Quantum_Steganography.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from qiskit.visualization import plot_histogram\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create the quantum circuit for the BB84_keys: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating registers with n qubits\n",
    "n =7  # for a local backend n can go as up as 23, after that it raises a Memory Error\n",
    "qr = QuantumRegister(n, name='qr')\n",
    "cr = ClassicalRegister(n, name='cr')\n",
    "\n",
    "qc = QuantumCircuit(qr, cr, name='QC')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## QRNG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    " \n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"\\nqr2 = QuantumRegister(n, name='qr')\\ncr2= ClassicalRegister(n, name='cr')\\nqc2 = QuantumCircuit(qr2, cr2, name='QC')\\nfor i in range(n):\\n    qc2.h(i)\\n    qc2.measure(qr2,cr2)\\nqc2.draw(output='mpl')\\nsimulator = Aer.get_backend('qasm_simulator')\\nexecute(qc2, backend = simulator)\\nresult = execute(qc2, backend = simulator).result()\\nk=list(result.get_counts(qc2))[0]\\nprint(k)\\n\""
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "qr2 = QuantumRegister(n, name='qr')\n",
    "cr2= ClassicalRegister(n, name='cr')\n",
    "qc2 = QuantumCircuit(qr2, cr2, name='QC')\n",
    "for i in range(n):\n",
    "    qc2.h(i)\n",
    "    qc2.measure(qr2,cr2)\n",
    "qc2.draw(output='mpl')\n",
    "simulator = Aer.get_backend('qasm_simulator')\n",
    "execute(qc2, backend = simulator)\n",
    "result = execute(qc2, backend = simulator).result()\n",
    "k=list(result.get_counts(qc2))[0]\n",
    "print(k)\n",
    "\"\"\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# BB84 Protocol :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# Generate a random number in the range of available qubits [0,65536))\n",
    "alice_key = np.random.randint(0,2**n)#here we can remplace by a key from a quantum key generator\n",
    "\n",
    "\n",
    "alice_key = np.binary_repr(alice_key,n) \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0011011\n"
     ]
    }
   ],
   "source": [
    "print(alice_key)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(alice_key)):\n",
    " if alice_key[i]=='1':\n",
    "    qc.x(qr[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choose random basis (Sender) :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Alice Basis ['H', 'S', 'S', 'S', 'S', 'S', 'S']\n"
     ]
    },
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       "<Figure size 309.428x505.68 with 1 Axes>"
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     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B=[]\n",
    "for i in range(len(alice_key)):\n",
    "\n",
    " if 0.5 < np.random.random():\n",
    "    qc.h(qr[i])\n",
    "    B.append(\"H\")\n",
    " else:\n",
    "    B.append(\"S\")\n",
    "    pass\n",
    "    \n",
    "qc.barrier()  \n",
    "print(\"Alice Basis\",B)\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Choose random basis (Receiver) :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bob Basis ['S', 'H', 'S', 'H', 'S', 'H', 'S']\n"
     ]
    },
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       "<Figure size 851.228x505.68 with 1 Axes>"
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     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C=[]\n",
    "for i in range(len(alice_key)):\n",
    " if 0.5 < np.random.random():\n",
    "    qc.h(qr[i])\n",
    "    C.append(\"H\")\n",
    "    \n",
    " else:\n",
    "    C.append(\"S\")\n",
    "qc.barrier()\n",
    "for i in range(len(alice_key)):\n",
    " qc.measure(qr[i],cr[i])\n",
    "print(\"Bob Basis\",C)\n",
    "qc.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bob key : 1000100\n",
      "Bob Basis ['S', 'H', 'S', 'H', 'S', 'H', 'S']\n",
      "Alice key : 0011011\n",
      "Alice Basis : ['H', 'S', 'S', 'S', 'S', 'S', 'S']\n"
     ]
    }
   ],
   "source": [
    "simulator = Aer.get_backend('qasm_simulator')\n",
    "execute(qc, backend = simulator)\n",
    "result = execute(qc, backend = simulator).result()\n",
    "print(\"Bob key :\",list(result.get_counts(qc))[0])\n",
    "print(\"Bob Basis\",C)\n",
    "\n",
    "print(\"Alice key :\",alice_key)\n",
    "print(\"Alice Basis :\",B)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sifting the key"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sifted key 101\n",
      "Basis [2, 4, 6]\n"
     ]
    }
   ],
   "source": [
    "def sifted_key(A_basis,B_basis,key): \n",
    " correct_basis=[]\n",
    " sifted_key=''\n",
    "\n",
    " for i in range(len(A_basis)):\n",
    "  if A_basis[i]==B_basis[i]:\n",
    "    correct_basis.append(i)\n",
    "    sifted_key+=key[i]\n",
    "  else:\n",
    "    pass \n",
    " return sifted_key,correct_basis\n",
    "a=sifted_key(B,C,alice_key)\n",
    "print(\"sifted key\",a[0])\n",
    "print(\"Basis\",a[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "BB84_key=a[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Encoding the Secret Message into the QC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "def wordToBV(s) :\n",
    "    #convert text to binary\n",
    "    a_byte_array = bytearray(s, \"utf8\")\n",
    "    byte_list = []\n",
    "\n",
    "\n",
    "    for byte in a_byte_array:\n",
    "        binary_representation = bin(byte)\n",
    "        byte_list.append(binary_representation[9-n:])\n",
    "        #chop off the \"0b\" at the beginning. can also truncate the binary to fit on a device with N qubits\n",
    "        #binary has 2 extra digits for \"0b\", so it starts at 9 for our 7 bit operation. \n",
    "\n",
    "    print(byte_list)\n",
    "    \n",
    "    circuit_array = []\n",
    "    \n",
    "    length = len(byte_list) \n",
    "    \n",
    "    for i in range(length):\n",
    "    \n",
    "        s = byte_list[i]\n",
    "\n",
    "\n",
    "        #do all  this stuff for every letter\n",
    "\n",
    "        # We need a circuit with n qubits, plus one ancilla qubit\n",
    "        # Also need n classical bits to write the output to\n",
    "        bv_circuit = QuantumCircuit(n+1, n)\n",
    "\n",
    "        # put ancilla in state |->\n",
    "        bv_circuit.h(n)\n",
    "        bv_circuit.z(n)\n",
    "\n",
    "        # Apply Hadamard gates before querying the oracle\n",
    "        for i in range(n):\n",
    "            bv_circuit.h(i)\n",
    "\n",
    "        # Apply barrier \n",
    "        bv_circuit.barrier()\n",
    "\n",
    "        # Apply the inner-product oracle\n",
    "        s = s[::-1] # reverse s to fit qiskit's qubit ordering\n",
    "        for q in range(n):\n",
    "            if s[q] == '0':\n",
    "                bv_circuit.i(q)\n",
    "            else:\n",
    "                bv_circuit.cx(q, n)\n",
    "\n",
    "        # Apply barrier \n",
    "        bv_circuit.barrier()\n",
    "\n",
    "        #Apply Hadamard gates after querying the oracle\n",
    "        for i in range(n):\n",
    "            bv_circuit.h(i)\n",
    "\n",
    "        # Measurement\n",
    "        for i in range(n):\n",
    "            bv_circuit.measure(i, i)\n",
    "            \n",
    "        circuit_array.append(bv_circuit)\n",
    "\n",
    "    \n",
    "    return circuit_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['1010001', '1101001', '1110011', '1101011', '1101001', '1110100']\n"
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     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "circuit_to_run = wordToBV('Qiskit')#Secret Msg\n",
    "circuit_to_run[0].draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
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       "     <use xlink:href=\"#DejaVuSans-48\"/>\r\n",
       "    </g>\r\n",
       "   </g>\r\n",
       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p0d8ae65228\">\r\n",
       "   <rect height=\"271.8\" width=\"390.6\" x=\"62.92125\" y=\"7.2\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backend = BasicAer.get_backend('qasm_simulator')\n",
    "shots = 4096\n",
    "results = execute(circuit_to_run[::-1], backend=backend, shots=shots).result()\n",
    "answer = results.get_counts()\n",
    "\n",
    "plot_histogram(answer)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Steganographic encoder/decoder :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "\n",
    "def encrypt(BB84_key, letter):\n",
    "    \"\"\"Calculates XOR\"\"\"\n",
    "    b = int(BB84_key, 2)\n",
    "    x = ord(letter)\n",
    "    return format(b ^ x, \"b\")\n",
    "\n",
    "\n",
    "def stega_encoder(LM, carrier_msg):\n",
    "    \"\"\"Encodes LM bits message into carrier_msg\"\"\"\n",
    "    message = \"\"\n",
    "    size = len(LM[0])\n",
    "    i = 0\n",
    "    for j, bitstring in enumerate(LM):\n",
    "        for k, digit in enumerate(bitstring):\n",
    "            while (not carrier_msg[i].isalpha()):\n",
    "                message += carrier_msg[i]\n",
    "                i += 1\n",
    "\n",
    "            if digit == \"1\":\n",
    "                letter = carrier_msg[i].upper()\n",
    "                message += letter\n",
    "            else:\n",
    "                message += carrier_msg[i]\n",
    "\n",
    "            i += 1\n",
    "    \n",
    "    if i < len(carrier_msg):\n",
    "        message += carrier_msg[i:]\n",
    "\n",
    "    return message\n",
    "\n",
    "\n",
    "def stega_decoder(new_carrier_msg, BB84_key):\n",
    "    \"\"\"Decodes secret message from new_carrier_msg\"\"\"\n",
    "\n",
    "    b = int(BB84_key, 2)\n",
    "\n",
    "    message = \"\"\n",
    "    bitstring = \"\"\n",
    "    for char in new_carrier_msg:\n",
    "        if char.isalpha():\n",
    "            if char.isupper():\n",
    "                bitstring += \"1\"\n",
    "            else:\n",
    "                bitstring += \"0\"\n",
    "\n",
    "        if len(bitstring) == 7:\n",
    "            x = int(bitstring, 2)\n",
    "            message += chr(b ^ x)\n",
    "            bitstring = \"\"\n",
    "\n",
    "    return message"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1110100'"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "encrypt(BB84_key,'q')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "secret_msg='q'\n",
    "L=[]\n",
    "for c in secret_msg:\n",
    "    L.append(encrypt(BB84_key,c))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "carrier_msg='aaaaaaa'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_carrier_msg=stega_encoder(L, carrier_msg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'q'"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stega_decoder(new_carrier_msg, BB84_key)"
   ]
  }
 ],
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