From cdd74fabc4041de33b0af937ac49004062a0282f Mon Sep 17 00:00:00 2001 From: PeilinZHENG Date: Wed, 12 Jul 2023 10:34:45 +0800 Subject: [PATCH 1/3] add imag_time_evo.ipynb --- docs/source/tutorial.rst | 1 + docs/source/tutorials/imag_time_evo.ipynb | 1132 +++++++++++++++++++++ 2 files changed, 1133 insertions(+) create mode 100644 docs/source/tutorials/imag_time_evo.ipynb diff --git a/docs/source/tutorial.rst b/docs/source/tutorial.rst index 6c71ea41..39ede96d 100644 --- a/docs/source/tutorial.rst +++ b/docs/source/tutorial.rst @@ -23,4 +23,5 @@ Jupyter Tutorials tutorials/dqas.ipynb tutorials/barren_plateaus.ipynb tutorials/qaoa_portfolio_optimization.ipynb + tutorials/imag_time_evo.ipynb tutorials/qcloud_sdk_demo.ipynb \ No newline at end of file diff --git a/docs/source/tutorials/imag_time_evo.ipynb b/docs/source/tutorials/imag_time_evo.ipynb new file mode 100644 index 00000000..27bcd5ed --- /dev/null +++ b/docs/source/tutorials/imag_time_evo.ipynb @@ -0,0 +1,1132 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "dc0db886", + "metadata": {}, + "source": [ + "# Solving the Ground State of Hamiltonian by Imaginary-time Evolution" + ] + }, + { + "cell_type": "markdown", + "id": "aecf6615", + "metadata": {}, + "source": [ + "## Overview" + ] + }, + { + "cell_type": "markdown", + "id": "b533d43e", + "metadata": {}, + "source": [ + "Imaginary-time evolution (IME) is a method to solve the ground state of the Hamiltonian, which is more efficient than naive gradient descent and will not fall into a local minimum.\n", + "\n", + "However, exact imaginary-time evolution takes exponentially more space and time to execute on a classical computer. On the other hand, it is non-unitary and also cannot be implemented on a quantum computer. Therefore, we consider the approximate imaginary-time evolution, also known as the quantum natural gradient (QNG), that is, at each step we adjust the parameters in the quantum circuit to realize the imaginary-time evolution in a very short time $\\tau$. Let the parameters in the circuit be $\\boldsymbol{\\theta}$ and the output of the circuit is $|\\psi\\rangle$, define\n", + "$$\n", + "\\begin{eqnarray}\n", + " |\\psi_\\tau\\rangle&=&e^{-\\tau\\hat{H}}|\\psi\\rangle\\approx|\\psi\\rangle-\\tau\\hat{H}|\\psi\\rangle,\\\\\n", + " |\\psi'\\rangle&=&|\\psi(\\boldsymbol{\\theta}-\\tau\\boldsymbol{\\delta})\\rangle\\approx|\\psi\\rangle-\\tau\\sum_j\\boldsymbol{\\delta}_j|\\partial_{\\boldsymbol{\\theta}_{j}}\\psi\\rangle,\n", + "\\end{eqnarray}\n", + "$$\n", + "and the overlap is\n", + "$$\n", + "\\begin{equation}\n", + " O=\\sqrt{\\frac{\\langle\\psi_\\tau\\rangle|\\psi'\\rangle\\langle\\psi'|\\psi_\\tau\\rangle}{\\langle\\psi_\\tau\\rangle|\\psi_\\tau\\rangle\\langle\\psi'|\\psi'\\rangle}}.\n", + "\\end{equation}\n", + "$$\n", + "Let $\\partial|O|^2/\\partial\\boldsymbol{\\delta}=0$, we can get $\\boldsymbol{A\\delta=C}$, then the update method is as follows\n", + "$$\n", + "\\begin{equation}\n", + " \\boldsymbol{\\theta}^{n+1}=\\boldsymbol{\\theta}^{n}-\\tau\\boldsymbol{\\delta}=\\boldsymbol{\\theta}^{n}-\\tau\\boldsymbol{A}^{-1}\\boldsymbol{C},\n", + "\\end{equation}\n", + "$$\n", + "where $\\boldsymbol{A}$ is the quantum Fisher information matrix and the matrix element\n", + "$$\n", + "\\begin{equation}\n", + " \\boldsymbol{A}_{ij}=\\Re\\left[\\frac{\\langle\\partial_{\\boldsymbol{\\theta}_{i}}\\psi|\\partial_{\\boldsymbol{\\theta}_{j}}\\psi\\rangle}{\\langle\\psi|\\psi\\rangle}-\\frac{\\langle\\partial_{\\boldsymbol{\\theta}_{i}}\\psi|\\psi\\rangle}{\\langle\\psi|\\psi\\rangle}\\frac{\\langle\\psi|\\partial_{\\boldsymbol{\\theta}_{j}}\\psi\\rangle}{\\langle\\psi|\\psi\\rangle}\\right];\n", + "\\end{equation}\n", + "$$\n", + "$\\boldsymbol{C}$ is the gradient vector of energy versus parameters and the vector element\n", + "$$\n", + "\\begin{equation}\n", + " \\boldsymbol{C}_j=\\Re\\left[\\frac{\\langle\\psi|\\hat{H}|\\partial_{\\boldsymbol{\\theta}_{j}}\\psi\\rangle}{\\langle\\psi|\\psi\\rangle}-\\frac{\\langle\\psi|\\hat{H}|\\psi\\rangle}{\\langle\\psi|\\psi\\rangle}\\frac{\\langle\\psi|\\partial_{\\boldsymbol{\\theta}_{j}}\\psi\\rangle}{\\langle\\psi|\\psi\\rangle}\\right].\n", + "\\end{equation}\n", + "$$\n", + "Since $|\\psi\\rangle$ is represented by quantum circuit and naturally normalized, the second term of $\\boldsymbol{C}$ vanishes. And because the global phase is not important, we can add a $U(1)$ gauge to make the second term of $\\boldsymbol{A}$ vanishes. Related theoretical work can refer to [Yuan, Endo, Zhao, Li and Benjamin](https://doi.org/10.22331/q-2019-10-07-191) and [Stokes, Izaac, Killoran and Carleo](https://doi.org/10.22331/q-2020-05-25-269), which will also show how to measure $\\boldsymbol{A}$ and $\\boldsymbol{C}$ in circuit." + ] + }, + { + "cell_type": "markdown", + "source": [ + "In fields other than quantum computation, equivalent forms of imaginary-time evolution are stochastic reconfiguration in variational Monte Carlo method and natural gradient method and Gauss-Newton method in classical optimization. In stochastic reconfiguration, $|\\psi\\rangle$ is not normalized, so $\\boldsymbol{A}$ and $\\boldsymbol{C}$ are the form shown above. In classical optimization, the second terms of $\\boldsymbol{A}$ and $\\boldsymbol{C}$ vanish automatically when the output is the classical probability distribution. Therefore, when $|\\psi\\rangle$ is similar to the classical probability distribution, that is, when there is no sign structure and phase information, the second term of $\\boldsymbol{A}$ will automatically vanish." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "In this tutorial, we solve a classical Hamiltonian and a quantum Hamiltonian by the approximate imaginary-time evolution and demonstrate various forms of code implementation." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "b0def04d", + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-11T11:16:06.492676700Z", + "start_time": "2023-07-11T11:16:06.134350200Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": "('complex128', 'float64')" + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import tensorcircuit as tc\n", + "from tensorcircuit import experimental\n", + "import optax\n", + "import jax.numpy as jnp\n", + "import tensorflow as tf\n", + "import networkx as nx\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from functools import partial\n", + "from IPython.display import clear_output\n", + "\n", + "K = tc.set_backend('jax')\n", + "tc.set_dtype(\"complex128\")" + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Classical Hamiltonian" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "The classical Hamiltonian is the Hamiltonian of NAE3SAT, which can be solved by QAOA. Please refer to the tutorial of [QAOA for NAE3SAT](qaoa_nae3sat.ipynb) for details.\n", + "\n", + "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", + "$$\n", + "\\begin{equation}\n", + " \\begin{split}\n", + " \\hat{H}_C&=\\sum_{(i,j,k)\\in\\mathcal{C}}\\left[(s_i+s_j+s_k)^2-1\\right]/2\\\\\n", + " &=\\sum_{(i,j,k)\\in\\mathcal{C}}(s_i s_j+s_j s_k+s_k s_i)+|\\mathcal{C}|,\n", + " \\end{split}\n", + "\\end{equation}\n", + "$$\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." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "id": "6e407437", + "metadata": {}, + "source": [ + "### Define the Hamiltonian" + ] + }, + { + "cell_type": "markdown", + "source": [ + "We select the hard problem in the tutorial of [QAOA for NAE3SAT](qaoa_nae3sat.ipynb). We first construct the graph by the clauses." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f1532831", + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-11T11:16:06.657240900Z", + "start_time": "2023-07-11T11:16:06.173235900Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": "
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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# a classical Hamiltonian instance\n", + "clauses = [[4, 1, 7], [5, 11, 8], [4, 1, 8], [4, 11, 8], [4, 1, 10], [5, 11, 8], [4, 1, 8], [1, 11, 8], [4, 1, 7], [0, 11, 8], [4, 1, 10], [4, 11, 8], [5, 0, 10], [0, 6, 7], [5, 0, 11], [0, 6, 7], [5, 0, 9], [3, 6, 7], [5, 0, 8], [5, 6, 7], [5, 0, 10], [3, 6, 7], [5, 0, 10], [1, 6, 7], [2, 4, 6], [1, 8, 11], [2, 4, 6], [2, 8, 11], [2, 4, 9], [5, 8, 11], [2, 4, 10], [2, 8, 11], [2, 4, 10], [4, 8, 11], [2, 4, 8], [4, 8, 11], [3, 0, 9], [5, 11, 7], [3, 0, 10], [2, 11, 7], [3, 0, 9], [0, 11, 7], [3, 0, 9], [5, 11, 7], [3, 0, 10], [3, 11, 7], [3, 0, 7], [4, 11, 7], [5, 0, 10], [4, 0, 10], [2, 5, 6], [2, 11, 10], [2, 6, 10], [2, 4, 9], [0, 9, 10], [3, 0, 7], [2, 5, 6], [1, 10, 9], [1, 4, 11], [5, 10, 11], [0, 4, 8], [0, 9, 8], [2, 11, 10], [2, 8, 6], [3, 6, 7], [0, 8, 10], [4, 0, 9], [3, 5, 8], [5, 11, 10], [2, 11, 10], [4, 11, 8], [1, 3, 11]]\n", + "factor = 1 / len(clauses) / 4\n", + "\n", + "# convert to a NetworkX graph\n", + "graph = nx.Graph()\n", + "for i, j, k in clauses:\n", + " graph.add_edge(i, j, weight=0)\n", + " graph.add_edge(j, k, weight=0)\n", + " graph.add_edge(k, i, weight=0)\n", + "for i, j, k in clauses:\n", + " graph[i][j]['weight'] += 1\n", + " graph[j][k]['weight'] += 1\n", + " graph[k][i]['weight'] += 1\n", + "pos = nx.spring_layout(graph)\n", + "nx.draw_networkx(graph, with_labels=True, pos=pos)\n", + "ax = plt.gca()\n", + "ax.set_facecolor('w')" + ] + }, + { + "cell_type": "markdown", + "source": [ + "Then we construct the Hamiltonian from the graph." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 15, + "outputs": [], + "source": [ + "def b2s(bit):\n", + " return 1 - 2 * int(bit)\n", + "\n", + "def energy(cfg):\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\n", + "\n", + "def construct_Ham():\n", + " num_nodes = graph.number_of_nodes()\n", + " Es = []\n", + " for i in range(2 ** num_nodes):\n", + " case = f'{bin(i)[2:]:0>{num_nodes}}'\n", + " Es.append(energy(list(map(b2s, case))))\n", + " return jnp.asarray(Es)\n", + "\n", + "Hv = construct_Ham()" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T11:16:06.695590600Z", + "start_time": "2023-07-11T11:16:06.345459900Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Here we calculate $e^{-\\tau\\hat{H}}$ in advance to perform exact imaginary-time evolution for comparison with approximate imaginary-time evolution." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 16, + "outputs": [], + "source": [ + "tau_c = 0.025\n", + "exp_tauHv = K.exp(-tau_c * Hv)" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T11:16:06.696505400Z", + "start_time": "2023-07-11T11:16:06.521810800Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "### Variational wave function" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "Here we choose regular QAOA ansatz as the parameterized quantum circuit ([PQC](https://tensorcircuit.readthedocs.io/en/latest/textbook/chap5.html?highlight=变分))." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 17, + "outputs": [], + "source": [ + "nlayers = 30 # the number of layers\n", + "\n", + "@partial(K.jit, static_argnums=(1, 2))\n", + "def wfn_classical(params, each=1, return_loss=False):\n", + " n = graph.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 graph.edges:\n", + " c_.RZZ(a, b, theta=graph[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", + " if return_loss:\n", + " loss = 0.25\n", + " for a, b in graph.edges:\n", + " loss += c.expectation_ps(z=[a, b]) * graph[a][b]['weight'] * factor\n", + " return K.real(loss)\n", + " else:\n", + " return c.state()" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T11:16:06.697555Z", + "start_time": "2023-07-11T11:16:06.528407400Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "### Optimization" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "We use two methods to calculate $\\boldsymbol{\\delta}$, one is to calculate directly according to the expressions of $\\boldsymbol{A}$ and $\\boldsymbol{C}$, and the other is to call the existing API to calculate $\\boldsymbol{A}$ and $\\boldsymbol{C}$. The former only needs to calculate the $|\\partial_{\\boldsymbol{\\theta}_{j}}\\psi\\rangle$ once, while the latter needs to calculate that twice, but the code of the latter is more concise. In each method, we set the parameter $\\text{fixed_global_phase}$ to decide whether to fix the global phase, that is, whether the second term of $\\boldsymbol{A}$ vanishes.\n", + "\n", + "Then we choose the existing optimizer, SGD, to implement the update step. Since compared with naive gradient descent, the approximate imaginary-time evolution has been corrected on the update step size, the adaptive optimizer improved for the naive gradient descent such as Adam is not suitable for the approximate imaginary-time evolution. When update by the adaptive optimizer, the loss function fluctuates greatly. On the other hand, the update method of SGD without momentum is naive update, which is convenient for comparison with the exact imaginary-time evolution." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 18, + "outputs": [], + "source": [ + "@partial(K.jit, static_argnums=(2,))\n", + "def d_params(params, psi, fixed_global_phase=False):\n", + " psi = psi[:, None]\n", + " psiHT = K.conj(K.transpose(psi))\n", + " par_psi = K.jacfwd(wfn_classical, argnums=0)\n", + " jac = par_psi(params)\n", + " jacHT = K.conj(K.transpose(jac))\n", + "\n", + " A = K.real(jacHT @ jac)\n", + " if not fixed_global_phase:\n", + " A -= K.real(jacHT @ psi @ psiHT @ jac)\n", + " # protection\n", + " A += 1e-6 * K.eye(params.shape[-1], dtype=A.dtype)\n", + "\n", + " C = K.real((psiHT * Hv) @ jac)[0]\n", + "\n", + " return K.solve(A, C, assume_a=\"sym\")\n", + "\n", + "@partial(K.jit, static_argnums=(1,))\n", + "def d_params_api(params, fixed_global_phase=False):\n", + " if fixed_global_phase:\n", + " qng = experimental.qng(wfn_classical, kernel=\"dynamics\", mode=\"fwd\")\n", + " else:\n", + " qng = experimental.qng(wfn_classical, kernel=\"qng\", mode=\"fwd\")\n", + " A = qng(params)\n", + " # protection\n", + " A += 1e-6 * K.eye(params.shape[-1], dtype=A.dtype)\n", + "\n", + " vag = K.value_and_grad(partial(wfn_classical, return_loss=True), argnums=0)\n", + " loss, C2 = vag(params)\n", + "\n", + " return loss, K.solve(A, C2 / 2, assume_a=\"sym\")\n", + "\n", + "if K.name == 'jax':\n", + " opt = K.optimizer(optax.sgd(tau_c))\n", + "else:\n", + " opt = K.optimizer(tf.keras.optimizers.SGD(tau_c))" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T11:16:06.698532100Z", + "start_time": "2023-07-11T11:16:06.565856900Z" + } + } + }, + { + "cell_type": "code", + "execution_count": 19, + "outputs": [ + { + "data": { + "text/plain": "
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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "steps_classical = 2000\n", + "\n", + "# initial parameters\n", + "params = K.implicit_randn(shape=(2 * nlayers,), stddev=0.1)\n", + "params_fgp = K.copy(params)\n", + "params_api = K.copy(params)\n", + "params_fgp_api = K.copy(params)\n", + "psi_exact = wfn_classical(params)\n", + "\n", + "losses, losses_fgp, losses_exact = [], [], []\n", + "losses_api, losses_fgp_api = [], []\n", + "\n", + "for i in range(steps_classical):\n", + " psi = wfn_classical(params)\n", + " loss = K.real(K.tensordot(K.conj(psi) * Hv, psi, 1))\n", + " delta = d_params(params, psi)\n", + " params = opt.update(delta, params)\n", + " losses.append(K.numpy(loss))\n", + "\n", + " psi_fgp = wfn_classical(params_fgp)\n", + " loss_fgp = K.real(K.tensordot(K.conj(psi_fgp) * Hv, psi_fgp, 1))\n", + " delta_fgp = d_params(params_fgp, psi_fgp, fixed_global_phase=True)\n", + " params_fgp = opt.update(delta_fgp, params_fgp)\n", + " losses_fgp.append(K.numpy(loss_fgp))\n", + "\n", + " loss_api, delta_api = d_params_api(params_api)\n", + " params_api = opt.update(delta_api, params_api)\n", + " losses_api.append(K.numpy(loss_api))\n", + "\n", + " loss_fgp_api, delta_fgp_api = d_params_api(params_fgp_api, fixed_global_phase=True)\n", + " params_fgp_api = opt.update(delta_fgp_api, params_fgp_api)\n", + " losses_fgp_api.append(K.numpy(loss_fgp_api))\n", + "\n", + " loss_exact = K.real(K.tensordot(K.conj(psi_exact) * Hv, psi_exact, 1))\n", + " psi_exact *= exp_tauHv\n", + " psi_exact /= K.norm(psi_exact)\n", + " losses_exact.append(K.numpy(loss_exact))\n", + "\n", + " # visualise the progress\n", + " clear_output(wait=True)\n", + " plt.xlabel('Iteration')\n", + " plt.ylabel('Cost')\n", + " plt.plot(range(i + 1), losses_exact, c='r', label='exact')\n", + " plt.plot(range(i + 1), losses, c='b', label='unfixed GP')\n", + " plt.plot(range(i + 1), losses_fgp, c='g', label='fixed GP')\n", + " plt.plot(range(i + 1), losses_api, c='m', label='unfixed GP (API)')\n", + " plt.plot(range(i + 1), losses_fgp_api, c='y', label='fixed GP (API)')\n", + " plt.legend()\n", + " plt.show()" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "id": "98a6b152", + "metadata": {}, + "source": [ + "### Results" + ] + }, + { + "cell_type": "markdown", + "source": [ + "We first show the overlap between the final states obtained by different methods. The final states obtained by different methods are very close, which are also close to the exact final state. And the final states obtained by the same method are almost the same and the difference between them is only one global phase." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 20, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "overlap between psi_fgp and psi\n", + "|overlap|: 0.99990623547646\n", + "overlap: (-0.9503999786032177-0.31072875698220964j)\n", + "\n", + "overlap between psi_fgp_api and psi_api\n", + "|overlap|: 0.9993690598239388\n", + "overlap: (0.9469611654290884-0.31937919297062295j)\n", + "\n", + "overlap between psi_api and psi\n", + "|overlap|: 0.9657223380010587\n", + "overlap: (-0.31523027402440384-0.9128250152426423j)\n", + "\n", + "overlap between psi_fgp_api and psi_fgp\n", + "|overlap|: 0.965709942925926\n", + "overlap: (0.8020707325449846+0.5378459201860204j)\n", + "\n", + "overlap between psi_exact and psi\n", + "|overlap|: 0.8984756038763727\n", + "overlap: (-0.6177027661071913-0.6524582005803415j)\n", + "\n", + "overlap between psi_exact and psi_fgp\n", + "|overlap|: 0.8972862435422242\n", + "overlap: (0.7891754631522252+0.4269949545469905j)\n", + "\n", + "overlap between psi_exact and psi_api\n", + "|overlap|: 0.8687584965464771\n", + "overlap: (0.7726826471199991-0.3971181841232232j)\n", + "\n", + "overlap between psi_exact and psi_fgp_api\n", + "|overlap|: 0.8678331881699551\n", + "overlap: (0.8594146438993552-0.12058570537411661j)\n" + ] + } + ], + "source": [ + "psi = wfn_classical(params)\n", + "psi_fgp = wfn_classical(params_fgp)\n", + "psi_api = wfn_classical(params_api)\n", + "psi_fgp_api = wfn_classical(params_fgp_api)\n", + "\n", + "overlap = K.tensordot(K.conj(psi_fgp), psi, 1)\n", + "print(f'overlap between psi_fgp and psi\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_fgp_api), psi_api, 1)\n", + "print(f'overlap between psi_fgp_api and psi_api\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_api), psi, 1)\n", + "print(f'overlap between psi_api and psi\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_fgp_api), psi_fgp, 1)\n", + "print(f'overlap between psi_fgp_api and psi_fgp\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact), psi, 1)\n", + "print(f'overlap between psi_exact and psi\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact), psi_fgp, 1)\n", + "print(f'overlap between psi_exact and psi_fgp\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact), psi_api, 1)\n", + "print(f'overlap between psi_exact and psi_api\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact), psi_fgp_api, 1)\n", + "print(f'overlap between psi_exact and psi_fgp_api\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}')" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T20:00:19.268174200Z", + "start_time": "2023-07-11T20:00:19.131845900Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Then we show the exact solution." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 21, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "min cost: 0.0\n", + "exact solution: ['000000111111', '111111000000']\n" + ] + }, + { + "data": { + "text/plain": "
", + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "idx = [f'{bin(i)[2:]:0>{graph.number_of_nodes()}}' for i in np.where(Hv < 1e-6)[0]]\n", + "print(f'min cost: {0.}\\nexact solution: {idx}')\n", + "\n", + "# plot NetworkX graph\n", + "colors = ['r' if idx[0][i] == '0' else 'c' for i in graph.nodes]\n", + "nx.draw_networkx(graph, with_labels=True, node_color=colors, pos=pos)\n", + "ax = plt.gca()\n", + "ax.set_facecolor('w')" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T20:00:19.435090600Z", + "start_time": "2023-07-11T20:00:19.272569900Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Then we use the bit string with the maximum probability as the approximate solution since we know all information of the probability distribution of the output quantum state, but which is not feasible in the experiment. Under the same learning rate ($\\tau$) and update steps, the results obtained by approximate imaginary-time evolution are similar to those obtained by Adam optimizer. The latter can be found in the tutorial of [QAOA for NAE3SAT](qaoa_nae3sat.ipynb)." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 22, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost by exact IME: 0.016369858553278067\n", + "cost: 0.027056689321034895\t0.027132044870745352 (fgp)\n", + "cost (API): 0.03343563416109707\t0.034067732605414805 (fgp)\n", + "\n", + "max prob by exact IME: 0.13846689405436738\n", + "max prob: 0.040346457516195935\t0.04024638313020584 (fgp)\n", + "max prob (API): 0.03200955784291694\t0.03179869846746198 (fgp)\n", + "\n", + "bit strings by exact IME: ['111111000000']\n", + "bit strings: ['011001011110']\t['011001011110'] (fgp)\n", + "bit strings (API): ['000000111111']\t['111111000000'] (fgp)\n" + ] + } + ], + "source": [ + "loss = K.real(K.tensordot(K.conj(psi) * Hv, psi, 1))\n", + "loss_fgp = K.real(K.tensordot(K.conj(psi_fgp) * Hv, psi_fgp, 1))\n", + "loss_api = K.real(K.tensordot(K.conj(psi_api) * Hv, psi_api, 1))\n", + "loss_fgp_api = K.real(K.tensordot(K.conj(psi_fgp_api) * Hv, psi_fgp_api, 1))\n", + "loss_exact = K.real(K.tensordot(K.conj(psi_exact) * Hv, psi_exact, 1))\n", + "print(f'cost by exact IME: {K.numpy(loss_exact)}')\n", + "print(f'cost: {K.numpy(loss)}\\t{K.numpy(loss_fgp)} (fgp)')\n", + "print(f'cost (API): {K.numpy(loss_api)}\\t{K.numpy(loss_fgp_api)} (fgp)\\n')\n", + "\n", + "# find the states with max probabilities\n", + "def find_max(psi):\n", + " probs = K.numpy(K.real(K.conj(psi) * psi))\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>{graph.number_of_nodes()}}')\n", + " return max_prob, states\n", + "\n", + "prob, states = find_max(psi)\n", + "prob_fpg, states_fpg = find_max(psi_fgp)\n", + "prob_api, states_api = find_max(psi_api)\n", + "prob_fpg_api, states_fpg_api = find_max(psi_fgp_api)\n", + "prob_exact, states_exact = find_max(psi_exact)\n", + "print(f'max prob by exact IME: {prob_exact}')\n", + "print(f'max prob: {prob}\\t{prob_fpg} (fgp)')\n", + "print(f'max prob (API): {prob_api}\\t{prob_fpg_api} (fgp)\\n')\n", + "print(f'bit strings by exact IME: {states_exact}')\n", + "print(f'bit strings: {states}\\t{states_fpg} (fgp)')\n", + "print(f'bit strings (API): {states_api}\\t{states_fpg_api} (fgp)')" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T20:00:19.543028600Z", + "start_time": "2023-07-11T20:00:19.434547200Z" + } + } + }, + { + "cell_type": "markdown", + "id": "4ae99ab9", + "metadata": {}, + "source": [ + "## Quantum Hamiltonian" + ] + }, + { + "cell_type": "markdown", + "id": "720dd1a4", + "metadata": {}, + "source": [ + "The quantum Hamiltonian is the Hamiltonian of the transverse and longitudinal field Ising model." + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Define the Hamiltonian" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "Here we also calculate $e^{-\\tau\\hat{H}}$ in advance to perform exact imaginary-time evolution for comparison with approximate imaginary-time evolution." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "2115bb6d", + "metadata": { + "ExecuteTime": { + "end_time": "2023-07-11T20:00:24.401402200Z", + "start_time": "2023-07-11T20:00:19.512868200Z" + } + }, + "outputs": [], + "source": [ + "N = 10\n", + "g = tc.templates.graphs.Line1D(N, pbc=False)\n", + "h = tc.quantum.heisenberg_hamiltonian(g, hzz=1, hyy=0, hxx=0, hz=0.5, hx=1, hy=0, sparse=True)\n", + "H = tc.array_to_tensor(h.todense())\n", + "\n", + "tau_q = 0.001\n", + "exp_tauH = K.expm(-tau_q * H)" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Variational wave function" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "Compared with the regular QAOA ansatz in the classic example, this ansatz has a higher parameter density and the initial state is $|0\\rangle$ instead of $|+\\rangle$." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 24, + "outputs": [], + "source": [ + "l = 10 # the number of layers\n", + "\n", + "@partial(K.jit, static_argnums=(1,))\n", + "def wfn_quantum(theta, each=1):\n", + " # PQC loop\n", + " def pqc_loop(s_, theta_):\n", + " c_ = tc.Circuit(N, inputs=s_)\n", + " for i in range(each):\n", + " for j in range(N):\n", + " c_.RZZ(j, (j + 1) % N, theta=theta_[i, j, 0])\n", + " for j in range(N):\n", + " c_.RX(j, theta=theta_[i, j, 1])\n", + " s_ = c_.state()\n", + " return s_\n", + "\n", + " c0 = tc.Circuit(N)\n", + " s0 = c0.state()\n", + " s = K.scan(pqc_loop, K.reshape(theta, [l // each, each, N, 2]), s0)\n", + " c = tc.Circuit(N, inputs=s)\n", + "\n", + " return c.state()" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T20:00:24.430347Z", + "start_time": "2023-07-11T20:00:24.401402200Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "### Optimization" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "We also use two methods to calculate $\\boldsymbol{\\delta}$, but make some changes in the method of directly calling the API and the update method. When calculating $\\boldsymbol{A}$, we call $\\text{qng2}$ instead of $\\text{qng}$, and when calculating $\\boldsymbol{C}$, we call $\\text{dynamics_rhs}$ instead of calculating the energy gradient by $\\text{value_and_grad}$. For the update method, we do not call the existing optimizer but directly adopt the naive update method." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 25, + "outputs": [], + "source": [ + "@partial(K.jit, static_argnums=(2,))\n", + "def d_theta(theta, psi, fixed_global_phase=False):\n", + " psi = psi[:, None]\n", + " psiHT = K.conj(K.transpose(psi))\n", + " par_psi = K.jacfwd(wfn_quantum, argnums=0)\n", + " jac = par_psi(theta)\n", + " jacHT = K.conj(K.transpose(jac))\n", + "\n", + " A = K.real(jacHT @ jac)\n", + " if not fixed_global_phase:\n", + " A -= K.real(jacHT @ psi @ psiHT @ jac)\n", + " # protection\n", + " A += 1e-6 * K.eye(theta.shape[-1], dtype=A.dtype)\n", + "\n", + " C = K.real(psiHT @ K.sparse_dense_matmul(h, jac))[0]\n", + "\n", + " return K.solve(A, C, assume_a=\"sym\")\n", + "\n", + "@partial(K.jit, static_argnums=(1,))\n", + "def d_theta_api(theta, fixed_global_phase=False):\n", + " if fixed_global_phase:\n", + " qng = experimental.qng2(wfn_quantum, kernel=\"dynamics\", mode=\"fwd\")\n", + " else:\n", + " qng = experimental.qng2(wfn_quantum, kernel=\"qng\", mode=\"fwd\")\n", + " A = qng(theta)\n", + " # protection\n", + " A += 1e-6 * K.eye(theta.shape[-1], dtype=A.dtype)\n", + "\n", + " vag = experimental.dynamics_rhs(wfn_quantum, h)\n", + " C = vag(theta)\n", + "\n", + " return K.solve(A, C, assume_a=\"sym\")\n", + "\n", + "@K.jit\n", + "def update(theta, delta, tau):\n", + " return theta - K.cast(tau * delta, dtype=theta.dtype)" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T20:00:24.430347Z", + "start_time": "2023-07-11T20:00:24.417868500Z" + } + } + }, + { + "cell_type": "code", + "execution_count": 26, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "steps_quantum = 2000\n", + "\n", + "# initial parameters\n", + "theta = K.implicit_randn(shape=(2 * l * N,), stddev=0.1)\n", + "theta_fgp = K.copy(theta)\n", + "theta_api = K.copy(theta)\n", + "theta_fgp_api = K.copy(theta)\n", + "psi_exact = wfn_quantum(theta)[:, None]\n", + "\n", + "losses, losses_fgp, losses_exact = [], [], []\n", + "losses_api, losses_fgp_api = [], []\n", + "\n", + "for i in range(steps_quantum):\n", + " psi = wfn_quantum(theta)\n", + " loss = K.real(K.conj(psi)[None, :] @ K.sparse_dense_matmul(h, psi[:, None]))[0, 0]\n", + " delta = d_theta(theta, psi)\n", + " theta = update(theta, delta, tau_q)\n", + " losses.append(loss)\n", + "\n", + " psi_fgp = wfn_quantum(theta_fgp)\n", + " loss_fgp = K.real(K.conj(psi_fgp)[None, :] @ K.sparse_dense_matmul(h, psi_fgp[:, None]))[0, 0]\n", + " delta_fgp = d_theta(theta_fgp, psi_fgp, fixed_global_phase=True)\n", + " theta_fgp = update(theta_fgp, delta_fgp, tau_q)\n", + " losses_fgp.append(loss_fgp)\n", + "\n", + " psi_api = wfn_quantum(theta_api)\n", + " loss_api = K.real(K.conj(psi_api)[None, :] @ K.sparse_dense_matmul(h, psi_api[:, None]))[0, 0]\n", + " delta_api = d_theta_api(theta_api)\n", + " theta_api = update(theta_api, delta_api, tau_q)\n", + " losses_api.append(loss_api)\n", + "\n", + " psi_fgp_api = wfn_quantum(theta_fgp_api)\n", + " loss_fgp_api = K.real(K.conj(psi_fgp_api)[None, :] @ K.sparse_dense_matmul(h, psi_fgp_api[:, None]))[0, 0]\n", + " delta_fgp_api = d_theta_api(theta_fgp_api, fixed_global_phase=True)\n", + " theta_fgp_api = update(theta_fgp_api, delta_fgp_api, tau_q)\n", + " losses_fgp_api.append(loss_fgp_api)\n", + "\n", + " loss_exact = K.real(K.transpose(K.conj(psi_exact)) @ K.sparse_dense_matmul(h, psi_exact))[0, 0]\n", + " psi_exact = exp_tauH @ psi_exact\n", + " psi_exact /= K.norm(psi_exact)\n", + " losses_exact.append(K.numpy(loss_exact))\n", + "\n", + " # visualise the progress\n", + " clear_output(wait=True)\n", + " plt.xlabel('Iteration')\n", + " plt.ylabel('Energy')\n", + " plt.plot(range(i + 1), losses_exact, c='r', label='exact')\n", + " plt.plot(range(i + 1), losses, c='b', label='unfixed GP')\n", + " plt.plot(range(i + 1), losses_fgp, c='g', label='fixed GP')\n", + " plt.plot(range(i + 1), losses_api, c='m', label='unfixed GP (API)')\n", + " plt.plot(range(i + 1), losses_fgp_api, c='y', label='fixed GP (API)')\n", + " plt.legend()\n", + " plt.show()" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "### Results" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "We first show the overlap between the final states obtained by different methods. The final states obtained by different methods are very close, which differ very little from the exact final state. Similarly, the final states obtained by the same method but with fixed and unfixed global phases have only one global phase difference." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 27, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "overlap between psi_fgp and psi\n", + "|overlap|: 0.9988745789696979\n", + "overlap: (-0.19668447544972692+0.979318968277934j)\n", + "\n", + "overlap between psi_fgp_api and psi_api\n", + "|overlap|: 0.9879934153835302\n", + "overlap: (0.3603519955155164-0.9199333824626641j)\n", + "\n", + "overlap between psi_api and psi\n", + "|overlap|: 0.9316780773622957\n", + "overlap: (-0.9311795508745964+0.030474314930587453j)\n", + "\n", + "overlap between psi_fgp_api and psi_fgp\n", + "|overlap|: 0.9464927401778188\n", + "overlap: (0.9373049454332234+0.13155966887970733j)\n", + "\n", + "overlap between psi_exact and psi\n", + "|overlap|: 0.8929004801904091\n", + "overlap: (-0.15813235179268223+0.8787863374226859j)\n", + "\n", + "overlap between psi_exact and psi_fgp\n", + "|overlap|: 0.8933693118434571\n", + "overlap: (0.8928470335487045-0.030543444909353012j)\n", + "\n", + "overlap between psi_exact and psi_api\n", + "|overlap|: 0.8290367234971434\n", + "overlap: (0.05352132993406158-0.8273072924548461j)\n", + "\n", + "overlap between psi_exact and psi_fgp_api\n", + "|overlap|: 0.8521917037527431\n", + "overlap: (0.8148474344143313-0.24950823347814624j)\n" + ] + } + ], + "source": [ + "psi = wfn_quantum(theta)\n", + "psi_fgp = wfn_quantum(theta_fgp)\n", + "psi_api = wfn_quantum(theta_api)\n", + "psi_fgp_api = wfn_quantum(theta_fgp_api)\n", + "\n", + "overlap = K.tensordot(K.conj(psi_fgp), psi, 1)\n", + "print(f'overlap between psi_fgp and psi\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_fgp_api), psi_api, 1)\n", + "print(f'overlap between psi_fgp_api and psi_api\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_api), psi, 1)\n", + "print(f'overlap between psi_api and psi\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_fgp_api), psi_fgp, 1)\n", + "print(f'overlap between psi_fgp_api and psi_fgp\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact[:, 0]), psi, 1)\n", + "print(f'overlap between psi_exact and psi\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact[:, 0]), psi_fgp, 1)\n", + "print(f'overlap between psi_exact and psi_fgp\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact[:, 0]), psi_api, 1)\n", + "print(f'overlap between psi_exact and psi_api\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}\\n')\n", + "overlap = K.tensordot(K.conj(psi_exact[:, 0]), psi_fgp_api, 1)\n", + "print(f'overlap between psi_exact and psi_fgp_api\\n|overlap|: {K.abs(overlap)}\\noverlap: {overlap}')" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T21:53:21.980433500Z", + "start_time": "2023-07-11T21:53:21.909960400Z" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Then we compare the approximate ground state energy with the exact result. The differences are very small, but the result obtained by exact imaginary-time evolution is indeed the closest to the real ground state energy." + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 28, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "exact ground state energy: -12.669360644773814\n", + "\n", + "ground state energy by exact IME: -12.634412590497769\n", + "ground state energy: -12.4774432814582\t-12.481075889123861 (fgp)\n", + "ground state energy (API): -12.391673576863138\t-12.427648711247233 (fgp)\n" + ] + } + ], + "source": [ + "E = K.eigvalsh(H)[0]\n", + "print(f'exact ground state energy: {E}\\n')\n", + "loss_exact = K.real(K.transpose(K.conj(psi_exact)) @ K.sparse_dense_matmul(h, psi_exact))[0, 0]\n", + "print(f'ground state energy by exact IME: {K.numpy(loss_exact)}')\n", + "loss = K.real(K.conj(psi)[None, :] @ K.sparse_dense_matmul(h, psi[:, None]))[0, 0]\n", + "loss_fgp = K.real(K.conj(psi_fgp)[None, :] @ K.sparse_dense_matmul(h, psi_fgp[:, None]))[0, 0]\n", + "print(f'ground state energy: {K.numpy(loss)}\\t{K.numpy(loss_fgp)} (fgp)')\n", + "loss_api = K.real(K.conj(psi_api)[None, :] @ K.sparse_dense_matmul(h, psi_api[:, None]))[0, 0]\n", + "loss_fgp_api = K.real(K.conj(psi_fgp_api)[None, :] @ K.sparse_dense_matmul(h, psi_fgp_api[:, None]))[0, 0]\n", + "print(f'ground state energy (API): {K.numpy(loss_api)}\\t{K.numpy(loss_fgp_api)} (fgp)')" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-07-11T21:53:22.388902100Z", + "start_time": "2023-07-11T21:53:21.962763600Z" + } + } + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "89ed16e3", + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false + }, + "ExecuteTime": { + "end_time": "2023-07-12T01:54:11.094124500Z", + "start_time": "2023-07-12T01:54:11.065644100Z" + } + }, + "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 version: 0.2.1.dev15+g120379e\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 +} From acf53b9310206c82a0b552ce9012cfd70c674378 Mon Sep 17 00:00:00 2001 From: PeilinZHENG Date: Thu, 13 Jul 2023 15:35:05 +0800 Subject: [PATCH 2/3] update imag_time_evo.ipynb --- docs/source/tutorials/imag_time_evo.ipynb | 324 ++++++++++++---------- 1 file changed, 182 insertions(+), 142 deletions(-) diff --git a/docs/source/tutorials/imag_time_evo.ipynb b/docs/source/tutorials/imag_time_evo.ipynb index 27bcd5ed..5d53e17d 100644 --- a/docs/source/tutorials/imag_time_evo.ipynb +++ b/docs/source/tutorials/imag_time_evo.ipynb @@ -77,24 +77,10 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "b0def04d", - "metadata": { - "ExecuteTime": { - "end_time": "2023-07-11T11:16:06.492676700Z", - "start_time": "2023-07-11T11:16:06.134350200Z" - } - }, - "outputs": [ - { - "data": { - "text/plain": "('complex128', 'float64')" - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ "import tensorcircuit as tc\n", "from tensorcircuit import experimental\n", @@ -104,11 +90,25 @@ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", + "import cotengra as ctg\n", + "import time\n", "from functools import partial\n", "from IPython.display import clear_output\n", "\n", "K = tc.set_backend('jax')\n", - "tc.set_dtype(\"complex128\")" + "tc.set_dtype(\"complex128\")\n", + "\n", + "# cotengra package to speed up the calculation\n", + "opt_ctg = ctg.ReusableHyperOptimizer(\n", + " methods = [\"greedy\", \"kahypar\"],\n", + " parallel = True,\n", + " minimize = \"combo\",\n", + " max_time = 20,\n", + " max_repeats = 128,\n", + " progbar = True\n", + ")\n", + "\n", + "tc.set_contractor(\"custom\", optimizer=opt_ctg, preprocessing=True)" ] }, { @@ -159,19 +159,19 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 3, "id": "f1532831", "metadata": { "ExecuteTime": { - "end_time": "2023-07-11T11:16:06.657240900Z", - "start_time": "2023-07-11T11:16:06.173235900Z" + "end_time": "2023-07-13T02:33:37.851074700Z", + "start_time": "2023-07-13T02:33:37.537921300Z" } }, "outputs": [ { "data": { "text/plain": "
", - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" @@ -209,8 +209,16 @@ }, { "cell_type": "code", - "execution_count": 15, - "outputs": [], + "execution_count": 4, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" + ] + } + ], "source": [ "def b2s(bit):\n", " return 1 - 2 * int(bit)\n", @@ -234,8 +242,8 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T11:16:06.695590600Z", - "start_time": "2023-07-11T11:16:06.345459900Z" + "end_time": "2023-07-13T02:33:37.975017500Z", + "start_time": "2023-07-13T02:33:37.740165Z" } } }, @@ -250,7 +258,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 5, "outputs": [], "source": [ "tau_c = 0.025\n", @@ -259,8 +267,8 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T11:16:06.696505400Z", - "start_time": "2023-07-11T11:16:06.521810800Z" + "end_time": "2023-07-13T02:33:37.999586200Z", + "start_time": "2023-07-13T02:33:37.923540200Z" } } }, @@ -284,10 +292,10 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 6, "outputs": [], "source": [ - "nlayers = 30 # the number of layers\n", + "nlayers = 20 # the number of layers\n", "\n", "@partial(K.jit, static_argnums=(1, 2))\n", "def wfn_classical(params, each=1, return_loss=False):\n", @@ -324,8 +332,8 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T11:16:06.697555Z", - "start_time": "2023-07-11T11:16:06.528407400Z" + "end_time": "2023-07-13T02:33:38.001837Z", + "start_time": "2023-07-13T02:33:37.969064900Z" } } }, @@ -351,11 +359,11 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 7, "outputs": [], "source": [ - "@partial(K.jit, static_argnums=(2,))\n", - "def d_params(params, psi, fixed_global_phase=False):\n", + "@partial(K.jit, static_argnums=(3,))\n", + "def d_params(params, psi, eps=1e-6, fixed_global_phase=False):\n", " psi = psi[:, None]\n", " psiHT = K.conj(K.transpose(psi))\n", " par_psi = K.jacfwd(wfn_classical, argnums=0)\n", @@ -366,21 +374,21 @@ " if not fixed_global_phase:\n", " A -= K.real(jacHT @ psi @ psiHT @ jac)\n", " # protection\n", - " A += 1e-6 * K.eye(params.shape[-1], dtype=A.dtype)\n", + " A += eps * K.eye(params.shape[-1], dtype=A.dtype)\n", "\n", " C = K.real((psiHT * Hv) @ jac)[0]\n", "\n", " return K.solve(A, C, assume_a=\"sym\")\n", "\n", - "@partial(K.jit, static_argnums=(1,))\n", - "def d_params_api(params, fixed_global_phase=False):\n", + "@partial(K.jit, static_argnums=(2,))\n", + "def d_params_api(params, eps=1e-6, fixed_global_phase=False):\n", " if fixed_global_phase:\n", - " qng = experimental.qng(wfn_classical, kernel=\"dynamics\", mode=\"fwd\")\n", + " qng = experimental.qng(wfn_classical, kernel=\"dynamics\", postprocess=None, mode=\"fwd\")\n", " else:\n", - " qng = experimental.qng(wfn_classical, kernel=\"qng\", mode=\"fwd\")\n", - " A = qng(params)\n", + " qng = experimental.qng(wfn_classical, kernel=\"qng\", postprocess=None, mode=\"fwd\")\n", + " A = K.real(qng(params))\n", " # protection\n", - " A += 1e-6 * K.eye(params.shape[-1], dtype=A.dtype)\n", + " A += eps * K.eye(params.shape[-1], dtype=A.dtype)\n", "\n", " vag = K.value_and_grad(partial(wfn_classical, return_loss=True), argnums=0)\n", " loss, C2 = vag(params)\n", @@ -395,22 +403,29 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T11:16:06.698532100Z", - "start_time": "2023-07-11T11:16:06.565856900Z" + "end_time": "2023-07-13T02:33:38.002380500Z", + "start_time": "2023-07-13T02:33:37.969607700Z" } } }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 8, "outputs": [ { "data": { "text/plain": "
", - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1999: 6.1109702587127686\tTotal: 12327.309196949005\n" + ] } ], "source": [ @@ -426,24 +441,27 @@ "losses, losses_fgp, losses_exact = [], [], []\n", "losses_api, losses_fgp_api = [], []\n", "\n", + "eps = 1e-6\n", + "t0 = ts = time.time()\n", + "\n", "for i in range(steps_classical):\n", " psi = wfn_classical(params)\n", " loss = K.real(K.tensordot(K.conj(psi) * Hv, psi, 1))\n", - " delta = d_params(params, psi)\n", + " delta = d_params(params, psi, eps)\n", " params = opt.update(delta, params)\n", " losses.append(K.numpy(loss))\n", "\n", " psi_fgp = wfn_classical(params_fgp)\n", " loss_fgp = K.real(K.tensordot(K.conj(psi_fgp) * Hv, psi_fgp, 1))\n", - " delta_fgp = d_params(params_fgp, psi_fgp, fixed_global_phase=True)\n", + " delta_fgp = d_params(params_fgp, psi_fgp, eps, fixed_global_phase=True)\n", " params_fgp = opt.update(delta_fgp, params_fgp)\n", " losses_fgp.append(K.numpy(loss_fgp))\n", "\n", - " loss_api, delta_api = d_params_api(params_api)\n", + " loss_api, delta_api = d_params_api(params_api, eps)\n", " params_api = opt.update(delta_api, params_api)\n", " losses_api.append(K.numpy(loss_api))\n", "\n", - " loss_fgp_api, delta_fgp_api = d_params_api(params_fgp_api, fixed_global_phase=True)\n", + " loss_fgp_api, delta_fgp_api = d_params_api(params_fgp_api, eps, fixed_global_phase=True)\n", " params_fgp_api = opt.update(delta_fgp_api, params_fgp_api)\n", " losses_fgp_api.append(K.numpy(loss_fgp_api))\n", "\n", @@ -452,6 +470,8 @@ " psi_exact /= K.norm(psi_exact)\n", " losses_exact.append(K.numpy(loss_exact))\n", "\n", + " eps *= 0.999\n", + "\n", " # visualise the progress\n", " clear_output(wait=True)\n", " plt.xlabel('Iteration')\n", @@ -462,7 +482,11 @@ " plt.plot(range(i + 1), losses_api, c='m', label='unfixed GP (API)')\n", " plt.plot(range(i + 1), losses_fgp_api, c='y', label='fixed GP (API)')\n", " plt.legend()\n", - " plt.show()" + " plt.show()\n", + "\n", + " te = time.time()\n", + " print(f'Epoch {i}: {te - ts}\\tTotal: {te - t0}')\n", + " ts = te" ], "metadata": { "collapsed": false @@ -479,7 +503,7 @@ { "cell_type": "markdown", "source": [ - "We first show the overlap between the final states obtained by different methods. The final states obtained by different methods are very close, which are also close to the exact final state. And the final states obtained by the same method are almost the same and the difference between them is only one global phase." + "We first show the overlap between the final states obtained by different methods. The final states obtained by different methods but with the same parameter of $\\text{fixed_global_phase}$ are almost the same, which are also close to the exact final state. And the final states obtained by the same method but with the different parameter of $\\text{fixed_global_phase}$ has a global phase difference." ], "metadata": { "collapsed": false @@ -487,43 +511,43 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 9, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "overlap between psi_fgp and psi\n", - "|overlap|: 0.99990623547646\n", - "overlap: (-0.9503999786032177-0.31072875698220964j)\n", + "|overlap|: 0.9184369993048669\n", + "overlap: (-0.4580633040968157+0.7960556080651879j)\n", "\n", "overlap between psi_fgp_api and psi_api\n", - "|overlap|: 0.9993690598239388\n", - "overlap: (0.9469611654290884-0.31937919297062295j)\n", + "|overlap|: 0.9184279183739732\n", + "overlap: (-0.4588479071459403+0.7955931368209131j)\n", "\n", "overlap between psi_api and psi\n", - "|overlap|: 0.9657223380010587\n", - "overlap: (-0.31523027402440384-0.9128250152426423j)\n", + "|overlap|: 0.999999996801054\n", + "overlap: (0.999999545918014-0.0009496135391365943j)\n", "\n", "overlap between psi_fgp_api and psi_fgp\n", - "|overlap|: 0.965709942925926\n", - "overlap: (0.8020707325449846+0.5378459201860204j)\n", + "|overlap|: 0.9999999922593946\n", + "overlap: (0.9999999907968652+5.408381530766986e-05j)\n", "\n", "overlap between psi_exact and psi\n", - "|overlap|: 0.8984756038763727\n", - "overlap: (-0.6177027661071913-0.6524582005803415j)\n", + "|overlap|: 0.8876639929202528\n", + "overlap: (-0.45130602703961775+0.7643757153944926j)\n", "\n", "overlap between psi_exact and psi_fgp\n", - "|overlap|: 0.8972862435422242\n", - "overlap: (0.7891754631522252+0.4269949545469905j)\n", + "|overlap|: 0.9290015132797724\n", + "overlap: (0.9278995939751679-0.04523444679473629j)\n", "\n", "overlap between psi_exact and psi_api\n", - "|overlap|: 0.8687584965464771\n", - "overlap: (0.7726826471199991-0.3971181841232232j)\n", + "|overlap|: 0.8876569548840061\n", + "overlap: (-0.45202998890392976+0.7639396302624046j)\n", "\n", "overlap between psi_exact and psi_fgp_api\n", - "|overlap|: 0.8678331881699551\n", - "overlap: (0.8594146438993552-0.12058570537411661j)\n" + "|overlap|: 0.9290084278770248\n", + "overlap: (0.9279048483224752-0.04526865942553761j)\n" ] } ], @@ -553,15 +577,15 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T20:00:19.268174200Z", - "start_time": "2023-07-11T20:00:19.131845900Z" + "end_time": "2023-07-13T05:59:13.932343300Z", + "start_time": "2023-07-13T05:59:13.843507900Z" } } }, { "cell_type": "markdown", "source": [ - "Then we show the exact solution." + "Then we show the exact solution by the brutal force method." ], "metadata": { "collapsed": false @@ -569,7 +593,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 10, "outputs": [ { "name": "stdout", @@ -582,7 +606,7 @@ { "data": { "text/plain": "
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" + "image/png": 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" }, "metadata": {}, "output_type": "display_data" @@ -601,15 +625,15 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T20:00:19.435090600Z", - "start_time": "2023-07-11T20:00:19.272569900Z" + "end_time": "2023-07-13T05:59:14.080058300Z", + "start_time": "2023-07-13T05:59:13.925677800Z" } } }, { "cell_type": "markdown", "source": [ - "Then we use the bit string with the maximum probability as the approximate solution since we know all information of the probability distribution of the output quantum state, but which is not feasible in the experiment. Under the same learning rate ($\\tau$) and update steps, the results obtained by approximate imaginary-time evolution are similar to those obtained by Adam optimizer. The latter can be found in the tutorial of [QAOA for NAE3SAT](qaoa_nae3sat.ipynb)." + "Then we use the bit string with the maximum probability as the approximate solution since we know all information of the probability distribution of the output quantum state, but which is not feasible in the experiment. For the hard problem with rough energy landscape, approximate imaginary-time evolution with 20-layer ansatz gives mediocre results, similar to those obtained by the Adam optimizer with 30-layer ansatz, which can be found in the tutorial of [QAOA for NAE3SAT](qaoa_nae3sat.ipynb). However, this does not mean that approximate imaginary-time evolution is more practical than Adam optimizer because under the same ansatz, the former consumes much more time for each step update than the latter. In contrast, the exact imaginary-time evolution gives excellent results but takes exponential time to compute on a classical computer." ], "metadata": { "collapsed": false @@ -617,22 +641,22 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 11, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "cost by exact IME: 0.016369858553278067\n", - "cost: 0.027056689321034895\t0.027132044870745352 (fgp)\n", - "cost (API): 0.03343563416109707\t0.034067732605414805 (fgp)\n", + "cost by exact IME: 0.01636900218695893\n", + "cost: 0.03377396891545763\t0.02951298530564577 (fgp)\n", + "cost (API): 0.033775089880425574\t0.0295121140061756 (fgp)\n", "\n", - "max prob by exact IME: 0.13846689405436738\n", - "max prob: 0.040346457516195935\t0.04024638313020584 (fgp)\n", - "max prob (API): 0.03200955784291694\t0.03179869846746198 (fgp)\n", + "max prob by exact IME: 0.13847431901217763\n", + "max prob: 0.03930045644879558\t0.05100224184204695 (fgp)\n", + "max prob (API): 0.03929777441862845\t0.05100594691342963 (fgp)\n", "\n", "bit strings by exact IME: ['111111000000']\n", - "bit strings: ['011001011110']\t['011001011110'] (fgp)\n", + "bit strings: ['111111000000']\t['000000111111'] (fgp)\n", "bit strings (API): ['000000111111']\t['111111000000'] (fgp)\n" ] } @@ -672,8 +696,8 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T20:00:19.543028600Z", - "start_time": "2023-07-11T20:00:19.434547200Z" + "end_time": "2023-07-13T05:59:14.197783300Z", + "start_time": "2023-07-13T05:59:14.080058300Z" } } }, @@ -713,12 +737,12 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 13, "id": "2115bb6d", "metadata": { "ExecuteTime": { - "end_time": "2023-07-11T20:00:24.401402200Z", - "start_time": "2023-07-11T20:00:19.512868200Z" + "end_time": "2023-07-13T06:54:56.088379500Z", + "start_time": "2023-07-13T06:54:55.808504500Z" } }, "outputs": [], @@ -752,7 +776,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 14, "outputs": [], "source": [ "l = 10 # the number of layers\n", @@ -780,8 +804,8 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T20:00:24.430347Z", - "start_time": "2023-07-11T20:00:24.401402200Z" + "end_time": "2023-07-13T06:54:58.940024800Z", + "start_time": "2023-07-13T06:54:58.920216200Z" } } }, @@ -805,11 +829,11 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 15, "outputs": [], "source": [ - "@partial(K.jit, static_argnums=(2,))\n", - "def d_theta(theta, psi, fixed_global_phase=False):\n", + "@partial(K.jit, static_argnums=(3,))\n", + "def d_theta(theta, psi, eps=1e-6, fixed_global_phase=False):\n", " psi = psi[:, None]\n", " psiHT = K.conj(K.transpose(psi))\n", " par_psi = K.jacfwd(wfn_quantum, argnums=0)\n", @@ -820,21 +844,21 @@ " if not fixed_global_phase:\n", " A -= K.real(jacHT @ psi @ psiHT @ jac)\n", " # protection\n", - " A += 1e-6 * K.eye(theta.shape[-1], dtype=A.dtype)\n", + " A += eps * K.eye(theta.shape[-1], dtype=A.dtype)\n", "\n", " C = K.real(psiHT @ K.sparse_dense_matmul(h, jac))[0]\n", "\n", " return K.solve(A, C, assume_a=\"sym\")\n", "\n", - "@partial(K.jit, static_argnums=(1,))\n", - "def d_theta_api(theta, fixed_global_phase=False):\n", + "@partial(K.jit, static_argnums=(2,))\n", + "def d_theta_api(theta, eps=1e-6, fixed_global_phase=False):\n", " if fixed_global_phase:\n", - " qng = experimental.qng2(wfn_quantum, kernel=\"dynamics\", mode=\"fwd\")\n", + " qng = experimental.qng2(wfn_quantum, kernel=\"dynamics\", postprocess=None, mode=\"fwd\")\n", " else:\n", - " qng = experimental.qng2(wfn_quantum, kernel=\"qng\", mode=\"fwd\")\n", - " A = qng(theta)\n", + " qng = experimental.qng2(wfn_quantum, kernel=\"qng\", postprocess=None, mode=\"fwd\")\n", + " A = K.real(qng(theta))\n", " # protection\n", - " A += 1e-6 * K.eye(theta.shape[-1], dtype=A.dtype)\n", + " A += eps * K.eye(theta.shape[-1], dtype=A.dtype)\n", "\n", " vag = experimental.dynamics_rhs(wfn_quantum, h)\n", " C = vag(theta)\n", @@ -848,22 +872,29 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T20:00:24.430347Z", - "start_time": "2023-07-11T20:00:24.417868500Z" + "end_time": "2023-07-13T06:55:01.610891800Z", + "start_time": "2023-07-13T06:55:01.549133100Z" } } }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 16, "outputs": [ { "data": { "text/plain": "
", - "image/png": 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" }, "metadata": {}, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1999: 0.9534459114074707\tTotal: 1922.968999862671\n" + ] } ], "source": [ @@ -879,28 +910,31 @@ "losses, losses_fgp, losses_exact = [], [], []\n", "losses_api, losses_fgp_api = [], []\n", "\n", + "eps = 1e-6\n", + "t0 = ts = time.time()\n", + "\n", "for i in range(steps_quantum):\n", " psi = wfn_quantum(theta)\n", " loss = K.real(K.conj(psi)[None, :] @ K.sparse_dense_matmul(h, psi[:, None]))[0, 0]\n", - " delta = d_theta(theta, psi)\n", + " delta = d_theta(theta, psi, eps)\n", " theta = update(theta, delta, tau_q)\n", " losses.append(loss)\n", "\n", " psi_fgp = wfn_quantum(theta_fgp)\n", " loss_fgp = K.real(K.conj(psi_fgp)[None, :] @ K.sparse_dense_matmul(h, psi_fgp[:, None]))[0, 0]\n", - " delta_fgp = d_theta(theta_fgp, psi_fgp, fixed_global_phase=True)\n", + " delta_fgp = d_theta(theta_fgp, psi_fgp, eps, fixed_global_phase=True)\n", " theta_fgp = update(theta_fgp, delta_fgp, tau_q)\n", " losses_fgp.append(loss_fgp)\n", "\n", " psi_api = wfn_quantum(theta_api)\n", " loss_api = K.real(K.conj(psi_api)[None, :] @ K.sparse_dense_matmul(h, psi_api[:, None]))[0, 0]\n", - " delta_api = d_theta_api(theta_api)\n", + " delta_api = d_theta_api(theta_api, eps)\n", " theta_api = update(theta_api, delta_api, tau_q)\n", " losses_api.append(loss_api)\n", "\n", " psi_fgp_api = wfn_quantum(theta_fgp_api)\n", " loss_fgp_api = K.real(K.conj(psi_fgp_api)[None, :] @ K.sparse_dense_matmul(h, psi_fgp_api[:, None]))[0, 0]\n", - " delta_fgp_api = d_theta_api(theta_fgp_api, fixed_global_phase=True)\n", + " delta_fgp_api = d_theta_api(theta_fgp_api, eps, fixed_global_phase=True)\n", " theta_fgp_api = update(theta_fgp_api, delta_fgp_api, tau_q)\n", " losses_fgp_api.append(loss_fgp_api)\n", "\n", @@ -909,6 +943,8 @@ " psi_exact /= K.norm(psi_exact)\n", " losses_exact.append(K.numpy(loss_exact))\n", "\n", + " eps *= 0.999\n", + "\n", " # visualise the progress\n", " clear_output(wait=True)\n", " plt.xlabel('Iteration')\n", @@ -919,7 +955,11 @@ " plt.plot(range(i + 1), losses_api, c='m', label='unfixed GP (API)')\n", " plt.plot(range(i + 1), losses_fgp_api, c='y', label='fixed GP (API)')\n", " plt.legend()\n", - " plt.show()" + " plt.show()\n", + "\n", + " te = time.time()\n", + " print(f'Epoch {i}: {te - ts}\\tTotal: {te - t0}')\n", + " ts = te" ], "metadata": { "collapsed": false @@ -937,7 +977,7 @@ { "cell_type": "markdown", "source": [ - "We first show the overlap between the final states obtained by different methods. The final states obtained by different methods are very close, which differ very little from the exact final state. Similarly, the final states obtained by the same method but with fixed and unfixed global phases have only one global phase difference." + "We first show the overlap between the final states obtained by different methods. Similar to the classical example, all final states obtained by approximate imaginary-time evolution are close to the exact final state. However, the final states obtained by the same method but with fixed and unfixed global phases are closer and have only one global phase difference." ], "metadata": { "collapsed": false @@ -945,43 +985,43 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 17, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "overlap between psi_fgp and psi\n", - "|overlap|: 0.9988745789696979\n", - "overlap: (-0.19668447544972692+0.979318968277934j)\n", + "|overlap|: 0.9946308905819007\n", + "overlap: (-0.740140807928335-0.6644412637238422j)\n", "\n", "overlap between psi_fgp_api and psi_api\n", - "|overlap|: 0.9879934153835302\n", - "overlap: (0.3603519955155164-0.9199333824626641j)\n", + "|overlap|: 0.9989073073947322\n", + "overlap: (0.027072660263567746+0.9985403746633621j)\n", "\n", "overlap between psi_api and psi\n", - "|overlap|: 0.9316780773622957\n", - "overlap: (-0.9311795508745964+0.030474314930587453j)\n", + "|overlap|: 0.9986726114097008\n", + "overlap: (-0.7188677460240553+0.6932359976993155j)\n", "\n", "overlap between psi_fgp_api and psi_fgp\n", - "|overlap|: 0.9464927401778188\n", - "overlap: (0.9373049454332234+0.13155966887970733j)\n", + "|overlap|: 0.9997543606572588\n", + "overlap: (0.9987177429478946+0.04551539930910164j)\n", "\n", "overlap between psi_exact and psi\n", - "|overlap|: 0.8929004801904091\n", - "overlap: (-0.15813235179268223+0.8787863374226859j)\n", + "|overlap|: 0.8722054344579724\n", + "overlap: (-0.6784167782997877-0.5481724134059986j)\n", "\n", "overlap between psi_exact and psi_fgp\n", - "|overlap|: 0.8933693118434571\n", - "overlap: (0.8928470335487045-0.030543444909353012j)\n", + "|overlap|: 0.8783189735765569\n", + "overlap: (0.8783163699487184-0.002138603442025992j)\n", "\n", "overlap between psi_exact and psi_api\n", - "|overlap|: 0.8290367234971434\n", - "overlap: (0.05352132993406158-0.8273072924548461j)\n", + "|overlap|: 0.8763977936851081\n", + "overlap: (0.08830490967227977+0.8719376902645599j)\n", "\n", "overlap between psi_exact and psi_fgp_api\n", - "|overlap|: 0.8521917037527431\n", - "overlap: (0.8148474344143313-0.24950823347814624j)\n" + "|overlap|: 0.8776241084735666\n", + "overlap: (0.876306874146697-0.048065976503842395j)\n" ] } ], @@ -1011,8 +1051,8 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T21:53:21.980433500Z", - "start_time": "2023-07-11T21:53:21.909960400Z" + "end_time": "2023-07-13T07:30:17.637583800Z", + "start_time": "2023-07-13T07:30:17.598679600Z" } } }, @@ -1027,7 +1067,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 18, "outputs": [ { "name": "stdout", @@ -1035,9 +1075,9 @@ "text": [ "exact ground state energy: -12.669360644773814\n", "\n", - "ground state energy by exact IME: -12.634412590497769\n", - "ground state energy: -12.4774432814582\t-12.481075889123861 (fgp)\n", - "ground state energy (API): -12.391673576863138\t-12.427648711247233 (fgp)\n" + "ground state energy by exact IME: -12.635107323414964\n", + "ground state energy: -12.455023327986686\t-12.457418138786805 (fgp)\n", + "ground state energy (API): -12.454034180766776\t-12.456395342061295 (fgp)\n" ] } ], @@ -1056,14 +1096,14 @@ "metadata": { "collapsed": false, "ExecuteTime": { - "end_time": "2023-07-11T21:53:22.388902100Z", - "start_time": "2023-07-11T21:53:21.962763600Z" + "end_time": "2023-07-13T07:30:28.049137Z", + "start_time": "2023-07-13T07:30:27.749665300Z" } } }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 12, "id": "89ed16e3", "metadata": { "collapsed": false, @@ -1071,8 +1111,8 @@ "outputs_hidden": false }, "ExecuteTime": { - "end_time": "2023-07-12T01:54:11.094124500Z", - "start_time": "2023-07-12T01:54:11.065644100Z" + "end_time": "2023-07-13T06:54:06.262972100Z", + "start_time": "2023-07-13T06:54:06.180740100Z" } }, "outputs": [ From 8c72db13f2219698c8115dfa2a21cba0450d98af Mon Sep 17 00:00:00 2001 From: PeilinZHENG Date: Thu, 13 Jul 2023 15:40:41 +0800 Subject: [PATCH 3/3] update imag_time_evo.ipynb --- docs/source/tutorials/imag_time_evo.ipynb | 18 +++--------------- 1 file changed, 3 insertions(+), 15 deletions(-) diff --git a/docs/source/tutorials/imag_time_evo.ipynb b/docs/source/tutorials/imag_time_evo.ipynb index 5d53e17d..2542b985 100644 --- a/docs/source/tutorials/imag_time_evo.ipynb +++ b/docs/source/tutorials/imag_time_evo.ipynb @@ -209,16 +209,8 @@ }, { "cell_type": "code", - "execution_count": 4, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" - ] - } - ], + "execution_count": null, + "outputs": [], "source": [ "def b2s(bit):\n", " return 1 - 2 * int(bit)\n", @@ -240,11 +232,7 @@ "Hv = construct_Ham()" ], "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2023-07-13T02:33:37.975017500Z", - "start_time": "2023-07-13T02:33:37.740165Z" - } + "collapsed": false } }, {