example_integer_factorisation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "56f0b47e",
   "metadata": {},
   "source": [
    "# Example: Quantum Integer Factorization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23a58bc3",
   "metadata": {},
   "source": [
    "Identifying new methods for integer factorization plays an important role in modern information security. Shor’s algorithm is perhaps the most well-known method for integer factorization. An equally powerful model of quantum computing is the adiabatic quantum computing (AQC) model, which can also solve the integer factorization problem. In this example, we show how to convert an arbitrary integer factorization problem to an executable Ising model and tested it on the Dynex Neuromorphic Platform."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70cbba2a",
   "metadata": {},
   "source": [
    "##  Factoring as a Constraint Satisfaction Problem"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31937eaa",
   "metadata": {},
   "source": [
    "The complexity class for classical integer factoring is believed to be between P and NP-hard. Although research has yielded algorithms that perform faster than the intuitive trial division, including Fermat's algorithm, Pollard's two algorithms, and sieve algorithms, it's still an open question whether a classical algorithm exists that can factor in polynomial time. For quantum computing, Shor's algorithm runs in polynomial time (D-Wave quantum computers do not run this algorithm, nor does the Dynex Neuromorphic Platform yet).\n",
    "\n",
    "This notebook solves factoring on the Dynex Neuromorphic Platform by formulating it as a constraint satisfaction problem. CSPs require that all a problem's variables be assigned values that result in the satisfying of all constraints. For factoring, the problem's constraints are that the two variables representing factors, a and b, be assigned only natural numbers and that their multiplication be equal to the factored number, P."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a262a531",
   "metadata": {},
   "source": [
    "Among CSPs are hard problems well suited to solution on quantum computers. For example, the map-coloring problem is to color all regions of a map such that any two regions sharing a border have different colors. The job-shop scheduling problem is to schedule multiple jobs done on several machines with constraints on the machines' execution of tasks. You can apply the solution technique shown here to many CSPs."
   ]
  },
  {
   "attachments": {
    "21.jpg": {
     "image/jpeg": "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"
    }
   },
   "cell_type": "markdown",
   "id": "bc1e34d9",
   "metadata": {},
   "source": [
    "![21.jpg](attachment:21.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b2a16df",
   "metadata": {},
   "source": [
    "## Formulating the Problem for the Dynex Neuromorphic Platform "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04ebde11",
   "metadata": {},
   "source": [
    "How can you formulate the factoring problem in a way that a quantum / neuromorphic computer  can understand?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd1d1cb5",
   "metadata": {},
   "source": [
    "The Dynex platform solves binary quadratic models (BQM), the Ising model traditionally used in statistical mechanics and its computer-science equivalent, the quadratic unconstrained binary optimization (QUBO) problem. Given N variables x1,....,xn, where each variable xi can have binary values 0 or 1, the neuromorphic platform finds assignments of values that minimize the QUBO"
   ]
  },
  {
   "attachments": {
    "Screenshot%20from%202023-07-07%2011-52-30.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "48ab85f8",
   "metadata": {},
   "source": [
    "![Screenshot%20from%202023-07-07%2011-52-30.png](attachment:Screenshot%20from%202023-07-07%2011-52-30.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6cd8af55",
   "metadata": {},
   "source": [
    "where qi and qi,j are configurable (linear and quadratic) coefficients. To formulate a problem for the Dynex platform is to program qi and qi,j so that assignments of x1,....,xn also represent solutions to the problem."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea61c616",
   "metadata": {},
   "source": [
    "## Step 1: Express Factoring as Multiplication Circuit "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de9796f4",
   "metadata": {},
   "source": [
    "We start by expressing the problem with Boolean logic gates, in this case a multiplication circuit."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6f922ed",
   "metadata": {},
   "source": [
    "This example factors integer 196 which is represented as a 8-bit binary number. To express the factoring equation, \n",
    ", in Boolean logic, use a simple 4-bit multiplier (a circuit that takes two 4-bit binary numbers and outputs their 8-bit binary product)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e055840",
   "metadata": {},
   "source": [
    "Note: Binary multipliers are made with logic gates like the AND gate used above. Understanding the factoring example and its application to solving CSPs does not require an understanding of binary multiplication. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82d47370",
   "metadata": {},
   "source": [
    "We start by loading the Dynex SDK and the required libraries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0f9a8b92",
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import product\n",
    "import json\n",
    "import random \n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import networkx as nx\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4c52a895",
   "metadata": {},
   "outputs": [],
   "source": [
    "import dynex\n",
    "import dimod\n",
    "from dimod.generators import multiplication_circuit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b6050d3",
   "metadata": {},
   "source": [
    "Next we define the integer number we want to factor and convert it into its binary 8 bit representation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9b7c1ed4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "196  =  binary  11000100\n"
     ]
    }
   ],
   "source": [
    "P = 196 \n",
    "bP = \"{:8b}\".format(P);    \n",
    "print(P,' =  binary ',bP);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afc27c77",
   "metadata": {},
   "source": [
    "## Step 2: Convert to a BQM "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10257f1f",
   "metadata": {},
   "source": [
    "Express the multiplication circuit as a BQM that provides the coefficients used to program the problem on a the Dynex platform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0ef2c667",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BQM has 48 variables\n"
     ]
    }
   ],
   "source": [
    "bqm = multiplication_circuit(4);\n",
    "print(\"BQM has {} variables\".format(len(bqm.variables)));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf1ddb71",
   "metadata": {},
   "source": [
    "The Dynex Neuromorphic Platform factors this integer by running a multiplication circuit in reverse. Below, fix the variables of the multiplication circuit's BQM to the binary digits of the factored number P (represented by binary variables P0, P1...P6). This modifies the BQM by removing the known variables and updating neighboring values accordingly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "37a45ca4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fixing target variables: {'p7': 1, 'p6': 1, 'p5': 0, 'p4': 0, 'p3': 0, 'p2': 1, 'p1': 0, 'p0': 0} 196\n",
      "BQM has 40 non-fixed variables\n"
     ]
    }
   ],
   "source": [
    "p_vars = ['p0', 'p1', 'p2', 'p3', 'p4', 'p5', 'p6', 'p7']\n",
    "\n",
    "# Convert P from decimal to binary\n",
    "fixed_variables = dict(zip(reversed(p_vars), \"{:08b}\".format(P)))\n",
    "fixed_variables = {var: int(x) for(var, x) in fixed_variables.items()}\n",
    "print('Fixing target variables:',fixed_variables,P)\n",
    "\n",
    "# Fix product variables\n",
    "for var, value in fixed_variables.items():\n",
    "    bqm.fix_variable(var, value)\n",
    "    \n",
    "print(\"BQM has {} non-fixed variables\".format(len(bqm.variables)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cffb8ab5",
   "metadata": {},
   "source": [
    "## Step 3: Submit to the Dynex Neuromorphic Platform "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3d7e897",
   "metadata": {},
   "source": [
    "Lastly, solve the BQM by finding variable assignments that produce its lowest values. Here we use the Dynex Neuromorphic Platform:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "78feba00",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[DYNEX] MODEL CONVERTED TO QUBO\n",
      "[DYNEX] PRECISION SET TO 0.0001\n",
      "[DYNEX] QUBO: Constant offset of the binary quadratic model: 10.0\n",
      "[DYNEX] SAMPLER INITIALISED\n"
     ]
    }
   ],
   "source": [
    "dnxmodel = dynex.BQM(bqm, logging=True);\n",
    "dnxsampler = dynex.DynexSampler(dnxmodel, logging=True, mainnet=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "7dc08dac",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[DYNEX|TESTNET] *** WAITING FOR READS ***\n",
      "╭────────────┬───────────┬───────────────────────────┬─────────┬─────┬─────────┬───────┬─────┬──────────┬─────╮\n",
      "│ DYNEXJOB   │ ELAPSED   │ WORKERS                   │ CHIPS   │ ✔   │ STEPS   │ LOC   │ ✔   │ ENERGY   │ ✔   │\n",
      "├────────────┼───────────┼───────────────────────────┼─────────┼─────┼─────────┼───────┼─────┼──────────┼─────┤\n",
      "│            │           │ *** WAITING FOR READS *** │         │     │         │       │     │          │     │\n",
      "╰────────────┴───────────┴───────────────────────────┴─────────┴─────┴─────────┴───────┴─────┴──────────┴─────╯\n",
      "\n",
      "[DYNEX] FINISHED READ AFTER 0.00 SECONDS\n",
      "[DYNEX] SAMPLESET LOADED\n",
      "sample: Sample(sample={'a0': 0, 'a1': 1, 'a2': 1, 'a3': 1, 'and0,1': 0, 'and0,2': 0, 'and0,3': 1, 'and1,0': 0, 'and1,1': 1, 'and1,2': 1, 'and1,3': 1, 'and2,0': 0, 'and2,1': 1, 'and2,2': 1, 'and2,3': 1, 'and3,0': 0, 'and3,1': 1, 'and3,2': 1, 'and3,3': 1, 'b0': 0, 'b1': 1, 'b2': 1, 'b3': 1, 'carry1,0': 0, 'carry1,1': 0, 'carry1,2': 1, 'carry1,3': 1, 'carry2,0': 0, 'carry2,1': 0, 'carry2,2': 0, 'carry2,3': 1, 'carry3,0': 0, 'carry3,1': 1, 'carry3,2': 1, 'sum1,1': 1, 'sum1,2': 0, 'sum1,3': 0, 'sum2,1': 1, 'sum2,2': 1, 'sum2,3': 0}, energy=2.0, num_occurrences=1)\n",
      "energy: 2.0\n"
     ]
    }
   ],
   "source": [
    "# Dynex sampler:\n",
    "sampleset = dnxsampler.sample(num_reads=20000, annealing_time = 300, debugging=False, gamma=0.5, delta=0.5);\n",
    "print('sample:',sampleset.first);\n",
    "print('energy:',sampleset.lowest().record[0].energy);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e173af81",
   "metadata": {},
   "source": [
    "When the Dynex Platform solves a problem, it uses phenomena such as longe-range-order and instantonc behaviour to explore all possible solutions simultaneously and find a set of the best ones. Because the sampled solution is probabilistic, returned solutions may differ between runs. Typically, when submitting a problem to the Dynex platform, you ask for many samples, not just one. This way, you see multiple answers and reduce the probability of settling on a suboptimal answer."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df87ecdd",
   "metadata": {},
   "source": [
    "## Viewing the Solution "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fb0df2e",
   "metadata": {},
   "source": [
    "Convert back from binary numbers to integers. Because neuromorphic computing is probabilistic, there is a slight chance that in many executions of this example, your execution might return an incorrect solution if not run on enough Dynex chips. Rerunning the previous cell will most likely produce a correct answer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "6b8313c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_base_ten(sample):\n",
    "    a = b = 0\n",
    "    \n",
    "    # we know that multiplication_circuit() has created these variables\n",
    "    a_vars = ['a0', 'a1', 'a2','a3']\n",
    "    b_vars = ['b0', 'b1', 'b2','b3']\n",
    "    \n",
    "    for lbl in reversed(a_vars):\n",
    "        a = (a << 1) | int(sample[lbl])\n",
    "    for lbl in reversed(b_vars):\n",
    "        b = (b << 1) | int(sample[lbl])\n",
    "        \n",
    "    return a,b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "6f994710",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14 x 14 = 196\n"
     ]
    }
   ],
   "source": [
    "a, b = to_base_ten(dnxsampler.dimod_assignments.first.sample);\n",
    "print(a,'x',b,'=',a*b)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84501fae",
   "metadata": {},
   "source": [
    "As we can see, the Dynex platform correctly factored 196 into 14 and 14."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d87bb52c",
   "metadata": {},
   "source": [
    "References:\n",
    "[1] Jiang, S., Britt, K.A., McCaskey, A.J. et al. Quantum Annealing for Prime Factorization. Sci Rep 8, 17667 (2018). https://doi.org/10.1038/s41598-018-36058-z"
   ]
  }
 ],
 "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}