = 168(dec)  168/1024 = 0.16\n",
-      "50  0101010111(bin) = 343(dec)  343/1024 = 0.33\n",
-      "51  0101010100(bin) = 340(dec)  340/1024 = 0.33\n",
-      "52  0010100001(bin) = 161(dec)  161/1024 = 0.16\n",
-      "53  0000111101(bin) =  61(dec)   61/1024 = 0.06\n",
-      "54  1101010111(bin) = 855(dec)  855/1024 = 0.83\n",
-      "55  1010101000(bin) = 680(dec)  680/1024 = 0.66\n",
-      "56  1101011110(bin) = 862(dec)  862/1024 = 0.84\n",
-      "57  1101010101(bin) = 853(dec)  853/1024 = 0.83\n",
-      "58  1010101101(bin) = 685(dec)  685/1024 = 0.67\n"
-     ]
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:12:07.001660Z",
+     "start_time": "2025-09-05T16:12:06.986683Z"
     }
-   ],
+   },
    "source": [
     "rows, measured_phases = [], []\n",
     "for output in counts:\n",
@@ -395,13 +431,75 @@
     "headers=[\"Register Output\", \"Phase\"]\n",
     "df = pd.DataFrame(rows, columns=headers)\n",
     "print(df)"
-   ]
+   ],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "               Register Output            Phase\n",
+      "0   1010101011(bin) = 683(dec)  683/1024 = 0.67\n",
+      "1   0101010101(bin) = 341(dec)  341/1024 = 0.33\n",
+      "2   0010101011(bin) = 171(dec)  171/1024 = 0.17\n",
+      "3   1101011000(bin) = 856(dec)  856/1024 = 0.84\n",
+      "4   0010101010(bin) = 170(dec)  170/1024 = 0.17\n",
+      "5   0010101001(bin) = 169(dec)  169/1024 = 0.17\n",
+      "6   0000000000(bin) =   0(dec)    0/1024 = 0.00\n",
+      "7   1010101100(bin) = 684(dec)  684/1024 = 0.67\n",
+      "8   0101010100(bin) = 340(dec)  340/1024 = 0.33\n",
+      "9   0010101100(bin) = 172(dec)  172/1024 = 0.17\n",
+      "10  1000000000(bin) = 512(dec)  512/1024 = 0.50\n",
+      "11  1101010101(bin) = 853(dec)  853/1024 = 0.83\n",
+      "12  1101010110(bin) = 854(dec)  854/1024 = 0.83\n",
+      "13  1010101010(bin) = 682(dec)  682/1024 = 0.67\n",
+      "14  0101010110(bin) = 342(dec)  342/1024 = 0.33\n",
+      "15  1101011010(bin) = 858(dec)  858/1024 = 0.84\n",
+      "16  1110010101(bin) = 917(dec)  917/1024 = 0.90\n",
+      "17  0010101000(bin) = 168(dec)  168/1024 = 0.16\n",
+      "18  0101010011(bin) = 339(dec)  339/1024 = 0.33\n",
+      "19  1010101101(bin) = 685(dec)  685/1024 = 0.67\n",
+      "20  0010101101(bin) = 173(dec)  173/1024 = 0.17\n",
+      "21  1101010011(bin) = 851(dec)  851/1024 = 0.83\n",
+      "22  1101010111(bin) = 855(dec)  855/1024 = 0.83\n",
+      "23  1101011110(bin) = 862(dec)  862/1024 = 0.84\n",
+      "24  1101010010(bin) = 850(dec)  850/1024 = 0.83\n",
+      "25  1110100000(bin) = 928(dec)  928/1024 = 0.91\n",
+      "26  1010100101(bin) = 677(dec)  677/1024 = 0.66\n",
+      "27  0011001000(bin) = 200(dec)  200/1024 = 0.20\n",
+      "28  0010101111(bin) = 175(dec)  175/1024 = 0.17\n",
+      "29  1101010100(bin) = 852(dec)  852/1024 = 0.83\n",
+      "30  1010110100(bin) = 692(dec)  692/1024 = 0.68\n",
+      "31  0101010010(bin) = 338(dec)  338/1024 = 0.33\n",
+      "32  1010101000(bin) = 680(dec)  680/1024 = 0.66\n",
+      "33  0101110011(bin) = 371(dec)  371/1024 = 0.36\n",
+      "34  0110101011(bin) = 427(dec)  427/1024 = 0.42\n",
+      "35  1101010000(bin) = 848(dec)  848/1024 = 0.83\n",
+      "36  1010110000(bin) = 688(dec)  688/1024 = 0.67\n",
+      "37  0101010001(bin) = 337(dec)  337/1024 = 0.33\n",
+      "38  0010101110(bin) = 174(dec)  174/1024 = 0.17\n",
+      "39  0101011001(bin) = 345(dec)  345/1024 = 0.34\n",
+      "40  0101010111(bin) = 343(dec)  343/1024 = 0.33\n",
+      "41  1010101001(bin) = 681(dec)  681/1024 = 0.67\n",
+      "42  0101011010(bin) = 346(dec)  346/1024 = 0.34\n",
+      "43  1010111011(bin) = 699(dec)  699/1024 = 0.68\n",
+      "44  1010111001(bin) = 697(dec)  697/1024 = 0.68\n"
+     ]
+    }
+   ],
+   "execution_count": 14
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
    "id": "a9e33d37-219f-4a4c-baa5-17514de44653",
-   "metadata": {},
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:12:16.357525Z",
+     "start_time": "2025-09-05T16:12:16.352117Z"
+    }
+   },
+   "source": [
+    "Fraction(0.666)"
+   ],
    "outputs": [
     {
      "data": {
@@ -409,14 +507,12 @@
        "Fraction(5998794703657501, 9007199254740992)"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
-   "source": [
-    "Fraction(0.666)"
-   ]
+   "execution_count": 15
   },
   {
    "cell_type": "code",
@@ -443,77 +539,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
    "id": "e964dd6c-59bd-4c0f-b023-25225ff628e5",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "       Phase Fraction  Guess for r\n",
-      "0   0.821289    23/28           28\n",
-      "1   0.351562    13/37           37\n",
-      "2   0.830078    44/53           53\n",
-      "3   0.831055    49/59           59\n",
-      "4   0.324219    12/37           37\n",
-      "5   0.326172    15/46           46\n",
-      "6   0.187500     3/16           16\n",
-      "7   0.162109     6/37           37\n",
-      "8   0.662109    41/62           62\n",
-      "9   0.661133    39/59           59\n",
-      "10  0.329102    20/61           61\n",
-      "11  0.824219    47/57           57\n",
-      "12  0.338867    20/59           59\n",
-      "13  0.372070    16/43           43\n",
-      "14  0.327148    18/55           55\n",
-      "15  0.828125    29/35           35\n",
-      "16  0.328125    20/61           61\n",
-      "17  0.816406    40/49           49\n",
-      "18  0.175781    10/57           57\n",
-      "19  0.815430    31/38           38\n",
-      "20  0.710938    32/45           45\n",
-      "21  0.672852    37/55           55\n",
-      "22  0.165039    10/61           61\n",
-      "23  0.835938    51/61           61\n",
-      "24  0.665039      2/3            3\n",
-      "25  0.169922     9/53           53\n",
-      "26  0.000000      0/1            1\n",
-      "27  0.832031      5/6            6\n",
-      "28  0.333984      1/3            3\n",
-      "29  0.653320    32/49           49\n",
-      "30  0.666016      2/3            3\n",
-      "31  0.500000      1/2            2\n",
-      "32  0.833984      5/6            6\n",
-      "33  0.333008      1/3            3\n",
-      "34  0.666992      2/3            3\n",
-      "35  0.173828     4/23           23\n",
-      "36  0.331055      1/3            3\n",
-      "37  0.166992      1/6            6\n",
-      "38  0.330078    20/61           61\n",
-      "39  0.179688     7/39           39\n",
-      "40  0.335938      1/3            3\n",
-      "41  0.167969      1/6            6\n",
-      "42  0.168945    10/59           59\n",
-      "43  0.176758     3/17           17\n",
-      "44  0.336914    21/62           62\n",
-      "45  0.166016      1/6            6\n",
-      "46  0.670898    41/61           61\n",
-      "47  0.667969      2/3            3\n",
-      "48  0.840820    37/44           44\n",
-      "49  0.164062    10/61           61\n",
-      "50  0.334961      1/3            3\n",
-      "51  0.332031      1/3            3\n",
-      "52  0.157227     8/51           51\n",
-      "53  0.059570     3/50           50\n",
-      "54  0.834961    51/61           61\n",
-      "55  0.664062      2/3            3\n",
-      "56  0.841797    16/19           19\n",
-      "57  0.833008      5/6            6\n",
-      "58  0.668945      2/3            3\n"
-     ]
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-09-05T16:12:24.899690Z",
+     "start_time": "2025-09-05T16:12:24.887754Z"
     }
-   ],
+   },
    "source": [
     "\n",
     "rows = []\n",
@@ -524,7 +556,62 @@
     "headers=[\"Phase\", \"Fraction\", \"Guess for r\"]\n",
     "df = pd.DataFrame(rows, columns=headers)\n",
     "print(df)"
-   ]
+   ],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "       Phase Fraction  Guess for r\n",
+      "0   0.666992      2/3            3\n",
+      "1   0.333008      1/3            3\n",
+      "2   0.166992      1/6            6\n",
+      "3   0.835938    51/61           61\n",
+      "4   0.166016      1/6            6\n",
+      "5   0.165039    10/61           61\n",
+      "6   0.000000      0/1            1\n",
+      "7   0.667969      2/3            3\n",
+      "8   0.332031      1/3            3\n",
+      "9   0.167969      1/6            6\n",
+      "10  0.500000      1/2            2\n",
+      "11  0.833008      5/6            6\n",
+      "12  0.833984      5/6            6\n",
+      "13  0.666016      2/3            3\n",
+      "14  0.333984      1/3            3\n",
+      "15  0.837891    31/37           37\n",
+      "16  0.895508    43/48           48\n",
+      "17  0.164062    10/61           61\n",
+      "18  0.331055      1/3            3\n",
+      "19  0.668945      2/3            3\n",
+      "20  0.168945    10/59           59\n",
+      "21  0.831055    49/59           59\n",
+      "22  0.834961    51/61           61\n",
+      "23  0.841797    16/19           19\n",
+      "24  0.830078    44/53           53\n",
+      "25  0.906250    29/32           32\n",
+      "26  0.661133    39/59           59\n",
+      "27  0.195312     8/41           41\n",
+      "28  0.170898     7/41           41\n",
+      "29  0.832031      5/6            6\n",
+      "30  0.675781    25/37           37\n",
+      "31  0.330078    20/61           61\n",
+      "32  0.664062      2/3            3\n",
+      "33  0.362305    21/58           58\n",
+      "34  0.416992     5/12           12\n",
+      "35  0.828125    29/35           35\n",
+      "36  0.671875    41/61           61\n",
+      "37  0.329102    20/61           61\n",
+      "38  0.169922     9/53           53\n",
+      "39  0.336914    21/62           62\n",
+      "40  0.334961      1/3            3\n",
+      "41  0.665039      2/3            3\n",
+      "42  0.337891    21/62           62\n",
+      "43  0.682617    43/63           63\n",
+      "44  0.680664    32/47           47\n"
+     ]
+    }
+   ],
+   "execution_count": 16
   },
   {
    "cell_type": "code",

From 60fd5ee2345a5fafa3a6400f16b11f33abc5b696 Mon Sep 17 00:00:00 2001
From: soroushfathi <soroush8fathi@gmail.com>
Date: Fri, 5 Sep 2025 19:43:55 +0330
Subject: [PATCH 2/2] gitignore

---
 .gitignore | 1 +
 1 file changed, 1 insertion(+)

diff --git a/.gitignore b/.gitignore
index e69de29..723ef36 100644
--- a/.gitignore
+++ b/.gitignore
@@ -0,0 +1 @@
+.idea
\ No newline at end of file