Quantum Adder.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fa15eca1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n",
    "from qiskit import BasicAer\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.execute_function import execute\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c7103023",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 454.719x367.889 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "full_adder = QuantumCircuit(4, name = \"Full Adder\")\n",
    "\n",
    "c0, a, b, c1 = full_adder.qubits\n",
    "full_adder.ccx(a, b, c1)\n",
    "full_adder.cx(a, b)\n",
    "full_adder.ccx(c0, b, c1)\n",
    "full_adder.cx(c0, b)\n",
    "\n",
    "full_adder.draw(output = \"mpl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0db451e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "fa_inst = full_adder.to_instruction()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6ccb2b63",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = QuantumRegister(4, \"a\")\n",
    "B = QuantumRegister(4, \"b\")\n",
    "C = QuantumRegister(4, \"c\")\n",
    "ci = QuantumRegister(1, \"c-1\")\n",
    "cr = ClassicalRegister(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3200e4bb",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1298.64x1204 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adder = QuantumCircuit(A, B, ci, C, cr)\n",
    "adder.reset(C)\n",
    "adder.reset(ci)\n",
    "for i in range(A.size):\n",
    "    if i==0:\n",
    "        adder.append(fa_inst, [ci, A[0], B[0], C[0]])\n",
    "    else:\n",
    "        adder.append(fa_inst, [C[i-1], A[i], B[i], C[i]])\n",
    "\n",
    "adder.measure(C[C.size-1], cr[4])        \n",
    "for i in range(B.size-1, -1, -1):\n",
    "    adder.measure(B[i], cr[i])\n",
    "\n",
    "adder.draw(output = \"mpl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "260f7c73",
   "metadata": {},
   "outputs": [],
   "source": [
    "adder_inst = adder.to_instruction()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "48f9c8ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = BasicAer.get_backend('qasm_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bec3fb57",
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_circ():\n",
    "    A = QuantumRegister(4, \"a\")\n",
    "    B = QuantumRegister(4, \"b\")\n",
    "    C = QuantumRegister(4, \"c\")\n",
    "    ci = QuantumRegister(1, \"c-1\")\n",
    "    cr = ClassicalRegister(5)\n",
    "    return A, B, C, ci, cr, QuantumCircuit(A, B, ci, C, cr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d6ba66c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def execute_circuit(qc):\n",
    "    job = execute(qc, backend, shots = 10000)\n",
    "    result = job.result()\n",
    "    return result.get_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5451fb3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7fdc086d1dc0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e1_A, e1_B, e1_C, e1_ci, e1_cr, add_e1 = init_circ()\n",
    "\n",
    "add_e1.x(e1_A[1])\n",
    "add_e1.x(e1_B[0])\n",
    "add_e1.x(e1_B[1])\n",
    "add_e1.x(e1_B[3])\n",
    "\n",
    "add_e1.append(adder_inst, qargs = list(e1_A) + list(e1_B) + list(e1_ci) + list(e1_C), cargs = [e1_cr])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0cd75601",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'01101': 10000}\n"
     ]
    }
   ],
   "source": [
    "counts1 = execute_circuit(add_e1)\n",
    "print(counts1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "30737c2c",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "984c4b8d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7fdc23e253a0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e2_A, e2_B, e2_C, e2_ci, e2_cr, add_e2 = init_circ()\n",
    "\n",
    "add_e2.x(e2_A[0])\n",
    "add_e2.x(e2_B[0])\n",
    "add_e2.x(e2_B[1])\n",
    "\n",
    "add_e2.append(adder_inst, qargs = list(e2_A) + list(e2_B) + list(e2_ci) + list(e2_C), cargs = [e2_cr])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "501bcb23",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00100': 10000}\n"
     ]
    }
   ],
   "source": [
    "counts2 = execute_circuit(add_e2)\n",
    "print(counts2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7c20f43c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "86ff9bd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7fdc240050d0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e3_A, e3_B, e3_C, e3_ci, e3_cr, add_e3 = init_circ()\n",
    "\n",
    "add_e3.x(e3_A[1])\n",
    "add_e3.h(e3_A[2])\n",
    "add_e3.cx(e3_A[2], e3_A[1])\n",
    "\n",
    "add_e3.x(e3_B[0])\n",
    "add_e3.h(e3_B[1])\n",
    "add_e3.cx(e3_B[1], e3_B[3])\n",
    "\n",
    "add_e3.append(adder_inst, qargs = list(e3_A) + list(e3_B) + list(e3_ci) + list(e3_C), cargs = [e3_cr])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "1358a756",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00101': 2518, '01101': 2446, '00011': 2506, '01111': 2530}\n"
     ]
    }
   ],
   "source": [
    "counts3 = execute_circuit(add_e3)\n",
    "print(counts3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "2565cef4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "e7c01053",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7fdc115387f0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e4_A, e4_B, e4_C, e4_ci, e4_cr, add_e4 = init_circ()\n",
    "\n",
    "add_e4.h(e4_A[2])\n",
    "add_e4.cx(e4_A[2], e4_A[1])\n",
    "add_e4.cx(e4_A[1], e4_A[0])\n",
    "\n",
    "add_e4.h(e4_B[3])\n",
    "add_e4.cx(e4_B[3], e4_B[2])\n",
    "add_e4.cx(e4_B[2], e4_B[1])\n",
    "add_e4.cx(e4_B[1], e4_B[0])\n",
    "add_e4.x(e4_B[3])\n",
    "\n",
    "add_e4.append(adder_inst, qargs = list(e4_A) + list(e4_B) + list(e4_ci) + list(e4_C), cargs = [e4_cr])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a2f0bb44",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'01111': 2477, '01110': 2587, '00111': 2478, '01000': 2458}\n"
     ]
    }
   ],
   "source": [
    "counts4 = execute_circuit(add_e4)\n",
    "print(counts4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "6595897f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram(counts4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7c9412d8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}