QUBO and quantum annealing workshop.ipynb

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    "![IITIS](pictures/logoIITISduze.png)"
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    "# Welcome to \"QUBO and quantum annealing\" workshop\n",
    "## part of \"Quantum Machine Learning Cooperative Study Group Meeting\"\n",
    "\n",
    "Welcome to our workshop on \"QUBO and quantum annealing\"! In this workshop, we will explore the fascinating world of quantum computing and its potential applications in solving complex optimization problems using the quadratic unconstrained binary optimization (QUBO) model. We will also delve into the concept of quantum annealing, a computational approach that takes advantage of the quantum nature of particles to efficiently search for the optimal solution of a given problem. Through interactive discussions and hands-on activities, we aim to provide participants with a fundamental understanding of QUBO and quantum annealing and its practical implications in various fields such as logistics, finance, and healthcare. Whether you are a quantum computing enthusiast or simply curious about this cutting-edge technology, we invite you to join us on this exciting journey!"
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    "## This workshop is financed from projects: \"Sonata Bis: Simulations of physical systems with near-term annealing technology\" and \"EuroHPC PL\" realised at Institute of Theoretical and Applied Informatics, Polish Academy of Sciences\n",
    "\n",
    "\n",
    "\n",
    "#### More about those projects later"
   ]
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    "# Little theory\n",
    "\n",
    "## What is QUBO\n",
    "\n",
    "Given its difficulty, **Quadratic unconstrained binary optimization (QUBO)** has a deceptively simple formulation. Given symmetric matrix $Q$, find binary vector $x^*$ such that:\n",
    "\n",
    "$$ x^* = \\arg \\min_x xQx^T = \\sum_i \\sum_j Q_{i,j} x_i x_j$$\n",
    "\n",
    "It is worth noting that for binary variables, $x^2 = x$. This allows us to divide QUBO into linear part on the diagonal and quadratic part:\n",
    "\n",
    "$$ xQx^T =  \\sum_i Q_{i,i} x_i + \\sum_{i \\neq j} Q_{i,j} x_i x_j$$\n",
    "\n",
    "Additionally, we can perceive this problem in the language of graph theory. Let $G$ be graph with labeled nodes ($h_i$) and labeled edges ($J_{i,j}$), then:\n",
    "\n",
    "$$ xQx^T = \\sum_{(i,j) \\in G(E)} J_{ij} x_i x_j + \\sum_{i \\in G(V)} h_{i} x_i $$\n",
    "\n",
    "## Why do we care\n",
    "\n",
    "QUBO problems can be used to model a wide range of real-world optimization problems, from logistics and scheduling to machine learning and finance. That's why there are many specialized machines for solving it (ex. Toshiba SB, GUROBI solver, Fujitsu solver, etc.)"
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    "#  Quantum Annealing\n",
    "\n",
    "Quantum annealing is a computational technique that uses quantum mechanics to solve optimization problems by manipulating the energy states of a physical system, such as the spin states of qubits, to find the lowest energy state corresponding to the optimal solution of the problem. \n",
    "\n",
    "The most widely used physical system to encode optimization problems is the Ising Model:\n",
    "\n",
    "$$ H_{\\text{Ising}}(s) = \\sum_{(i,j) \\in \\mathcal{G}} J_{ij} s_i s_j + \\sum_{i} h_{i} s_i, \\quad s_i \\in \\{-1, 1\\}$$\n",
    "\n",
    "It is very similar to QUBO!\n",
    "\n",
    "## Solving Ising model\n",
    "\n",
    "![picture](pictures/example.png)\n",
    "\n",
    "## How annealing works?\n",
    "\n",
    "We initialize the system in the ground state (lowest energy) of some quantum system and then slowly evolve it to the desired system:\n",
    "\n",
    "$$H(t) = A(t) H_X + B(t) H_{\\text{Ising}}$$\n",
    "$$H_X = \\sum_{i} \\sigma^{X}_i $$\n",
    "\n",
    "\n",
    "Don't worry. The underlying physic is not essential for this workshop! Nevertheless, it is worth knowing.\n",
    "\n",
    "# Dwave Quantum Processing Unit (QPU)\n",
    "\n",
    "While a classical bit can be only in one of its possible states (either $0$ or $1$), *quantum bit* can be in any position in-between (to simplify vastly!). \n",
    "\n",
    "Dwave Quantum Processing Unit (QPU) has a specific structure called *Topology*. This describes how qubits are connected to each other.\n",
    "\n",
    "A | B\n",
    "- | - \n",
    "![chimera](pictures/unit-cell.png) | ![pegasus](pictures/pegasus.png)\n",
    "\n",
    "Part A shows a single chimera unit cell. Part B shows a fragment of the pegasus graph.\n",
    "\n",
    "To solve an arbitrarily posed binary quadratic problem directly on a D-Wave system requires mapping, called minor embedding, to the QPU Topology of the system's quantum processing unit (QPU). This process creates so-called *logical qubits* which are made of several *physical qubits* connected by a *chain*. \n",
    "\n",
    "\n",
    "![Embedding](pictures/embedding.png)\n",
    "\n",
    "---\n",
    "**Don't worry if this all sounds difficult and abstract. All these concepts will be shown in this workshop! Instead of delving into more theory, lets get down to business!** \n",
    "\n",
    "---\n",
    "\n",
    "## First step -  create a free Dwave Leap account!\n",
    "[Click here](https://cloud.dwavesys.com/leap/login/?next=/leap/)\n",
    "\n",
    "There are two major ways to interact with Dwave quantum annealer. We can use a cloud IDE workspace or create a local environment."
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    "# How to use IDE workspace\n",
    "\n",
    "1. Create empty GitHub repository where you will store your work.\n",
    "    * **Important** Repository must be public, or you may simply grant gitpod acces to it.\n",
    "2. Now simply navigate to \"IDE workspace\" in your Leap frontpage.\n",
    "\n",
    "![IDE workspace](pictures/IDE_workspace1.png)\n",
    "\n",
    "3. There you simply click \"New Workspace\" and provide ling to previously created repository.\n"
   ]
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    "# How to setup local \n",
    "1. Create a local environment (conda, pyenv, ect.)\n",
    "2. Install Ocean SDK (software development kit)\n",
    "    > pip install dwave-ocean-sdk\n",
    "3. Run \n",
    "    > dwave setup\n",
    "    \n",
    "    * It will ask to install non-open-source tools. It is recommended to install `D-Wave Problem Inspector` and `D-Wave Drivers`\n",
    "    * Profile can be left with default settings\n",
    "    * **Imortant** Now you can enter autentication token. You can find it in your account page on Dwave Leap.\n",
    "    ![API token location](pictures/API_token.png)\n",
    "    \n",
    "4. Check if everything is working. Run\n",
    "    > dwave ping\n",
    "    \n",
    "## Now we are ready to go!"
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    "# Using Dwave Quantum Annealer\n",
    "\n",
    "## Lets start with simple example!"
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      "{'type': 'pegasus', 'shape': [16]}\n",
      "5760\n"
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    "# Start by importing relevan packages\n",
    "from dwave.system import DWaveSampler, AutoEmbeddingComposite\n",
    "import dwave.inspector\n",
    "\n",
    "import numpy as np\n",
    "import networkx as nx\n",
    "\n",
    "# Create sampler object\n",
    "sampler = DWaveSampler()\n",
    "\n",
    "print(sampler.properties['topology'])\n",
    "print(sampler.properties['num_qubits'])"
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    "# Define some simple example problem \n",
    "graph = nx.complete_graph(6)\n",
    "linear = {node: 0.5 for node in graph.nodes}\n",
    "quadratic = {edge: 1 for edge in graph.edges}\n",
    "\n",
    "# next, we must create solver which will automaticaly emmbed our problem to qpu graphs\n",
    "solver = AutoEmbeddingComposite(sampler)\n",
    "\n",
    "# Now we can perform annealing\n",
    "solution = solver.sample_ising(linear, quadratic)\n",
    "dwave.inspector.show(solution)"
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    "## Sampler/Solver settinings\n",
    "\n",
    "There are two important parameters that shoud be specified, so our solution is useful\n",
    "* `num_reads` specifies how many times we sample from quantum annealer (default $1$)\n",
    "* `annealing_time` how much time spend annealing each sample (in $\\mu s$ that is $10^{-6} s$)"
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      "20.0\n",
      "[1, 10000]\n"
     ]
    }
   ],
   "source": [
    "# lets see properties\n",
    "print(sampler.properties[\"default_annealing_time\"])\n",
    "print(sampler.properties[\"num_reads_range\"])"
   ]
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      "   0  1  2  3  4  5 energy num_oc. chain_.\n",
      "0 +1 +1 -1 -1 -1 +1   -3.0       1     0.0\n",
      "1 +1 -1 -1 -1 +1 +1   -3.0       1     0.0\n",
      "2 +1 -1 +1 -1 +1 -1   -3.0       1     0.0\n",
      "3 +1 +1 -1 -1 +1 -1   -3.0       1     0.0\n",
      "4 +1 -1 +1 +1 -1 -1   -3.0       1     0.0\n",
      "5 -1 +1 +1 +1 -1 -1   -3.0       2     0.0\n",
      "6 -1 +1 +1 -1 +1 -1   -3.0       2     0.0\n",
      "7 +1 +1 +1 -1 -1 -1   -3.0       1     0.0\n",
      "['SPIN', 8 rows, 10 samples, 6 variables]\n"
     ]
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   "source": [
    "# anneal with properties\n",
    "solution = solver.sample_ising(linear, quadratic, num_reads=10, annealing_time=50)\n",
    "print(solution)"
   ]
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    "## Max-Cut\n",
    "\n",
    "\n",
    "The Max Cut problem is one of the most famous problems in combinatorial optimization. Given\n",
    "an undirected graph $G(V, E)$ with a vertex set $V$ and an edge set $E$, the Max Cut problem seeks to\n",
    "partition $V$ into two sets such that the number of edges between the two sets (considered to be\n",
    "severed by the cut), is a large as possible.\n",
    "We can model this problem by introducing binary variables satisfying $𝑥_i = 1$ if vertex i is in one\n",
    "set and $𝑥_i = 0$ if it is in the other set. Viewing a cut as severing edges joining two sets, to leave\n",
    "endpoints of the edges in different vertex sets, the quantity $𝑥_i  + 𝑥_j − 2𝑥_i 𝑥_j$ identifies whether\n",
    "the edge $(𝑖, 𝑗)$ is in the cut.\n",
    "\n",
    "Thus, the problem of maximizing the number of edges in the cut can be formulated as:\n",
    "$$\\max \\sum_{(i,j) \\in G} (𝑥_i  + 𝑥_j − 2𝑥_i 𝑥_j) = \\min \\sum_{(i,j) \\in G} (-𝑥_i  - 𝑥_j + 2𝑥_i 𝑥_j) $$\n",
    "\n",
    "\n",
    "![example](pictures/cut_examples.png)"
   ]
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create problem graph\n",
    "rng = np.random.default_rng(seed=42)\n",
    "graph = nx.erdos_renyi_graph(n=15, p=0.6)\n",
    "nx.draw(graph, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "1a7a1a65",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "1afea2a7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 energy num_oc. chain_b.\n",
      "0   1  0  0  1  1  1  0  1  1  0  0  1  0  0  1  -41.0       1      0.0\n",
      "1   0  1  1  0  0  0  1  0  0  1  1  0  1  1  0  -41.0      48      0.0\n",
      "8   0  1  1  0  0  0  1  0  0  1  1  0  1  1  0  -41.0       1 0.066667\n",
      "2   0  1  0  1  1  1  1  0  1  1  0  1  0  0  0  -40.0       2      0.0\n",
      "3   1  0  1  0  0  1  0  1  0  0  1  0  0  1  1  -40.0       1      0.0\n",
      "4   0  1  0  1  1  0  1  0  1  1  0  1  1  0  0  -40.0       3      0.0\n",
      "5   0  1  1  0  0  0  0  0  0  1  1  0  1  1  1  -40.0       6      0.0\n",
      "6   0  1  1  0  0  0  1  0  0  1  1  0  1  1  1  -40.0       7      0.0\n",
      "7   0  1  1  0  0  0  1  0  0  1  0  0  1  1  1  -40.0      12      0.0\n",
      "20  0  1  1  0  0  0  1  0  0  1  1  0  1  1  1  -40.0       1 0.066667\n",
      "9   0  1  0  0  1  0  1  0  0  1  0  0  1  1  1  -39.0       1      0.0\n",
      "10  0  1  1  0  0  0  1  1  0  1  1  0  1  1  0  -39.0       2      0.0\n",
      "11  0  1  0  1  1  0  1  0  1  1  0  1  0  0  0  -39.0       1      0.0\n",
      "12  0  1  1  0  0  0  1  0  0  1  0  1  1  1  0  -39.0       1      0.0\n",
      "13  0  1  1  0  1  0  1  0  0  1  0  0  1  1  1  -39.0       1      0.0\n",
      "14  1  0  1  0  0  0  0  1  0  1  1  0  1  1  1  -39.0       1      0.0\n",
      "15  1  0  1  0  1  0  0  1  0  0  1  0  1  1  1  -39.0       1      0.0\n",
      "16  0  1  1  0  0  0  0  0  0  1  1  0  1  1  0  -39.0       1      0.0\n",
      "17  0  1  1  0  0  0  1  0  0  1  1  0  0  1  1  -39.0       1      0.0\n",
      "18  1  1  1  0  0  0  0  0  0  1  1  0  1  1  1  -39.0       1      0.0\n",
      "19  0  1  1  0  0  0  1  0  0  1  0  0  1  1  0  -39.0       1      0.0\n",
      "21  0  1  0  1  1  0  1  0  0  1  0  0  1  1  0  -38.0       1      0.0\n",
      "22  0  1  0  0  0  0  1  0  0  1  1  0  1  1  1  -38.0       1      0.0\n",
      "23  0  1  0  0  1  0  1  1  0  1  0  0  1  1  0  -38.0       1      0.0\n",
      "24  1  0  1  0  0  0  0  1  0  1  1  0  1  1  0  -38.0       1      0.0\n",
      "25  1  1  1  0  0  0  1  0  0  1  1  0  1  1  0  -38.0       1      0.0\n",
      "26  0  1  0  0  0  0  1  1  0  1  0  0  1  1  0  -37.0       1      0.0\n",
      "['BINARY', 27 rows, 100 samples, 15 variables]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We will build QUBO\n",
    "# Remember, both sample_ising() and sample_qubo() are expecting dictionaries\n",
    "# You can avoid this using BinaryQuadraticModel \n",
    "\n",
    "from collections import defaultdict\n",
    "\n",
    "Q = defaultdict(int)\n",
    "for i, j in graph.edges:\n",
    "    Q[(i,i)]+= -1\n",
    "    Q[(j,j)]+= -1\n",
    "    Q[(i,j)]+= 2\n",
    "    \n",
    "solution = solver.sample_qubo(Q, num_reads=10, annealing_time=10, label='Example - Maximum Cut')\n",
    "print(solution)\n",
    "\n",
    "best = solution.first.sample\n",
    "# Interpret best result in terms of nodes and edges\n",
    "S0 = [node for node in graph.nodes if not best[node]]\n",
    "S1 = [node for node in graph.nodes if best[node]]\n",
    "cut_edges = [(u, v) for u, v in graph.edges if best[u]!=best[v]]\n",
    "uncut_edges = [(u, v) for u, v in graph.edges if best[u]==best[v]]\n",
    "\n",
    "# Display best result\n",
    "nx.draw(graph, node_color=[\"r\" if i in S0 else \"c\" for i in list(graph.nodes)], with_labels=True, \n",
    "       edge_color=[\"black\" if e in uncut_edges else \"grey\" for e in list(graph.edges)])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29539dc9",
   "metadata": {},
   "source": [
    "## Real-life-like example - Portfolio Optimization\n",
    "\n",
    "Optimizing a portfolio of stocks is a challenging problem that looks to identify the optimal number of shares of each stock to purchase in order to minimize risk (variance) and maximize returns, while staying under some specified spending budget.\n",
    "\n",
    "Consider a set of $N$ types of stocks to choose from, with an average monthly return per dollar spent of $r_i$ for each stock $i$. Furthermore, let $\\sigma_{i,j}$ be the covariance of the returns of stocks $i$ and $j$. For a spending budget of $B$ dollars, let $x_i$ denote the number of shares of stock $i$ purchased at price $p_i$ per share. Then, this portfolio optimization problem can be represented as\n",
    "\n",
    "$$\n",
    "\\min \\alpha \\sum_{i=1}^N \\sum_{j=1}^N \\sigma_{i,j} p_i x_i p_j x_j - \\sum_{i=1}^N r_i p_i x_i \\\\\n",
    "\\text{s. t.} \\sum_{i=1}^N p_i x_i \\leq B\n",
    "$$\n",
    "\n",
    "Here, $\\alpha$ > 0 is the trade-off coefficient between the risk (variance) and the returns, also known as the risk aversion coefficient. Notice that while we are minimizing the variance, we are also minimizing the negative of the return (which is equivalent to maximizing the return).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "4bc5f26d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.10598613  0.92277153  0.41737538 -0.06631247 -0.32171314]\n",
      " [ 0.92277153  0.43552047  0.07311634 -0.05612191  0.76897557]\n",
      " [ 0.41737538  0.07311634  0.176516   -0.01854461 -0.20640328]\n",
      " [-0.06631247 -0.05612191 -0.01854461 -0.08290384 -0.44709746]\n",
      " [-0.32171314  0.76897557 -0.20640328 -0.44709746  0.99406932]]\n",
      "Constrained quadratic model: 5 variables, 1 constraints, 25 biases\n",
      "\n",
      "Objective\n",
      "  -3.1443998020426287*Integer('0') - 4.72834945874999*Integer('1') - 2.3645339606750664*Integer('2') - 5.6167647802544645*Integer('3') - 12.261313041565092*Integer('4') + 0.13248266313224982*Integer('0')*Integer('0') + 6.920786488220881*Integer('0')*Integer('1') + 4.899605310081978*Integer('1')*Integer('1') + 1.669501511602399*Integer('0')*Integer('2') + 0.8773960600674444*Integer('1')*Integer('2') + 0.5648511998030123*Integer('2')*Integer('2') - 0.09946871105056965*Integer('0')*Integer('3') - 0.2525486021398687*Integer('1')*Integer('3') - 0.044507062921107204*Integer('2')*Integer('3') - 0.037306726381304*Integer('3')*Integer('3') - 2.251991945536776*Integer('0')*Integer('4') + 16.148487068833074*Integer('1')*Integer('4') - 2.3117167212146703*Integer('2')*Integer('4') - 1.8778093401311844*Integer('3')*Integer('4') + 9.741879293616433*Integer('4')*Integer('4')\n",
      "\n",
      "Constraints\n",
      "  budget: 5*Integer('0') + 15*Integer('1') + 8*Integer('2') + 3*Integer('3') + 14*Integer('4') <= 100.0\n",
      "\n",
      "Bounds\n",
      "  0.0 <= Integer('0') <= 20.0\n",
      "  0.0 <= Integer('1') <= 6.0\n",
      "  0.0 <= Integer('2') <= 12.0\n",
      "  0.0 <= Integer('3') <= 33.0\n",
      "  0.0 <= Integer('4') <= 7.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from dimod import Integer, Binary, quicksum, ConstrainedQuadraticModel\n",
    "from itertools import product\n",
    "\n",
    "num_of_stocks = 5\n",
    "budget = 100\n",
    "alpha = 0.05\n",
    "stocks = [f\"{i}\" for i in range(num_of_stocks)]\n",
    "avg_return = {s: rng.uniform(0,2) for s in stocks}\n",
    "price = {s: rng.integers(1, 20) for s in stocks}\n",
    "cov = rng.uniform(-1,1,size=(num_of_stocks,num_of_stocks))\n",
    "cov = (cov + cov.T)/2 # symetric matrix\n",
    "\n",
    "\n",
    "# construct CQM\n",
    "cqm = ConstrainedQuadraticModel()\n",
    "x = {s: Integer(f\"{s}\", lower_bound=0, \n",
    "                upper_bound=int(budget/price[s])) for s in stocks} # here we are adding variables to the model\n",
    "                \n",
    "cqm.add_constraint(sum([x[s]*price[s] for s in stocks]) <= budget, label='budget')\n",
    "                \n",
    "# Defining risk expression \n",
    "risk = 0\n",
    "for s1, s2 in product(stocks, repeat=2):\n",
    "    coeff = (cov[stocks.index(s1)][stocks.index(s2)] * price[s1] * price[s2])\n",
    "    risk = risk + coeff*x[s1]*x[s2]\n",
    "\n",
    "# Defining the returns expression \n",
    "returns = 0\n",
    "for s in stocks: \n",
    "    returns = returns + price[s] * avg_return[s] * x[s]     \n",
    "cqm.set_objective(alpha*risk - returns)\n",
    "print(cqm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "e869d1b5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      0   1   2    3   4      energy num_oc. is_sat. is_fea.\n",
      "8   0.0 0.0 0.0 29.0 1.0  -251.23704       1 arra...   False\n",
      "101 0.0 0.0 0.0 29.0 1.0  -251.23704       1 arra...   False\n",
      "102 0.0 0.0 0.0 29.0 1.0  -251.23704       1 arra...   False\n",
      "103 0.0 0.0 0.0 29.0 1.0  -251.23704       1 arra...   False\n",
      "0   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "1   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "2   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "3   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "4   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "5   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "6   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "7   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "9   0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "10  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "11  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "12  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "13  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "15  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "16  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "17  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "18  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "19  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "20  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "21  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "22  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "23  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "24  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "25  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "26  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "27  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "28  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "29  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "30  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "31  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "32  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "33  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "34  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "35  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "36  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "37  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "38  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "39  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "40  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "41  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "42  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "43  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "44  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "45  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "46  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "47  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "48  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "49  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "50  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "51  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "52  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "53  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "54  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "55  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "56  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "57  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "58  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "59  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "60  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "61  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "62  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "63  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "64  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "65  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "66  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "67  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "68  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "69  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "70  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "71  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "72  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "73  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "74  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "75  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "76  0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "104 0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "105 0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "106 0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "107 0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "108 0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "109 0.0 0.0 0.0 28.0 1.0 -241.615983       1 arra...    True\n",
      "77  0.0 0.0 0.0 27.0 1.0 -232.069539       1 arra...    True\n",
      "78  0.0 0.0 0.0 24.0 2.0 -231.980986       1 arra...    True\n",
      "79  0.0 0.0 0.0 24.0 2.0 -231.980986       1 arra...    True\n",
      "80  0.0 0.0 0.0 24.0 2.0 -231.980986       1 arra...    True\n",
      "81  0.0 0.0 0.0 24.0 2.0 -231.980986       1 arra...    True\n",
      "82  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "83  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "84  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "85  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "86  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "87  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "88  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "89  1.0 0.0 0.0 22.0 2.0 -219.508213       1 arra...    True\n",
      "90  4.0 0.0 0.0 22.0 1.0 -213.675611       1 arra...    True\n",
      "91  4.0 0.0 0.0 22.0 1.0 -213.675611       1 arra...    True\n",
      "92  4.0 0.0 0.0 21.0 1.0 -204.178973       1 arra...    True\n",
      "93  4.0 0.0 0.0 21.0 1.0 -204.178973       1 arra...    True\n",
      "94  3.0 0.0 0.0 28.0 0.0 -203.114114       1 arra...    True\n",
      "95  4.0 0.0 0.0 17.0 2.0 -190.904956       1 arra...    True\n",
      "96  4.0 0.0 0.0 17.0 2.0 -190.904956       1 arra...    True\n",
      "97  7.0 0.0 0.0 12.0 2.0 -158.798286       1 arra...    True\n",
      "111 7.0 0.0 0.0 12.0 2.0 -158.798286       1 arra...    True\n",
      "98  8.0 0.0 0.0 10.0 2.0 -143.675292       1 arra...    True\n",
      "110 8.0 0.0 0.0 10.0 2.0 -143.675292       1 arra...    True\n",
      "99  9.0 0.0 0.0  9.0 2.0 -139.089728       1 arra...    True\n",
      "100 9.0 0.0 0.0  9.0 2.0 -139.089728       1 arra...    True\n",
      "14  0.0 0.0 0.0 12.0 1.0  -97.826492       1 arra...    True\n",
      "['INTEGER', 112 rows, 112 samples, 5 variables]\n"
     ]
    }
   ],
   "source": [
    "from dwave.system import LeapHybridCQMSampler\n",
    "hybrid = LeapHybridCQMSampler()\n",
    "\n",
    "solution = hybrid.sample_cqm(cqm)\n",
    "print(solution)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4504ee4",
   "metadata": {},
   "source": [
    "# Projects at IITIS\n",
    "\n",
    "\n",
    "1. Sonata Bis: Simulations of physical systems with near-term annealing technology\n",
    "    * Simulations of DWaves qpu using tensor networks \n",
    "    * Machine Learning for error correction in quantum annealers\n",
    "2. EuroHPC PL\n",
    "    * Omnisolver - offload all technical details into this program\n",
    "    * Omniqubo - automatically create QUBO for a given problem"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8c16fe3",
   "metadata": {},
   "source": [
    " # Tips and Tricks\n",
    "1. It is worth experimenting with different values of parameters. Sometimes more is not better!\n",
    "2. One can also manipulate the annealing schedule. Among other things, research has shown that introducing pauses can improve results.\n",
    "3. Hybrid solver can solve many problems and is worth trying!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2682db7",
   "metadata": {},
   "source": [
    "# Further reading\n",
    "1. [Quantum Bridge Analytics I: A Tutorial on Formulating and Using QUBO Models](https://arxiv.org/ftp/arxiv/papers/1811/1811.11538.pdf). Fred Glover, Gary Kochenberger and Yu Du. 2019\n",
    "2. [Example code and notebooks](https://github.com/dwave-examples)\n",
    "3. Quantum Spin Glasses, Annealing and Computation.  Shu Tanaka, Ryo Tamura and Bikas K. Chakrabarti. 2017\n",
    "4. Research articles!"
   ]
  }
 ],
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