{ "cells": [ { "cell_type": "markdown", "id": "dc0db886", "metadata": {}, "source": [ "# Quantum Approximation Optimization Algorithm (QAOA) for Not-all-equal 3-satisfiability (NAE3SAT)" ] }, { "cell_type": "markdown", "id": "aecf6615", "metadata": {}, "source": [ "## Overview" ] }, { "cell_type": "markdown", "id": "b533d43e", "metadata": {}, "source": [ "Quantum Approximation Optimization Algorithm (QAOA) is a hybrid classical-quantum algorithm used for solving the combinatorial optimization problem, which is proposed by [Farhi, Goldstone, and Gutmann (2014)](https://arxiv.org/abs/1411.4028). In QAOA, the parameterized quantum circuit is regarded as an oracle, we sample the circuit to obtain the gradient of the parameters, and update them through the classical optimizer. Before this tutorial, there was already a tutorial of [QAOA for Max-Cut](qaoa.ipynb). In this tutorial, we will focus on another combinatorial optimization problem - Not-all-equal 3-satisfiability (NAE3SAT), and discuss the performance of QAOA in different hardness cases." ] }, { "cell_type": "markdown", "id": "16ad937f", "metadata": {}, "source": [ "## Not-all-equal 3-satisfiability (NAE3SAT)" ] }, { "cell_type": "markdown", "id": "c2321b00", "metadata": {}, "source": [ "[Not-all-equal 3-satisfiability (NAE3SAT)](https://en.wikipedia.org/wiki/Not-all-equal_3-satisfiability) is a variant of 3-satisfiability (3-SAT) and 3-SAT is a subset of [Boolean satisfiability problem (SAT)](https://en.wikipedia.org/wiki/Boolean_satisfiability_problem). SAT is, given a Boolean expression, to check whether it is satisfiable, where the Boolean expression is a disjunction of clauses (or a single clause) and each clause is a disjunction of literals (or a single literal). Here is an example of Boolean expression of SAT,\n", "$$\n", "(x_1\\lor x_2\\lor\\cdots\\lor x_m)\\land(\\lnot x_5\\lor x_9\\lor\\cdots\\lor x_m)\\land\\cdots\\land(x_m\\lor \\lnot x_{m+3}\\lor\\cdots\\lor \\lnot x_n),\n", "$$\n", "where $(x_i\\lor x_j\\lor\\cdots\\lor x_k)$ is a clause and $x_i$ is a literal. SAT with $k$ literals in each clause is called $k$-SAT, thus in 3-SAT, there are only three literals in each clause, for example\n", "$$\n", "(x_1\\lor x_2\\lor x_m)\\land(\\lnot x_5\\lor x_9\\lor x_m)\\land\\cdots\\land(x_m\\lor \\lnot x_{m+3}\\lor \\lnot x_n).\n", "$$\n", "When $k$ is not less than 3, SAT is NP-complete. On the other hand, NAE3SAT requires the three literals in each clause are not all equal to each other, in other words, at least one is true, and at least one is false. It is different from 3-SAT, which requires at least one literal is true in each clause. However, NAE3SAT is still NP-complete, [which can be proven by a reduction from 3-SAT](https://en.wikipedia.org/wiki/Not-all-equal_3-satisfiability)." ] }, { "cell_type": "markdown", "id": "4d28f719", "metadata": {}, "source": [ "Now we use the spin model to represent a NAE3SAT. Let the set of clauses in the NAE3SAT be $\\mathcal{C}$. In each clause, there are three literals and each literal is represented by a spin. Spins up ($s=1$, $\\text{bit}=0$) and down ($s=-1$, $\\text{bit}=1$) represent false and true respectively. For the clause $(s_i,\\ s_j,\\ s_k)\\in\\mathcal{C}$, $s_i,\\ s_j,\\ s_k$ cannot be 1 or -1 at the same time. The Hamiltonian of the NAE3SAT is as follows\n", "$$\n", "\\begin{split}\n", " \\hat{H}_C&=\\sum_{(i,j,k)\\in\\mathcal{C}}\\left[(s_i+s_j+s_k)^2-1\\right]/2\\\\\n", " &=\\sum_{(i,j,k)\\in\\mathcal{C}}(s_i s_j+s_j s_k+s_k s_i)+|\\mathcal{C}|,\n", "\\end{split}\n", "$$\n", "where $|\\mathcal{C}|$ is the number of clauses in $\\mathcal{C}$. When all clauses are true, $\\hat{H}_C$ takes the minimum value 0, and the corresponding bit string is the solution of the NAE3SAT." ] }, { "cell_type": "markdown", "id": "871bff2e", "metadata": {}, "source": [ "## QAOA for NAE3SAT" ] }, { "cell_type": "markdown", "id": "598dc69e", "metadata": {}, "source": [ "QAOA utilizes a parameterized quantum circuit ([PQC](https://tensorcircuit.readthedocs.io/en/latest/textbook/chap5.html?highlight=变分)) to generate a quantum state that represents a potential solution. The initial state, denoted as $|s\\rangle$, is a uniform superposition over computational basis states.\n", "$$\n", "|s\\rangle=\\frac{1}{\\sqrt{2^n}}\\sum_z|z\\rangle\n", "$$\n", "This state is then evolved by a unitary operator that consists of $p$ layers, denoted as\n", "$$\n", "U(\\boldsymbol{\\beta}, \\boldsymbol{\\gamma}) = V_{p}U_{p} \\cdots V_{1}U_{1},\n", "$$\n", "where $U_{j}= e^{-\\text{i}\\gamma_{j}\\hat{H}_{C}}$ is the driving layer and $V_{j}= e^{-\\text{i}\\beta_{j} \\hat{H}_m}$ is the mixing layer. $\\hat{H}_C$ is the driving and cost Hamiltonian introduced in previous section and the mixing Hamiltonian $\\hat{H}_m=\\sum_{j=1}^{n}\\sigma_j^x$ is used to mix the quantum state to explore different solutions. The unitary operator is parameterized by $2p$ angle parameters $\\gamma_1, \\gamma_2, \\dots, \\gamma_p$ and $\\beta_1, \\beta_2, \\dots ,\\beta_p$ and each $\\gamma$ and $\\beta$ are restricted to lie between $0$ and $2\\pi$." ] }, { "cell_type": "markdown", "id": "949be36e", "metadata": {}, "source": [ "Begin with a set of initial $\\boldsymbol{\\gamma}$ and $\\boldsymbol{\\beta}$, the quantum state is obtained from the PQC and then the expectation value of $\\hat{H}_C$ is calculated. A classical optimizer is then used to vary the parameters until a lower expectation value is found. This process is iterated a certain number of times until the expectation value of $\\hat{H}_C$ is approximated to 0. Then we perform projective measurement on the quantum state output by PQC, and obtain a bit string, which is very likely to be the solution of NAE3SAT. Since NAE3SAT is an NP-complete problem, we can verify whether the solution is correct in polynomial time on classical computer. Even if this bit string is not the correct solution, we can repeat the projective measurement and verify the obtained solution until we get the correct solution.\n", "\n", "For other details of QAOA, such as the selection of $p$ and the overall algorithm loop, please refer to [Farhi, Goldstone, and Gutmann (2014)](https://arxiv.org/abs/1411.4028) or the tutorial of [QAOA for Max-Cut](qaoa.ipynb)." ] }, { "cell_type": "markdown", "id": "940fa22b", "metadata": {}, "source": [ "### Setup" ] }, { "cell_type": "code", "execution_count": 5, "id": "b0def04d", "metadata": { "ExecuteTime": { "end_time": "2023-07-03T11:21:55.043565200Z", "start_time": "2023-07-03T11:21:54.946406500Z" } }, "outputs": [], "source": [ "import tensorcircuit as tc\n", "import optax\n", "import tensorflow as tf\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from IPython.display import clear_output\n", "import random\n", "\n", "K = tc.set_backend(\"jax\")\n", "\n", "nlayers = 30 # the number of layers\n", "ncircuits = 6 # six circuits with different initial parameters are going to be optimized at the same time" ] }, { "cell_type": "markdown", "id": "6e407437", "metadata": {}, "source": [ "### Define the Graph" ] }, { "cell_type": "markdown", "id": "c82972a4", "metadata": {}, "source": [ "The graph of NAE3SAT is constructed by the set $\\mathcal{C}$ of clauses. When a clause is violated, the energy will increase by 4, so the upper bound of $\\hat{H}_C$ will not exceed $4|\\mathcal{C}|$. In practice, we multiply $\\hat{H}_C$ by a normalization factor $1/(4|\\mathcal{C}|)$." ] }, { "cell_type": "code", "execution_count": 6, "id": "f1532831", "metadata": { "ExecuteTime": { "end_time": "2023-07-03T11:21:55.148550800Z", "start_time": "2023-07-03T11:21:54.965499300Z" } }, "outputs": [ { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# an easy graph instance\n", "easy_clauses = [\n", " [4, 7, 6],\n", " [0, 5, 9],\n", " [2, 6, 9],\n", " [2, 6, 7],\n", " [3, 1, 9],\n", " [5, 9, 11],\n", " [4, 8, 9],\n", " [5, 1, 9],\n", " [3, 8, 6],\n", " [2, 8, 10],\n", " [5, 6, 8],\n", " [2, 9, 6],\n", " [2, 6, 8],\n", " [5, 3, 9],\n", " [4, 11, 7],\n", " [3, 11, 10],\n", " [5, 10, 7],\n", " [3, 9, 8],\n", " [3, 6, 9],\n", " [2, 4, 7],\n", " [4, 0, 6],\n", " [3, 4, 6],\n", " [3, 11, 6],\n", " [4, 5, 6],\n", " [4, 0, 10],\n", " [5, 4, 10],\n", " [3, 7, 9],\n", " [0, 11, 6],\n", " [5, 11, 9],\n", " [3, 5, 9],\n", " [3, 4, 7],\n", " [3, 4, 7],\n", " [3, 0, 7],\n", " [1, 7, 8],\n", " [0, 3, 10],\n", " [0, 8, 9],\n", " [5, 7, 8],\n", " [2, 9, 6],\n", " [0, 8, 6],\n", " [4, 6, 8],\n", " [3, 2, 9],\n", " [4, 3, 8],\n", " [0, 2, 8],\n", " [4, 5, 10],\n", " [2, 4, 8],\n", " [5, 8, 9],\n", " [4, 8, 9],\n", " [3, 5, 11],\n", " [5, 4, 10],\n", " [2, 7, 9],\n", " [3, 0, 7],\n", " [2, 8, 6],\n", " [5, 3, 6],\n", " [0, 6, 10],\n", " [3, 2, 8],\n", " [4, 6, 9],\n", " [3, 2, 6],\n", " [1, 5, 6],\n", " [2, 8, 11],\n", " [2, 10, 8],\n", " [2, 0, 6],\n", " [2, 6, 9],\n", " [0, 8, 7],\n", " [0, 10, 8],\n", " [3, 5, 7],\n", " [2, 10, 8],\n", " [5, 7, 9],\n", " [0, 1, 6],\n", " [0, 3, 8],\n", " [0, 6, 9],\n", " [0, 5, 11],\n", " [1, 2, 10],\n", "]\n", "factor = 1 / len(easy_clauses) / 4\n", "\n", "# convert to a NetworkX graph\n", "easy_graph = nx.Graph()\n", "for i, j, k in easy_clauses:\n", " easy_graph.add_edge(i, j, weight=0)\n", " easy_graph.add_edge(j, k, weight=0)\n", " easy_graph.add_edge(k, i, weight=0)\n", "for i, j, k in easy_clauses:\n", " easy_graph[i][j][\"weight\"] += 1\n", " easy_graph[j][k][\"weight\"] += 1\n", " easy_graph[k][i][\"weight\"] += 1\n", "pos_easy = nx.spring_layout(easy_graph)\n", "nx.draw_networkx(easy_graph, with_labels=True, pos=pos_easy)\n", "ax = plt.gca()\n", "ax.set_facecolor(\"w\")" ] }, { "cell_type": "markdown", "id": "c944f6dd", "metadata": {}, "source": [ "### Parameterized Quantum Circuit (PQC)" ] }, { "cell_type": "code", "execution_count": 7, "id": "055d1257", "metadata": { "ExecuteTime": { "end_time": "2023-07-03T11:21:55.167476700Z", "start_time": "2023-07-03T11:21:55.166422100Z" } }, "outputs": [], "source": [ "def QAOAansatz(params, g, each=1, return_circuit=False):\n", " n = g.number_of_nodes() # the number of nodes\n", "\n", " # PQC loop\n", " def pqc_loop(s_, params_):\n", " c_ = tc.Circuit(n, inputs=s_)\n", " for j in range(each):\n", " # driving layer\n", " for a, b in g.edges:\n", " c_.RZZ(a, b, theta=g[a][b][\"weight\"] * params_[2 * j] * factor)\n", " # mixing layer\n", " for i in range(n):\n", " c_.RX(i, theta=params_[2 * j + 1])\n", " s_ = c_.state()\n", " return s_\n", "\n", " c0 = tc.Circuit(n)\n", " for i in range(n):\n", " c0.H(i)\n", " s0 = c0.state()\n", " s = K.scan(pqc_loop, K.reshape(params, [nlayers // each, 2 * each]), s0)\n", " c = tc.Circuit(n, inputs=s)\n", "\n", " # whether to return the circuit\n", " if return_circuit is True:\n", " return c\n", "\n", " # calculate the loss function\n", " loss = 0.25\n", " for a, b in g.edges:\n", " loss += c.expectation_ps(z=[a, b]) * g[a][b][\"weight\"] * factor\n", "\n", " return K.real(loss)" ] }, { "cell_type": "markdown", "id": "5b159920", "metadata": {}, "source": [ "### Optimization" ] }, { "cell_type": "markdown", "id": "6d07ee61", "metadata": {}, "source": [ "Here, several circuits with different initial parameters are optimized/trained at the same time.\n", "\n", "Optimizers are used to find the minimum value." ] }, { "cell_type": "code", "execution_count": 8, "id": "690b8b67", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# use vvag to get the losses and gradients with different random circuit instances\n", "QAOA_vvag = K.jit(\n", " K.vvag(QAOAansatz, argnums=0, vectorized_argnums=0), static_argnums=(1, 2, 3)\n", ")\n", "\n", "params_easy = K.implicit_randn(\n", " shape=[ncircuits, 2 * nlayers], stddev=0.1\n", ") # initial parameters\n", "if type(K).__name__ == \"JaxBackend\":\n", " opt = K.optimizer(optax.adam(1e-2))\n", "else:\n", " opt = K.optimizer(tf.keras.optimizers.Adam(1e-2))\n", "\n", "list_of_loss = [[] for i in range(ncircuits)]\n", "\n", "for i in range(2000):\n", " loss, grads = QAOA_vvag(params_easy, easy_graph)\n", " params_easy = opt.update(grads, params_easy) # gradient descent\n", "\n", " # visualise the progress\n", " clear_output(wait=True)\n", " list_of_loss = np.hstack((list_of_loss, K.numpy(loss)[:, np.newaxis]))\n", " plt.xlabel(\"Iteration\")\n", " plt.ylabel(\"Cost\")\n", " for index in range(ncircuits):\n", " plt.plot(range(i + 1), list_of_loss[index])\n", " legend = [f\"circuit {leg}\" for leg in range(ncircuits)]\n", " plt.legend(legend)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "98a6b152", "metadata": {}, "source": [ "### Results" ] }, { "cell_type": "markdown", "id": "fc1c257d", "metadata": {}, "source": [ "After inputting the optimized parameters back to the ansatz circuit, we can perform the projective measurement on the output quantum state to get the solution. Here we directly use the bit string with the maximum probability as the solution since we know all information of the probability distribution of the output quantum state, but which is not feasible in the experiment." ] }, { "cell_type": "code", "execution_count": 9, "id": "8c5df93e", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T11:48:26.692908100Z", "start_time": "2023-07-03T11:47:45.326665300Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Circuit #0\n", "cost: 0.014918745495378971\n", "max prob: 0.2869008183479309\n", "bit strings: ['111111000000']\n", "\n", "Circuit #1\n", "cost: 0.030193958431482315\n", "max prob: 0.21499991416931152\n", "bit strings: ['111111000000']\n", "\n", "Circuit #2\n", "cost: 0.021412445232272148\n", "max prob: 0.24743150174617767\n", "bit strings: ['000000111111']\n", "\n", "Circuit #3\n", "cost: 0.013799840584397316\n", "max prob: 0.2941778600215912\n", "bit strings: ['000000111111']\n", "\n", "Circuit #4\n", "cost: 0.014260157942771912\n", "max prob: 0.29104718565940857\n", "bit strings: ['111111000000']\n", "\n", "Circuit #5\n", "cost: 0.013322753831744194\n", "max prob: 0.2968374788761139\n", "bit strings: ['111111000000']\n", "\n" ] } ], "source": [ "# print QAOA results\n", "for num_circuit in range(ncircuits):\n", " print(f\"Circuit #{num_circuit}\")\n", " c = QAOAansatz(params=params_easy[num_circuit], g=easy_graph, return_circuit=True)\n", " loss = QAOAansatz(params=params_easy[num_circuit], g=easy_graph)\n", "\n", " # find the states with max probabilities\n", " probs = K.numpy(c.probability())\n", " max_prob = max(probs)\n", " index = np.where(probs == max_prob)[0]\n", " states = []\n", " for i in index:\n", " states.append(f\"{bin(i)[2:]:0>{c._nqubits}}\")\n", "\n", " print(f\"cost: {K.numpy(loss)}\\nmax prob: {max_prob}\\nbit strings: {states}\\n\")" ] }, { "cell_type": "markdown", "id": "4ae99ab9", "metadata": {}, "source": [ "## Classical Method" ] }, { "cell_type": "markdown", "id": "720dd1a4", "metadata": {}, "source": [ "Here we use two classical methods. The first is the brutal force method (BF), which is to check all bit string one-by-one and need exponential time, thus the obtained solution is guaranteed to be correct." ] }, { "cell_type": "code", "execution_count": 10, "id": "2115bb6d", "metadata": { "ExecuteTime": { "end_time": "2023-07-03T11:48:26.693910800Z", "start_time": "2023-07-03T11:48:26.692908100Z" } }, "outputs": [], "source": [ "def b2s(bit):\n", " return 1 - 2 * int(bit)\n", "\n", "\n", "def energy(cfg, graph, normalize=True):\n", " E = 0.25\n", " for a, b in graph.edges:\n", " E += cfg[a] * cfg[b] * graph[a][b][\"weight\"] * factor\n", " return E if normalize else E / factor\n", "\n", "\n", "def brutal_force(graph):\n", " num_nodes = graph.number_of_nodes()\n", " min_cost, best_case = 1.0, []\n", " for i in range(2**num_nodes):\n", " case = f\"{bin(i)[2:]:0>{num_nodes}}\"\n", "\n", " cost = energy(list(map(b2s, case)), graph)\n", "\n", " gap = min_cost - cost\n", " if gap > 1e-6:\n", " min_cost = cost\n", " best_case = [case]\n", " elif abs(gap) < 1e-6:\n", " best_case.append(case)\n", "\n", " return best_case, min_cost" ] }, { "cell_type": "code", "execution_count": 11, "id": "b0cdc04f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T11:48:27.165348700Z", "start_time": "2023-07-03T11:48:26.692908100Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cost: 0.000\n", "bit string: ['000000111111', '111111000000']\n" ] }, { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# print BF results\n", "bf_best_cases, bf_best = brutal_force(easy_graph)\n", "print(f\"cost: {bf_best:.3f}\\nbit string: {bf_best_cases}\")\n", "\n", "# plot NetworkX graph\n", "colors = [\"r\" if bf_best_cases[0][i] == \"0\" else \"c\" for i in easy_graph.nodes]\n", "nx.draw_networkx(easy_graph, with_labels=True, node_color=colors, pos=pos_easy)\n", "ax = plt.gca()\n", "ax.set_facecolor(\"w\")" ] }, { "cell_type": "markdown", "id": "20324164", "metadata": {}, "source": [ "Another method is the simulated annealing method (SA), which is an approximation method that can be done in polynomial time, so the obtained solution has only a certain probability of being correct." ] }, { "cell_type": "code", "execution_count": 12, "id": "e1551fb4", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T11:48:27.165348700Z", "start_time": "2023-07-03T11:48:27.164345100Z" } }, "outputs": [], "source": [ "def sim_annealing(graph, t_max: int, T: float):\n", " num_nodes = graph.number_of_nodes()\n", " state = np.random.randint(0, 2, num_nodes)\n", " next_state = state.copy()\n", " E = energy(1 - 2 * state, graph, normalize=False)\n", " t = 0\n", " while t < t_max:\n", " temper = (1 - t / t_max) * T\n", " flip_idx = np.random.randint(num_nodes)\n", " next_state[flip_idx] = 1 - next_state[flip_idx]\n", " next_E = energy(1 - 2 * next_state, graph, normalize=False)\n", " if next_E <= E or np.exp(-(next_E - E) / temper) > np.random.rand():\n", " state[flip_idx] = 1 - state[flip_idx]\n", " E = next_E\n", " else:\n", " next_state[flip_idx] = 1 - next_state[flip_idx]\n", " t += 1\n", " return \"\".join(map(str, state.tolist())), E" ] }, { "cell_type": "code", "execution_count": 13, "id": "04596ec1", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T11:48:31.015863400Z", "start_time": "2023-07-03T11:48:27.165348700Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cost: 0.000\n", "prob: 0.910\n", "bit string: ['000000111111', '111111000000']\n" ] } ], "source": [ "# print SA results\n", "sa_best_cases, sa_best, n_exp = [], float(\"inf\"), 100\n", "for _ in range(n_exp):\n", " sa_case, sa_cost = sim_annealing(easy_graph, 200, 1)\n", " gap = sa_best - sa_cost\n", " if gap > 1e-6:\n", " sa_best = sa_cost\n", " sa_best_cases = [sa_case]\n", " elif abs(gap) < 1e-6:\n", " sa_best_cases.append(sa_case)\n", "sa_prob = len(sa_best_cases) / n_exp\n", "sa_best_cases = list(set(sa_best_cases))\n", "print(f\"cost: {sa_best:.3f}\\nprob: {sa_prob:.3f}\\nbit string: {sa_best_cases}\")" ] }, { "cell_type": "markdown", "id": "e9b8619b", "metadata": {}, "source": [ "## Hard Problem" ] }, { "cell_type": "markdown", "id": "9f8cb1da", "metadata": {}, "source": [ "We call the above problem an easy problem, because the classical simulated annealing method has a high probability to obtain the correct solution. Now let's define another relatively hard problem." ] }, { "cell_type": "code", "execution_count": 14, "id": "b0a1f778", "metadata": { "ExecuteTime": { "end_time": "2023-07-03T11:48:31.522735600Z", "start_time": "2023-07-03T11:48:30.976530700Z" } }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# a hard graph instance\n", "hard_clauses = [\n", " [4, 1, 7],\n", " [5, 11, 8],\n", " [4, 1, 8],\n", " [4, 11, 8],\n", " [4, 1, 10],\n", " [5, 11, 8],\n", " [4, 1, 8],\n", " [1, 11, 8],\n", " [4, 1, 7],\n", " [0, 11, 8],\n", " [4, 1, 10],\n", " [4, 11, 8],\n", " [5, 0, 10],\n", " [0, 6, 7],\n", " [5, 0, 11],\n", " [0, 6, 7],\n", " [5, 0, 9],\n", " [3, 6, 7],\n", " [5, 0, 8],\n", " [5, 6, 7],\n", " [5, 0, 10],\n", " [3, 6, 7],\n", " [5, 0, 10],\n", " [1, 6, 7],\n", " [2, 4, 6],\n", " [1, 8, 11],\n", " [2, 4, 6],\n", " [2, 8, 11],\n", " [2, 4, 9],\n", " [5, 8, 11],\n", " [2, 4, 10],\n", " [2, 8, 11],\n", " [2, 4, 10],\n", " [4, 8, 11],\n", " [2, 4, 8],\n", " [4, 8, 11],\n", " [3, 0, 9],\n", " [5, 11, 7],\n", " [3, 0, 10],\n", " [2, 11, 7],\n", " [3, 0, 9],\n", " [0, 11, 7],\n", " [3, 0, 9],\n", " [5, 11, 7],\n", " [3, 0, 10],\n", " [3, 11, 7],\n", " [3, 0, 7],\n", " [4, 11, 7],\n", " [5, 0, 10],\n", " [4, 0, 10],\n", " [2, 5, 6],\n", " [2, 11, 10],\n", " [2, 6, 10],\n", " [2, 4, 9],\n", " [0, 9, 10],\n", " [3, 0, 7],\n", " [2, 5, 6],\n", " [1, 10, 9],\n", " [1, 4, 11],\n", " [5, 10, 11],\n", " [0, 4, 8],\n", " [0, 9, 8],\n", " [2, 11, 10],\n", " [2, 8, 6],\n", " [3, 6, 7],\n", " [0, 8, 10],\n", " [4, 0, 9],\n", " [3, 5, 8],\n", " [5, 11, 10],\n", " [2, 11, 10],\n", " [4, 11, 8],\n", " [1, 3, 11],\n", "]\n", "factor = 1 / len(hard_clauses) / 4\n", "\n", "# convert to a NetworkX graph\n", "hard_graph = nx.Graph()\n", "for i, j, k in hard_clauses:\n", " hard_graph.add_edge(i, j, weight=0)\n", " hard_graph.add_edge(j, k, weight=0)\n", " hard_graph.add_edge(k, i, weight=0)\n", "for i, j, k in hard_clauses:\n", " hard_graph[i][j][\"weight\"] += 1\n", " hard_graph[j][k][\"weight\"] += 1\n", " hard_graph[k][i][\"weight\"] += 1\n", "pos_hard = nx.spring_layout(hard_graph)\n", "nx.draw_networkx(hard_graph, with_labels=True, pos=pos_hard)\n", "ax = plt.gca()\n", "ax.set_facecolor(\"w\")" ] }, { "cell_type": "markdown", "id": "d37be898", "metadata": {}, "source": [ "We first solve this problem by two classical methods." ] }, { "cell_type": "code", "execution_count": 15, "id": "f22b5956", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T11:48:31.523763100Z", "start_time": "2023-07-03T11:48:31.070473700Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cost: 0.000\n", "bit string: ['000000111111', '111111000000']\n" ] }, { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# print BF results\n", "bf_best_cases, bf_best = brutal_force(hard_graph)\n", "print(f\"cost: {bf_best:.3f}\\nbit string: {bf_best_cases}\")\n", "\n", "# plot NetworkX graph\n", "colors = [\"r\" if bf_best_cases[0][i] == \"0\" else \"c\" for i in hard_graph.nodes]\n", "nx.draw_networkx(hard_graph, with_labels=True, node_color=colors, pos=pos_hard)\n", "ax = plt.gca()\n", "ax.set_facecolor(\"w\")" ] }, { "cell_type": "code", "execution_count": 16, "id": "9df75fbc", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T11:48:35.050434800Z", "start_time": "2023-07-03T11:48:31.518734800Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cost: 0.000\n", "prob: 0.070\n", "bit string: ['000000111111', '111111000000']\n" ] } ], "source": [ "# print SA results\n", "sa_best_cases, sa_best, n_exp = [], float(\"inf\"), 100\n", "for _ in range(n_exp):\n", " sa_case, sa_cost = sim_annealing(hard_graph, 200, 1)\n", " gap = sa_best - sa_cost\n", " if gap > 1e-6:\n", " sa_best = sa_cost\n", " sa_best_cases = [sa_case]\n", " elif abs(gap) < 1e-6:\n", " sa_best_cases.append(sa_case)\n", "sa_prob = len(sa_best_cases) / n_exp\n", "sa_best_cases = list(set(sa_best_cases))\n", "print(f\"cost: {sa_best:.3f}\\nprob: {sa_prob:.3f}\\nbit string: {sa_best_cases}\")" ] }, { "cell_type": "markdown", "id": "c4f3a812", "metadata": {}, "source": [ "We found that the probability of SA getting the correct solution on the hard problem is much lower than that on the easy problem. This is because the energy landscape is different for the easy and hard problem, as shown in the following figure.\n", "\n", "\n", "\n", "The global minimum is located in a large and smooth neighborhood for a simpler problem and a narrow region for a harder problem. It is worth noting that when the system size is relatively small, most of the randomly generated problems are easy, and hard problems need to be constructed with special methods, please refer to [Wang, Zheng, Wu, and Zhang (2023)](https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.5.023171)." ] }, { "cell_type": "markdown", "id": "99ee9bf8", "metadata": {}, "source": [ "Now we use QAOA to solve this hard problem." ] }, { "cell_type": "code", "execution_count": 20, "id": "1f6ba479", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# use vvag to get the losses and gradients with different random circuit instances\n", "QAOA_vvag = K.jit(\n", " K.vvag(QAOAansatz, argnums=0, vectorized_argnums=0), static_argnums=(1, 2, 3)\n", ")\n", "\n", "params_hard = K.implicit_randn(\n", " shape=[ncircuits, 2 * nlayers], stddev=0.1\n", ") # initial parameters\n", "if type(K).__name__ == \"JaxBackend\":\n", " opt = K.optimizer(optax.adam(1e-2))\n", "else:\n", " opt = K.optimizer(tf.keras.optimizers.Adam(1e-2))\n", "\n", "list_of_loss = [[] for i in range(ncircuits)]\n", "\n", "for i in range(2000):\n", " loss, grads = QAOA_vvag(params_hard, hard_graph)\n", " params_hard = opt.update(grads, params_hard) # gradient descent\n", "\n", " # visualise the progress\n", " clear_output(wait=True)\n", " list_of_loss = np.hstack((list_of_loss, K.numpy(loss)[:, np.newaxis]))\n", " plt.xlabel(\"Iteration\")\n", " plt.ylabel(\"Cost\")\n", " for index in range(ncircuits):\n", " plt.plot(range(i + 1), list_of_loss[index])\n", " legend = [f\"circuit {leg}\" for leg in range(ncircuits)]\n", " plt.legend(legend)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "id": "a6b7606f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T14:01:09.731783100Z", "start_time": "2023-07-03T14:00:36.495805100Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Circuit #0\n", "cost: 0.02998761646449566\n", "max prob: 0.04241819679737091\n", "bit strings: ['111111000000']\n", "\n", "Circuit #1\n", "cost: 0.034460458904504776\n", "max prob: 0.03702807426452637\n", "bit strings: ['000000111111']\n", "\n", "Circuit #2\n", "cost: 0.04517427086830139\n", "max prob: 0.027316443622112274\n", "bit strings: ['111111000000']\n", "\n", "Circuit #3\n", "cost: 0.02961093559861183\n", "max prob: 0.04281751438975334\n", "bit strings: ['111111000000']\n", "\n", "Circuit #4\n", "cost: 0.030255526304244995\n", "max prob: 0.042135994881391525\n", "bit strings: ['111111000000']\n", "\n", "Circuit #5\n", "cost: 0.029639022424817085\n", "max prob: 0.04278436675667763\n", "bit strings: ['000000111111']\n", "\n" ] } ], "source": [ "# print QAOA results\n", "for num_circuit in range(ncircuits):\n", " print(f\"Circuit #{num_circuit}\")\n", " c = QAOAansatz(params=params_hard[num_circuit], g=hard_graph, return_circuit=True)\n", " loss = QAOAansatz(params=params_hard[num_circuit], g=hard_graph)\n", "\n", " # find the states with max probabilities\n", " probs = K.numpy(c.probability())\n", " max_prob = max(probs)\n", " index = np.where(probs == max_prob)[0]\n", " states = []\n", " for i in index:\n", " states.append(f\"{bin(i)[2:]:0>{c._nqubits}}\")\n", " print(f\"cost: {K.numpy(loss)}\\nmax prob: {max_prob}\\nbit strings: {states}\\n\")" ] }, { "cell_type": "markdown", "id": "565dd4a7", "metadata": {}, "source": [ "The probability of QAOA getting the correct solution is also very low. A very simple trick can be adopted to improve the performance of QAOA, namely quantum dropout, please refer to [following tutorials](qaoa_quantum_dropout.ipynb) or [Wang, Zheng, Wu, and Zhang (2023)](https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.5.023171)." ] }, { "cell_type": "code", "execution_count": 22, "id": "89ed16e3", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false }, "ExecuteTime": { "end_time": "2023-07-03T14:02:46.556219900Z", "start_time": "2023-07-03T14:02:46.519177800Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OS info: Linux-5.4.119-1-tlinux4-0010.2-x86_64-with-glibc2.28\n", "Python version: 3.10.11\n", "Numpy version: 1.23.5\n", "Scipy version: 1.11.0\n", "Pandas version: 2.0.2\n", "TensorNetwork version: 0.4.6\n", "Cotengra is not installed\n", "TensorFlow version: 2.12.0\n", "TensorFlow GPU: []\n", "TensorFlow CUDA infos: {'cpu_compiler': '/dt9/usr/bin/gcc', 'cuda_compute_capabilities': ['sm_35', 'sm_50', 'sm_60', 'sm_70', 'sm_75', 'compute_80'], 'cuda_version': '11.8', 'cudnn_version': '8', 'is_cuda_build': True, 'is_rocm_build': False, 'is_tensorrt_build': True}\n", "Jax version: 0.4.13\n", "Jax installation doesn't support GPU\n", "JaxLib version: 0.4.13\n", "PyTorch version: 2.0.1\n", "PyTorch GPU support: False\n", "PyTorch GPUs: []\n", "Cupy is not installed\n", "Qiskit version: 0.24.1\n", "Cirq version: 1.1.0\n", "TensorCircuit version 0.10.0\n" ] } ], "source": [ "tc.about()" ] } ], "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": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 5 }