{ "cells": [ { "cell_type": "code", "execution_count": 5, "id": "foreign-hospital", "metadata": {}, "outputs": [], "source": [ "# This cell is added by sphinx-gallery\n", "# It can be customized to whatever you like\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "id": "intermediate-alpha", "metadata": {}, "source": [ "# Quantum Feature Maps with PennyLane\n", "\n", "Based on [Analysis and synthesis of feature map for kernel-based quantum classifier](https://arxiv.org/abs/1906.10467)" ] }, { "cell_type": "markdown", "id": "municipal-execution", "metadata": {}, "source": [ "## Main idea of feature map\n", "\n", "We want to translate our original space $\\mathbf{R}^N$ to $\\mathbf{C}^{2^N}$ Hilbert space. Main idea is to make non-separable points in the original space separable in the new space. This idea is very close to kernel-trick in classical SVM." ] }, { "cell_type": "markdown", "id": "incomplete-coffee", "metadata": {}, "source": [ "Here are two examples of non-separable data:" ] }, { "cell_type": "code", "execution_count": 1, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import matplotlib.pyplot as plt\n", "plt.style.use(\"ggplot\")\n", "from pennylane import numpy as np\n", "import pennylane as qml\n", "from sklearn.datasets import make_circles, make_moons\n" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "id": "operational-preview", "metadata": {}, "source": [ "### Circles" ] }, { "cell_type": "code", "execution_count": 6, "id": "occupational-association", "metadata": {}, "outputs": [], "source": [ "circles_points, circles_y = make_circles()" ] }, { "cell_type": "code", "execution_count": 7, "id": "international-enzyme", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(8, 7))\n", "clr = plt.scatter(circles_points[:, 0], circles_points[:, 1], c=circles_y)\n", "plt.colorbar(clr)\n", "f.show()" ] }, { "cell_type": "markdown", "id": "micro-basketball", "metadata": {}, "source": [ "### XOR" ] }, { "cell_type": "code", "execution_count": 8, "id": "political-arena", "metadata": {}, "outputs": [], "source": [ "xor_points = np.c_[\n", " np.c_[np.random.normal(-0.7, 0.05, 20), np.random.normal(-0.7, 0.05, 20)].T,\n", " np.c_[np.random.normal(0.7, 0.05, 20), np.random.normal(0.7, 0.05, 20)].T,\n", " np.c_[np.random.normal(-0.7, 0.05, 20), np.random.normal(0.7, 0.05, 20)].T,\n", " np.c_[np.random.normal(0.7, 0.05, 20), np.random.normal(-0.7, 0.05, 20)].T\n", "].T\n", "xor_y = np.c_[np.zeros(40), np.ones(40)].T" ] }, { "cell_type": "code", "execution_count": 9, "id": "suburban-bailey", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(8, 7))\n", "clr = plt.scatter(xor_points[:, 0], xor_points[:, 1], c=xor_y)\n", "plt.colorbar(clr)\n", "f.show()" ] }, { "cell_type": "markdown", "id": "exposed-reynolds", "metadata": {}, "source": [ "### Transformation of random points\n", "\n", "We will use a random distrubution of points to \"see\" how the kernel classifies data" ] }, { "cell_type": "code", "execution_count": 12, "id": "useful-narrow", "metadata": {}, "outputs": [], "source": [ "random_points = np.random.uniform(-1, 1, size=(3000, 2))" ] }, { "cell_type": "code", "execution_count": 13, "id": "parliamentary-external", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(7, 7))\n", "plt.scatter(random_points[:, 0], random_points[:, 1])\n", "f.show()" ] }, { "cell_type": "markdown", "source": [ "## 2d order Quantum Feature Map\n", "\n", "Second order Quantum Feature Map $U_{\\Phi(\\mathbf{X})}$ contains three operators $U1_{\\phi(x_1)}$, $U1_{\\phi(x_2)}$, $U1_{\\phi(x_1, x_2)}$ mixed with Hadamard gates and CNOT gates.\n", "\n", "Here $U1$ is a phase shifting gate:\n", "\n", "$$U1_\\phi = \\begin{bmatrix}1 & 0\\\\ 0 & e^{i\\phi}\\end{bmatrix}$$\n", "\n", "And function phi is the following:\n", "$$\\phi = \\begin{cases} \\phi(x_{1, 2}) = x_{1, 2}\\\\ \\phi(x_1, x_2) = \\pi x_1x_2\\end{cases}$$\n", "\n", "At first we will measure the value of $\\sigma^z\\sigma^z$ operator:\n", "$$\\sigma^z\\sigma^z = \\mathbf{Z}\\mathbf{Z} = \\begin{bmatrix}1 & 0\\\\0 & -1\\end{bmatrix} \\bigotimes \\begin{bmatrix}1 & 0\\\\0 & -1\\end{bmatrix} = \\begin{bmatrix} 1 & 0 & 0 & 0 \\\\ 0 & -1 & 0 & 0 \\\\ 0 & 0 & -1 & 0\\\\ 0 & 0 & 0 & 1\\end{bmatrix}$$" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "### Implementation in PennyLane" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 10, "outputs": [], "source": [ "dev = qml.device(\"default.qubit\", 2)" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 11, "outputs": [], "source": [ "@qml.qnode(dev)\n", "def simplest_feature_map(x1, x2):\n", " qml.Hadamard(wires=0)\n", " qml.Hadamard(wires=1)\n", "\n", " qml.U1(x1, wires=0)\n", " qml.U1(x2, wires=1)\n", "\n", " qml.Hadamard(wires=0)\n", " qml.Hadamard(wires=1)\n", "\n", " qml.CNOT(wires=[0, 1])\n", " qml.U1(np.pi * x1 * x2, wires=1)\n", " qml.CNOT(wires=[0, 1])\n", "\n", " return qml.expval(qml.PauliZ(0) @ qml.PauliZ(1))" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "id": "corporate-bruce", "metadata": {}, "source": [ "### Circuit" ] }, { "cell_type": "code", "execution_count": 77, "id": "inclusive-restoration", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0: ──H──Rϕ(-0.817)──H──╭C─────────────╭C──╭┤ ⟨Z ⊗ Z⟩ \n", " 1: ──H──Rϕ(0.917)───H──╰X──Rϕ(-2.35)──╰X──╰┤ ⟨Z ⊗ Z⟩ \n", "\n" ] } ], "source": [ "print(simplest_feature_map.draw())" ] }, { "cell_type": "markdown", "source": [ "Lets see how the simple ZZ kernel works using the random data" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 74, "outputs": [], "source": [ "zz_proj = [simplest_feature_map(x1, x2) for x1, x2 in random_points]" ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 75, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(8, 7))\n", "clbr = plt.scatter(random_points[:, 0], random_points[:, 1], c=zz_proj)\n", "plt.colorbar(clbr)\n", "f.show()" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "id": "alpine-address", "metadata": {}, "source": [ "### Solution of circles problem \n", "\n", "This behaviour seems perfect for the circles problem. We can separate circles problem with $\\mathbf{Z}\\mathbf{Z}$ simplest feature map." ] }, { "cell_type": "code", "execution_count": 94, "id": "portable-broad", "metadata": {}, "outputs": [], "source": [ "circles_proj_zz = [simplest_feature_map(x1, x2) for x1, x2 in circles_points]" ] }, { "cell_type": "code", "execution_count": 96, "id": "above-wright", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure()\n", "clbr = plt.scatter(circles_proj_zz, np.zeros_like(circles_proj_zz), c=circles_y)\n", "plt.colorbar(clbr)\n", "f.show()" ] }, { "cell_type": "markdown", "id": "potential-elizabeth", "metadata": {}, "source": [ "We can see that all the points with value of $\\mathbf{Z}\\mathbf{Z}$ projection less than $0.6$ have class $\\mathbf{0}$ and all the points with projection value greater than $0.675$ have class $\\mathbf{1}$" ] }, { "cell_type": "markdown", "id": "possible-failing", "metadata": {}, "source": [ "## Send it after class: YY-projection\n", "\n", "Implement a kernel with $\\sigma^y\\sigma^y$ operator, show its behaviour using the random dots, and apply it to the xor problem" ] }, { "cell_type": "code", "execution_count": 97, "id": "knowing-bridal", "metadata": {}, "outputs": [], "source": [ "@qml.qnode(dev)\n", "def simplest_feature_map_yy(x1, x2):\n", "#code me" ] }, { "cell_type": "code", "execution_count": 98, "id": "hydraulic-special", "metadata": {}, "outputs": [], "source": [ "yy_proj = [simplest_feature_map_yy(x1, x2) for x1, x2 in random_points]" ] }, { "cell_type": "code", "execution_count": 99, "id": "removable-reality", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(8, 7))\n", "clbr = plt.scatter(random_points[:, 0], random_points[:, 1], c=yy_proj)\n", "plt.colorbar(clbr)\n", "f.show()" ] }, { "cell_type": "markdown", "id": "defined-enemy", "metadata": {}, "source": [ "### Solution of XOR problem" ] }, { "cell_type": "code", "execution_count": 100, "id": "violent-amsterdam", "metadata": {}, "outputs": [], "source": [ "xor_proj_yy = [simplest_feature_map_yy(x1, x2) for x1, x2 in xor_points]" ] }, { "cell_type": "code", "execution_count": 101, "id": "ceramic-assumption", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure()\n", "clbr = plt.scatter(xor_proj_yy, np.zeros_like(xor_proj_yy), c=xor_y)\n", "plt.colorbar(clbr)\n", "f.show()" ] }, { "cell_type": "markdown", "id": "experimental-roberts", "metadata": {}, "source": [ "You should see that all the points with value of $\\mathbf{Y}\\mathbf{Y}$ projection less than $-0.2$ have class $\\mathbf{0}$ and all the points with projection value greater than $0.2$ have class $\\mathbf{1}$" ] }, { "cell_type": "markdown", "id": "952e4730", "metadata": {}, "source": [ "# Machine learning for quantum many-body problems\n", "\n", "\n", "Storing and processing a complete description of an $n$-qubit quantum mechanical system is challenging because the amount of memory required generally scales exponentially with the number of qubits. The quantum community has recently addressed this challenge by using the classical shadow formalism, which allows us to build more concise classical descriptions of quantum states using randomized single-qubit measurements. It was argued in H. Y. Huang, R. Kueng, G. Torlai, V. V. Albert, J. Preskill, “Provably efficient machine learning for quantum many-body problems”, arXiv:2106.12627 [quant-ph] (2021) that combining classical shadows with classical machine learning enables using learning models that efficiently predict properties of the quantum systems, such as the expectation value of a Hamiltonian, correlation functions, and entanglement entropies.\n", "\n", "![Combining machine learning and classical shadows](images/class_shadow_ml.png)\n", "\n", "In this demo, we describe one of the ideas presented in this reference for using classical shadow formalism and machine learning to predict the ground-state properties of the 2D antiferromagnetic Heisenberg model. We begin by learning how to build the Heisenberg model, calculate its ground-state properties, and compute its classical shadow. Finally, we demonstrate how to use kernel-based learning models to predict ground-state properties from the learned classical shadows. So let\\'s get started!\n", "\n", "Building the 2D Heisenberg Model\n", "--------------------------------\n", "\n", "We define a two-dimensional antiferromagnetic [Heisenberg model](https://en.wikipedia.org/wiki/Quantum_Heisenberg_model) as a square lattice, where a spin-1/2 particle occupies each site. The antiferromagnetic nature and the overall physics of this model depend on the couplings $J_{ij}$ present between the spins, as reflected in the Hamiltonian associated with the model:\n", "\n", "$$H = \\sum_{i < j} J_{ij}(X_i X_j + Y_i Y_j + Z_i Z_j) .$$\n", "\n", "Here, we consider the family of Hamiltonians where all the couplings $J_{ij}$ are sampled uniformly from \\[0, 2\\]. We build a coupling matrix $J$ by providing the number of rows $N_r$ and columns $N_c$ present in the square lattice. The dimensions of this matrix are $N_s \\times N_s$, where $N_s = N_r \\times N_c$ is the total number of spin particles present in the model.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "9b353aaf", "metadata": { "collapsed": false }, "outputs": [], "source": [ "import itertools as it\n", "import pennylane.numpy as np\n", "import numpy as anp\n", "\n", "def build_coupling_mats(num_mats, num_rows, num_cols):\n", " num_spins = num_rows * num_cols\n", " coupling_mats = np.zeros((num_mats, num_spins, num_spins))\n", " coup_terms = anp.random.RandomState(24).uniform(0, 2,\n", " size=(num_mats, 2 * num_rows * num_cols - num_rows - num_cols))\n", " # populate edges to build the grid lattice\n", " edges = [(si, sj) for (si, sj) in it.combinations(range(num_spins), 2)\n", " if sj % num_cols and sj - si == 1 or sj - si == num_cols]\n", " for itr in range(num_mats):\n", " for ((i, j), term) in zip(edges, coup_terms[itr]):\n", " coupling_mats[itr][i][j] = coupling_mats[itr][j][i] = term\n", " return coupling_mats" ] }, { "cell_type": "markdown", "id": "d6705b10", "metadata": {}, "source": [ "For this demo, we study a model with four spins arranged on the nodes of a square lattice. We require four qubits for simulating this model; one qubit for each spin. We start by building a coupling matrix `J_mat` using our previously defined function.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "0e88ff5c", "metadata": { "collapsed": false }, "outputs": [], "source": [ "Nr, Nc = 2, 2\n", "num_qubits = Nr * Nc # Ns\n", "J_mat = build_coupling_mats(1, Nr, Nc)[0]" ] }, { "cell_type": "markdown", "id": "ad094965", "metadata": {}, "source": [ "We can now visualize the model instance by representing the coupling matrix as a `networkx` graph:\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "30f47e39", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": "
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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "\n", "G = nx.from_numpy_matrix(np.matrix(J_mat), create_using=nx.DiGraph)\n", "pos = {i: (i % Nc, -(i // Nc)) for i in G.nodes()}\n", "edge_labels = {(x, y): np.round(J_mat[x, y], 2) for x, y in G.edges()}\n", "weights = [x + 1.5 for x in list(nx.get_edge_attributes(G, \"weight\").values())]\n", "\n", "plt.figure(figsize=(4, 4))\n", "nx.draw(\n", " G, pos, node_color=\"lightblue\", with_labels=True,\n", " node_size=600, width=weights, edge_color=\"firebrick\",\n", ")\n", "nx.draw_networkx_edge_labels(G, pos=pos, edge_labels=edge_labels)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5cc86b72", "metadata": {}, "source": [ "We then use the same coupling matrix `J_mat` to obtain the Hamiltonian $H$ for the model we have instantiated above.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "1eb1e74e", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hamiltonian =\n", " (0.44013459956570355) [X2 X3]\n", "+ (0.44013459956570355) [Y2 Y3]\n", "+ (0.44013459956570355) [Z2 Z3]\n", "+ (1.399024099899152) [X0 X2]\n", "+ (1.399024099899152) [Y0 Y2]\n", "+ (1.399024099899152) [Z0 Z2]\n", "+ (1.920034606671837) [X0 X1]\n", "+ (1.920034606671837) [Y0 Y1]\n", "+ (1.920034606671837) [Z0 Z1]\n", "+ (1.9997345852477584) [X1 X3]\n", "+ (1.9997345852477584) [Y1 Y3]\n", "+ (1.9997345852477584) [Z1 Z3]\n" ] } ], "source": [ "import pennylane as qml\n", "\n", "def Hamiltonian(J_mat):\n", " coeffs, ops = [], []\n", " ns = J_mat.shape[0]\n", " for i, j in it.combinations(range(ns), r=2):\n", " coeff = J_mat[i, j]\n", " if coeff:\n", " for op in [qml.PauliX, qml.PauliY, qml.PauliZ]:\n", " coeffs.append(coeff)\n", " ops.append(op(i) @ op(j))\n", " H = qml.Hamiltonian(coeffs, ops)\n", " return H\n", "\n", "print(f\"Hamiltonian =\\n{Hamiltonian(J_mat)}\")" ] }, { "cell_type": "markdown", "id": "d9b086a8", "metadata": {}, "source": [ "For the Heisenberg model, a property of interest is usually the two-body correlation function $C_{ij}$, which for a pair of spins $i$ and $j$ is defined as the following operator:\n", "\n", "$$\\hat{C}_{ij} = \\frac{1}{3} (X_i X_j + Y_iY_j + Z_iZ_j).$$\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "c4f05acc", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def corr_function(i, j):\n", " ops = []\n", " for op in [qml.PauliX, qml.PauliY, qml.PauliZ]:\n", " if i != j:\n", " ops.append(op(i) @ op(j))\n", " else:\n", " ops.append(qml.Identity(i))\n", " return ops" ] }, { "cell_type": "markdown", "id": "7cb076c5", "metadata": {}, "source": [ "The expectation value of each such operator $\\hat{C}_{ij}$ with respect to the ground state $|\\psi_{0}\\rangle$ of the model can be used to build the correlation matrix $C$:\n", "\n", "$${C}_{ij} = \\langle \\hat{C}_{ij} \\rangle = \\frac{1}{3} \\langle \\psi_{0} | X_i X_j + Y_iY_j + Z_iZ_j | \\psi_{0} \\rangle .$$\n" ] }, { "cell_type": "markdown", "id": "9c8139bd", "metadata": {}, "source": [ "Hence, to build $C$ for the model, we need to calculate its ground state $|\\psi_{0}\\rangle$. We do this by diagonalizing the Hamiltonian for the model. Then, we obtain the eigenvector corresponding to the smallest eigenvalue.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "dc7f5d32", "metadata": { "collapsed": false }, "outputs": [], "source": [ "import scipy as sp\n", "\n", "ham = Hamiltonian(J_mat)\n", "eigvals, eigvecs = sp.sparse.linalg.eigs(qml.utils.sparse_hamiltonian(ham))\n", "psi0 = eigvecs[:, np.argmin(eigvals)]" ] }, { "cell_type": "markdown", "id": "cfc363d9", "metadata": {}, "source": [ "We then build a circuit that initializes the qubits into the ground state and measures the expectation value of the provided set of observables.\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "46f86ce0", "metadata": { "collapsed": false }, "outputs": [], "source": [ "dev_exact = qml.device(\"default.qubit\", wires=num_qubits) # for exact simulation\n", "\n", "def circuit(psi, observables):\n", " psi = psi / np.linalg.norm(psi) # normalize the state\n", " qml.QubitStateVector(psi, wires=range(num_qubits))\n", " return [qml.expval(o) for o in observables]\n", "\n", "circuit_exact = qml.QNode(circuit, dev_exact)" ] }, { "cell_type": "markdown", "id": "2303963a", "metadata": {}, "source": [ "Finally, we execute this circuit to obtain the exact correlation matrix $C$. We compute the correlation operators $\\hat{C}_{ij}$ and their expectation values with respect to the ground state $|\\psi_0\\rangle$.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "a7b7806d", "metadata": { "collapsed": false }, "outputs": [], "source": [ "coups = list(it.product(range(num_qubits), repeat=2))\n", "corrs = [corr_function(i, j) for i, j in coups]\n", "\n", "def build_exact_corrmat(coups, corrs, circuit, psi):\n", " corr_mat_exact = np.zeros((num_qubits, num_qubits))\n", " for idx, (i, j) in enumerate(coups):\n", " corr = corrs[idx]\n", " if i == j:\n", " corr_mat_exact[i][j] = 1.0\n", " else:\n", " corr_mat_exact[i][j] = (\n", " np.sum(np.array([circuit(psi, observables=[o]) for o in corr]).T) / 3\n", " )\n", " corr_mat_exact[j][i] = corr_mat_exact[i][j]\n", " return corr_mat_exact\n", "\n", "expval_exact = build_exact_corrmat(coups, corrs, circuit_exact, psi0)" ] }, { "cell_type": "markdown", "id": "cb85a4f8", "metadata": {}, "source": [ "Once built, we can visualize the correlation matrix:\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "e2154be9", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "im = ax.imshow(expval_exact, cmap=plt.get_cmap(\"RdBu\"), vmin=-1, vmax=1)\n", "ax.xaxis.set_ticks(range(num_qubits))\n", "ax.yaxis.set_ticks(range(num_qubits))\n", "ax.xaxis.set_tick_params(labelsize=14)\n", "ax.yaxis.set_tick_params(labelsize=14)\n", "ax.set_title(\"Exact Correlation Matrix\", fontsize=14)\n", "\n", "bar = fig.colorbar(im, pad=0.05, shrink=0.80 )\n", "bar.set_label(r\"$C_{ij}$\", fontsize=14, rotation=0)\n", "bar.ax.tick_params(labelsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2d024040", "metadata": {}, "source": [ "Constructing Classical Shadows\n", "==============================\n" ] }, { "cell_type": "markdown", "id": "5a111c3b", "metadata": {}, "source": [ "Now that we have built the Heisenberg model, the next step is to construct a classical shadow representation for its ground state. To construct an approximate classical representation of an $n$-qubit quantum state $\\rho$, we perform randomized single-qubit measurements on $T$-copies of $\\rho$. Each measurement is chosen randomly among the Pauli bases $X$,$Y$, or $Z$ to yield random $n$ pure product states $|s_i\\rangle$ for each copy:\n", "\n", "$$|s_{i}^{(t)}\\rangle \\in \\{|0\\rangle, |1\\rangle, |+\\rangle, |-\\rangle, |i+\\rangle, |i-\\rangle\\}.$$\n", "\n", "$$S_T(\\rho) = \\big\\{|s_{i}^{(t)}\\rangle: i\\in\\{1,\\ldots, n\\},\\ t\\in\\{1,\\ldots, T\\} \\big\\}.$$\n", "\n", "Each of the $|s_i^{(t)}\\rangle$ provides us with a snapshot of the state $\\rho$, and the $nT$ measurements yield the complete set $S_{T}$, which requires just $3nT$ bits to be stored in classical memory. This is discussed in further detail in [classical shadows demo](https://pennylane.ai/qml/demos/tutorial_classical_shadows.html)\n" ] }, { "cell_type": "markdown", "id": "7d41cb3a", "metadata": {}, "source": [ "![](images/class_shadow_prep.png)\n" ] }, { "cell_type": "markdown", "id": "0ad3c02f", "metadata": {}, "source": [ "To prepare a classical shadow for the ground state of the Heisenberg model, we simply reuse the circuit template used above and reconstruct a `QNode` utilizing a device that performs single-shot measurements." ] }, { "cell_type": "code", "execution_count": 10, "id": "f002d390", "metadata": { "collapsed": false }, "outputs": [], "source": [ "dev_oshot = qml.device(\"default.qubit\", wires=num_qubits, shots=1)\n", "circuit_oshot = qml.QNode(circuit, dev_oshot)" ] }, { "cell_type": "markdown", "id": "de1dabf8", "metadata": {}, "source": [ "Now, we define a function to build the classical shadow for the quantum state prepared by a given $n$-qubit circuit using $T$-copies of randomized Pauli basis measurements\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "87c68204", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "First five measurement outcomes =\n", " [[ 1. 1. -1. -1.]\n", " [ 1. -1. -1. 1.]\n", " [ 1. -1. -1. -1.]\n", " [-1. 1. 1. 1.]\n", " [-1. -1. -1. -1.]]\n", "First five measurement bases =\n", " [[2 1 0 2]\n", " [1 2 2 1]\n", " [2 2 1 0]\n", " [2 2 2 1]\n", " [0 2 2 0]]\n" ] } ], "source": [ "def gen_class_shadow(circ_template, circuit_params, num_shadows, num_qubits):\n", " # prepare the complete set of available Pauli operators\n", " unitary_ops = [qml.PauliX, qml.PauliY, qml.PauliZ]\n", " # sample random Pauli measurements uniformly\n", " unitary_ensmb = np.random.randint(0, 3, size=(num_shadows, num_qubits), dtype=int)\n", "\n", " outcomes = np.zeros((num_shadows, num_qubits))\n", " for ns in range(num_shadows):\n", " # for each snapshot, extract the Pauli basis measurement to be performed\n", " meas_obs = [unitary_ops[unitary_ensmb[ns, i]](i) for i in range(num_qubits)]\n", " # perform single shot randomized Pauli measuremnt for each qubit\n", " outcomes[ns, :] = circ_template(circuit_params, observables=meas_obs)\n", "\n", " return outcomes, unitary_ensmb\n", "\n", "\n", "outcomes, basis = gen_class_shadow(circuit_oshot, psi0, 100, num_qubits)\n", "print(\"First five measurement outcomes =\\n\", outcomes[:5])\n", "print(\"First five measurement bases =\\n\", basis[:5])" ] }, { "cell_type": "markdown", "id": "625054a9", "metadata": {}, "source": [ "Furthermore, $S_{T}$ can be used to construct an approximation of the\n", "underlying $n$-qubit state $\\rho$ by averaging over $\\sigma_t$:\n", "\n", "$$\\sigma_T(\\rho) = \\frac{1}{T} \\sum_{1}^{T} \\big(3|s_{1}^{(t)}\\rangle\\langle s_1^{(t)}| - \\mathbb{I}\\big)\\otimes \\ldots \\otimes \\big(3|s_{n}^{(t)}\\rangle\\langle s_n^{(t)}| - \\mathbb{I}\\big).$$\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "2b2e8fcc", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def snapshot_state(meas_list, obs_list):\n", " # undo the rotations done for performing Pauli measurements in the specific basis\n", " rotations = [\n", " qml.matrix(qml.Hadamard(wires=0)), # X-basis\n", " qml.matrix(qml.Hadamard(wires=0)) @ qml.matrix(qml.adjoint(qml.S(wires=0))), # Y-basis\n", " qml.matrix(qml.Identity(wires=0)), # Z-basis\n", " ]\n", "\n", " # reconstruct snapshot from local Pauli measurements\n", " rho_snapshot = [1]\n", " for meas_out, basis in zip(meas_list, obs_list):\n", " # preparing state |s_i><0| for 1 and |1><1| for -1\n", " state = np.array([[1, 0], [0, 0]]) if meas_out == 1 else np.array([[0, 0], [0, 1]])\n", " local_rho = 3 * (rotations[basis].conj().T @ state @ rotations[basis]) - np.eye(2)\n", " rho_snapshot = np.kron(rho_snapshot, local_rho)\n", "\n", " return rho_snapshot\n", "\n", "def shadow_state_reconst(shadow):\n", " num_snapshots, num_qubits = shadow[0].shape\n", " meas_lists, obs_lists = shadow\n", "\n", " # Reconstruct the quantum state from its classical shadow\n", " shadow_rho = np.zeros((2 ** num_qubits, 2 ** num_qubits), dtype=complex)\n", " for i in range(num_snapshots):\n", " shadow_rho += snapshot_state(meas_lists[i], obs_lists[i])\n", "\n", " return shadow_rho / num_snapshots" ] }, { "cell_type": "markdown", "id": "fa93b914", "metadata": {}, "source": [ "To see how well the reconstruction works for different values of $T$, we look at the [fidelity](https://en.wikipedia.org/wiki/Fidelity_of_quantum_states) of the actual quantum state with respect to the reconstructed quantum state\n", "from the classical shadow with $T$ copies. On average, as the number of copies $T$ is increased, the reconstruction becomes more effective with average higher fidelity values (orange) and lower variance (blue). Eventually, in the limit $T\\rightarrow\\infty$, the reconstruction will be exact.\n", "\n", "![Fidelity of the reconstructed ground state with different shadow sizes\n", "$T$](images/fidel_snapshot.png)\n" ] }, { "cell_type": "markdown", "id": "05d88e73", "metadata": {}, "source": [ "The reconstructed quantum state $\\sigma_T$ can also be used to evaluate expectation values $\\text{Tr}(O\\sigma_T)$ for some localized observable $O = \\bigotimes_{i}^{n} P_i$, where $P_i \\in \\{I, X, Y, Z\\}$. However, as shown above, $\\sigma_T$ would be only an approximation of $\\rho$ for finite values of $T$. Therefore, to estimate $\\langle O \\rangle$ robustly, we use the median of means estimation. For this purpose, we split up the $T$ shadows into $K$ equally-sized groups and evaluate the median of the mean value of $\\langle O \\rangle$ for each of these groups.\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "888669fc", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def estimate_shadow_obs(shadow, observable, k=10):\n", " shadow_size = shadow[0].shape[0]\n", "\n", " # convert Pennylane observables to indices\n", " map_name_to_int = {\"PauliX\": 0, \"PauliY\": 1, \"PauliZ\": 2}\n", " if isinstance(observable, (qml.PauliX, qml.PauliY, qml.PauliZ)):\n", " target_obs = np.array([map_name_to_int[observable.name]])\n", " target_locs = np.array([observable.wires[0]])\n", " else:\n", " target_obs = np.array([map_name_to_int[o.name] for o in observable.obs])\n", " target_locs = np.array([o.wires[0] for o in observable.obs])\n", "\n", " # perform median of means to return the result\n", " means = []\n", " meas_list, obs_lists = shadow\n", " for i in range(0, shadow_size, shadow_size // k):\n", " meas_list_k, obs_lists_k = (\n", " meas_list[i : i + shadow_size // k],\n", " obs_lists[i : i + shadow_size // k],\n", " )\n", " indices = np.all(obs_lists_k[:, target_locs] == target_obs, axis=1)\n", " if sum(indices):\n", " means.append(\n", " np.sum(np.prod(meas_list_k[indices][:, target_locs], axis=1)) / sum(indices)\n", " )\n", " else:\n", " means.append(0)\n", "\n", " return np.median(means)" ] }, { "cell_type": "markdown", "id": "73f19131", "metadata": {}, "source": [ "Now we estimate the correlation matrix $C^{\\prime}$ from the classical shadow approximation of the ground state.\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "31c4eca0", "metadata": { "collapsed": false }, "outputs": [], "source": [ "coups = list(it.product(range(num_qubits), repeat=2))\n", "corrs = [corr_function(i, j) for i, j in coups]\n", "qbobs = [qob for qobs in corrs for qob in qobs]\n", "\n", "def build_estim_corrmat(coups, corrs, num_obs, shadow):\n", " k = int(2 * np.log(2 * num_obs)) # group size\n", " corr_mat_estim = np.zeros((num_qubits, num_qubits))\n", " for idx, (i, j) in enumerate(coups):\n", " corr = corrs[idx]\n", " if i == j:\n", " corr_mat_estim[i][j] = 1.0\n", " else:\n", " corr_mat_estim[i][j] = (\n", " np.sum(np.array([estimate_shadow_obs(shadow, o, k=k+1) for o in corr])) / 3\n", " )\n", " corr_mat_estim[j][i] = corr_mat_estim[i][j]\n", " return corr_mat_estim\n", "\n", "shadow = gen_class_shadow(circuit_oshot, psi0, 1000, num_qubits)\n", "expval_estmt = build_estim_corrmat(coups, corrs, len(qbobs), shadow)" ] }, { "cell_type": "markdown", "id": "3537aa13", "metadata": {}, "source": [ "This time, let us visualize the deviation observed between the exact correlation matrix ($C$) and the estimated correlation matrix ($C^{\\prime}$) to assess the effectiveness of classical shadow formalism.\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "54083b14", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": "
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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(4.2, 4))\n", "im = ax.imshow(expval_exact-expval_estmt, cmap=plt.get_cmap(\"RdBu\"), vmin=-1, vmax=1)\n", "ax.xaxis.set_ticks(range(num_qubits))\n", "ax.yaxis.set_ticks(range(num_qubits))\n", "ax.xaxis.set_tick_params(labelsize=14)\n", "ax.yaxis.set_tick_params(labelsize=14)\n", "ax.set_title(\"Error in estimating the\\ncorrelation matrix\", fontsize=14)\n", "\n", "bar = fig.colorbar(im, pad=0.05, shrink=0.80)\n", "bar.set_label(r\"$\\Delta C_{ij}$\", fontsize=14, rotation=0)\n", "bar.ax.tick_params(labelsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f9ec713c", "metadata": {}, "source": [ "Training Classical Machine Learning Models\n", "==========================================\n" ] }, { "cell_type": "markdown", "id": "3e9579f7", "metadata": {}, "source": [ "There are multiple ways in which we can combine classical shadows and machine learning. This could include training a model to learn the classical representation of quantum systems based on some system parameter, estimating a property from such learned classical representations, or a combination of both. In our case, we consider the problem of using kernel-based models to learn the ground-state representation of the Heisenberg model Hamiltonian $H(x_l)$ from the coupling vector $x_l$, where $x_l = [J_{i,j} \\text{ for } i < j]$. The goal is to predict the correlation functions $C_{ij}$:\n", "\n", "$$\\big\\{x_l \\rightarrow \\sigma_T(\\rho(x_l)) \\rightarrow \\text{Tr}(\\hat{C}_{ij} \\sigma_T(\\rho(x_l))) \\big\\}_{l=1}^{N}.$$\n", "\n", "Here, we consider the following kernel-based machine learning model A. Jacot, F. Gabriel, and C. Hongler. “Neural tangent kernel: Convergence and generalization in neural networks”. NeurIPS, 8571–8580 (2018):\n", "\n", "$$\\hat{\\sigma}_{N} (x) = \\sum_{l=1}^{N} \\kappa(x, x_l)\\sigma_T (x_l) = \\sum_{l=1}^{N} \\left(\\sum_{l^{\\prime}=1}^{N} k(x, x_{l^{\\prime}})(K+\\lambda I)^{-1}_{l, l^{\\prime}} \\sigma_T(x_l) \\right),$$\n", "\n", "where $\\lambda > 0$ is a regularization parameter in cases when $K$ is not invertible, $\\sigma_T(x_l)$ denotes the classical representation of the ground state $\\rho(x_l)$ of the Heisenberg model constructed using $T$ randomized Pauli measurements, and $K_{ij}=k(x_i, x_j)$ is the kernel matrix with $k(x, x^{\\prime})$ as the kernel function.\n", "\n", "Similarly, estimating an expectation value on the predicted ground state $\\sigma_T(x_l)$ using the trained model can then be done by evaluating:\n", "\n", "$$\\text{Tr}(\\hat{O} \\hat{\\sigma}_{N} (x)) = \\sum_{l=1}^{N} \\kappa(x, x_l)\\text{Tr}(O\\sigma_T (x_l)).$$\n", "\n", "We train the classical kernel-based models using $N = 70$ randomly chosen values of the coupling matrices $J$.\n" ] }, { "cell_type": "code", "execution_count": 16, "id": "740ae6af", "metadata": { "collapsed": false }, "outputs": [], "source": [ "# imports for ML methods and techniques\n", "from sklearn.model_selection import train_test_split, cross_val_score\n", "from sklearn import svm\n", "from sklearn.kernel_ridge import KernelRidge" ] }, { "cell_type": "markdown", "id": "844ca832", "metadata": {}, "source": [ "First, to build the dataset, we use the function `build_dataset` that takes as input the size of the dataset (`num_points`), the topology of the lattice (`Nr` and `Nc`), and the number of randomized Pauli measurements ($T$) for the construction of classical shadows. The `X_data` is the set of coupling vectors that are defined as a stripped version of the coupling matrix $J$, where only non-duplicate and non-zero $J_{ij}$ are considered. The `y_exact` and `y_clean` are the set of correlation vectors, i.e., the flattened correlation matrix $C$, computed with respect to the ground-state obtained from exact diagonalization and classical shadow representation (with $T=500$),\n", "respectively.\n" ] }, { "cell_type": "code", "execution_count": 19, "id": "23edc323", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": "((100, 4), (100, 16), (100, 16))" }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "((100, 4), (100, 16), (100, 16))" }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": "((100, 4), (100, 16), (100, 16))" }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def build_dataset(num_points, Nr, Nc, T=500):\n", "\n", " num_qubits = Nr * Nc\n", " X, y_exact, y_estim = [], [], []\n", " coupling_mats = build_coupling_mats(num_points, Nr, Nc)\n", "\n", " for coupling_mat in coupling_mats:\n", " ham = Hamiltonian(coupling_mat)\n", " eigvals, eigvecs = sp.sparse.linalg.eigs(qml.utils.sparse_hamiltonian(ham))\n", " psi = eigvecs[:, np.argmin(eigvals)]\n", " shadow = gen_class_shadow(circuit_oshot, psi, T, num_qubits)\n", "\n", " coups = list(it.product(range(num_qubits), repeat=2))\n", " corrs = [corr_function(i, j) for i, j in coups]\n", " qbobs = [x for sublist in corrs for x in sublist]\n", "\n", " expval_exact = build_exact_corrmat(coups, corrs, circuit_exact, psi)\n", " expval_estim = build_estim_corrmat(coups, corrs, len(qbobs), shadow)\n", "\n", " coupling_vec = []\n", " for coup in coupling_mat.reshape(1, -1)[0]:\n", " if coup and coup not in coupling_vec:\n", " coupling_vec.append(coup)\n", " coupling_vec = np.array(coupling_vec) / np.linalg.norm(coupling_vec)\n", "\n", " X.append(coupling_vec)\n", " y_exact.append(expval_exact.reshape(1, -1)[0])\n", " y_estim.append(expval_estim.reshape(1, -1)[0])\n", "\n", " return np.array(X), np.array(y_exact), np.array(y_estim)\n", "\n", "X, y_exact, y_estim = build_dataset(100, Nr, Nc, 500)\n", "X_data, y_data = X, y_estim\n", "X_data.shape, y_data.shape, y_exact.shape" ] }, { "cell_type": "markdown", "id": "07ed4576", "metadata": {}, "source": [ "Now that our dataset is ready, we can shift our focus to the ML models. Here, we use two different Kernel functions: (i) Gaussian Kernel and (ii) Neural Tangent Kernel. For both of them, we consider the regularization parameter $\\lambda$ from the following set of values:\n", "\n", "$$\\lambda = \\left\\{ 0.0025, 0.0125, 0.025, 0.05, 0.125, 0.25, 0.5, 1.0, 5.0, 10.0 \\right\\}.$$\n", "\n", "Next, we define the kernel functions $k(x, x^{\\prime})$ for each of the mentioned kernels:\n" ] }, { "cell_type": "markdown", "id": "a22caa70", "metadata": {}, "source": [ "Gaussian Kernel:\n", "\n", "$$k(x, x^{\\prime}) = e^{-\\gamma||x - x^{\\prime}||^{2}_{2}}. $$\n", "\n", "For the Gaussian kernel, the hyperparameter $\\gamma = N^{2}/\\sum_{i=1}^{N} \\sum_{j=1}^{N} ||x_i-x_j||^{2}_{2} > 0$ is chosen to be the inverse of the average Euclidean distance $x_i$ and $x_j$. The kernel is implemented using the radial-basis function (rbf) kernel in the `sklearn` library.\n" ] }, { "cell_type": "markdown", "id": "fe0ce8bc", "metadata": {}, "source": [ "Neural Tangent Kernel:\n", "\n", "$$k(x, x^{\\prime}) = k^{\\text{NTK}}(x, x^{\\prime}). $$\n", "\n", "The neural tangent kernel $k^{\\text{NTK}}$ used here is equivalent to an infinite-width feed-forward neural network with four hidden layers and that uses the rectified linear unit (ReLU) as the activation function. This is implemented using the `neural_tangents` library.\n" ] }, { "cell_type": "code", "execution_count": 20, "id": "9ed4f699", "metadata": { "collapsed": false }, "outputs": [ { "ename": "ModuleNotFoundError", "evalue": "No module named 'neural_tangents'", "output_type": "error", "traceback": [ "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m", "\u001B[0;31mModuleNotFoundError\u001B[0m Traceback (most recent call last)", "Input \u001B[0;32mIn [20]\u001B[0m, in \u001B[0;36m\u001B[0;34m()\u001B[0m\n\u001B[0;32m----> 1\u001B[0m \u001B[38;5;28;01mfrom\u001B[39;00m \u001B[38;5;21;01mneural_tangents\u001B[39;00m \u001B[38;5;28;01mimport\u001B[39;00m stax\n\u001B[1;32m 2\u001B[0m init_fn, apply_fn, kernel_fn \u001B[38;5;241m=\u001B[39m stax\u001B[38;5;241m.\u001B[39mserial(\n\u001B[1;32m 3\u001B[0m stax\u001B[38;5;241m.\u001B[39mDense(\u001B[38;5;241m32\u001B[39m),\n\u001B[1;32m 4\u001B[0m stax\u001B[38;5;241m.\u001B[39mRelu(),\n\u001B[0;32m (...)\u001B[0m\n\u001B[1;32m 11\u001B[0m stax\u001B[38;5;241m.\u001B[39mDense(\u001B[38;5;241m1\u001B[39m),\n\u001B[1;32m 12\u001B[0m )\n\u001B[1;32m 13\u001B[0m kernel_NN \u001B[38;5;241m=\u001B[39m kernel_fn(X_data, X_data, \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mntk\u001B[39m\u001B[38;5;124m\"\u001B[39m)\n", "\u001B[0;31mModuleNotFoundError\u001B[0m: No module named 'neural_tangents'" ] } ], "source": [ "from neural_tangents import stax\n", "init_fn, apply_fn, kernel_fn = stax.serial(\n", " stax.Dense(32),\n", " stax.Relu(),\n", " stax.Dense(32),\n", " stax.Relu(),\n", " stax.Dense(32),\n", " stax.Relu(),\n", " stax.Dense(32),\n", " stax.Relu(),\n", " stax.Dense(1),\n", ")\n", "kernel_NN = kernel_fn(X_data, X_data, \"ntk\")\n", "\n", "for i in range(len(kernel_NN)):\n", " for j in range(len(kernel_NN)):\n", " kernel_NN.at[i, j].set((kernel_NN[i][i] * kernel_NN[j][j]) ** 0.5)" ] }, { "cell_type": "markdown", "id": "369ea833", "metadata": {}, "source": [ "For the above two defined kernel methods, we obtain the best learning model by performing hyperparameter tuning using cross-validation for the prediction task of each $C_{ij}$. For this purpose, we implement the function `fit_predict_data`, which takes input as the correlation function index `cij`, kernel matrix `kernel`, and internal kernel mapping `opt` required by the kernel-based regression models from the `sklearn` library.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "5fec95c8", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.metrics import mean_squared_error\n", "\n", "def fit_predict_data(cij, kernel, opt=\"linear\"):\n", "\n", " # training data (estimated from measurement data)\n", " y = np.array([y_estim[i][cij] for i in range(len(X_data))])\n", " X_train, X_test, y_train, y_test = train_test_split(\n", " kernel, y, test_size=0.3, random_state=24\n", " )\n", "\n", " # testing data (exact expectation values)\n", " y_clean = np.array([y_exact[i][cij] for i in range(len(X_data))])\n", " _, _, _, y_test_clean = train_test_split(kernel, y_clean, test_size=0.3, random_state=24)\n", "\n", " # hyperparameter tuning with cross validation\n", " models = [\n", " # Epsilon-Support Vector Regression\n", " (lambda Cx: svm.SVR(kernel=opt, C=Cx, epsilon=0.1)),\n", " # Kernel-Ridge based Regression\n", " (lambda Cx: KernelRidge(kernel=opt, alpha=1 / (2 * Cx))),\n", " ]\n", "\n", " # Regularization parameter\n", " hyperparams = [0.0025, 0.0125, 0.025, 0.05, 0.125, 0.25, 0.5, 1.0, 5.0, 10.0]\n", " best_pred, best_cv_score, best_test_score = None, np.inf, np.inf\n", " for model in models:\n", " for hyperparam in hyperparams:\n", " cv_score = -np.mean(\n", " cross_val_score(\n", " model(hyperparam), X_train, y_train, cv=5,\n", " scoring=\"neg_root_mean_squared_error\",\n", " )\n", " )\n", " if best_cv_score > cv_score:\n", " best_model = model(hyperparam).fit(X_train, y_train)\n", " best_pred = best_model.predict(X_test)\n", " best_cv_score = cv_score\n", " best_test_score = mean_squared_error(\n", " best_model.predict(X_test).ravel(), y_test_clean.ravel(), squared=False\n", " )\n", "\n", " return (\n", " best_pred, y_test_clean, np.round(best_cv_score, 5), np.round(best_test_score, 5)\n", " )" ] }, { "cell_type": "markdown", "id": "63a483ed", "metadata": {}, "source": [ "We perform the fitting and prediction for each $C_{ij}$ and print the\n", "output in a tabular format.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "37aaed0d", "metadata": { "collapsed": false }, "outputs": [], "source": [ "kernel_list = [\"Gaussian kernel\", \"Neural Tangent kernel\"]\n", "kernel_data = np.zeros((num_qubits ** 2, len(kernel_list), 2))\n", "y_predclean, y_predicts1, y_predicts2 = [], [], []\n", "\n", "for cij in range(num_qubits ** 2):\n", " y_predict, y_clean, cv_score, test_score = fit_predict_data(cij, X_data, opt=\"rbf\")\n", " y_predclean.append(y_clean)\n", " kernel_data[cij][0] = (cv_score, test_score)\n", " y_predicts1.append(y_predict)\n", " y_predict, y_clean, cv_score, test_score = fit_predict_data(cij, kernel_NN)\n", " kernel_data[cij][1] = (cv_score, test_score)\n", " y_predicts2.append(y_predict)\n", "\n", "# For each C_ij print (best_cv_score, test_score) pair\n", "row_format = \"{:>25}{:>35}{:>35}\"\n", "print(row_format.format(\"Correlation\", *kernel_list))\n", "for idx, data in enumerate(kernel_data):\n", " print(\n", " row_format.format(\n", " f\"\\t C_{idx//num_qubits}{idx%num_qubits} \\t| \",\n", " str(data[0]),\n", " str(data[1]),\n", " )\n", " )" ] }, { "cell_type": "markdown", "id": "45ec214d", "metadata": {}, "source": [ "Overall, we find that the models with the Gaussian kernel performed\n", "better than those with NTK for predicting the expectation value of the\n", "correlation function $C_{ij}$ for the ground state of the Heisenberg\n", "model. However, the best choice of $\\lambda$ differed substantially\n", "across the different $C_{ij}$ for both kernels. We present the predicted\n", "correlation matrix $C^{\\prime}$ for randomly selected Heisenberg models\n", "from the test set below for comparison against the actual correlation\n", "matrix $C$, which is obtained from the ground state found using exact\n", "diagonalization.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "de85dd7f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "fig, axes = plt.subplots(3, 3, figsize=(14, 14))\n", "corr_vals = [y_predclean, y_predicts1, y_predicts2]\n", "plt_plots = [1, 14, 25]\n", "\n", "cols = [\n", " \"From {}\".format(col)\n", " for col in [\"Exact Diagonalization\", \"Gaussian Kernel\", \"Neur. Tang. Kernel\"]\n", "]\n", "rows = [\"Model {}\".format(row) for row in plt_plots]\n", "\n", "for ax, col in zip(axes[0], cols):\n", " ax.set_title(col, fontsize=18)\n", "\n", "for ax, row in zip(axes[:, 0], rows):\n", " ax.set_ylabel(row, rotation=90, fontsize=24)\n", "\n", "for itr in range(3):\n", " for idx, corr_val in enumerate(corr_vals):\n", " shw = axes[itr][idx].imshow(\n", " np.array(corr_vals[idx]).T[plt_plots[itr]].reshape(Nr * Nc, Nr * Nc),\n", " cmap=plt.get_cmap(\"RdBu\"), vmin=-1, vmax=1,\n", " )\n", " axes[itr][idx].xaxis.set_ticks(range(Nr * Nc))\n", " axes[itr][idx].yaxis.set_ticks(range(Nr * Nc))\n", " axes[itr][idx].xaxis.set_tick_params(labelsize=18)\n", " axes[itr][idx].yaxis.set_tick_params(labelsize=18)\n", "\n", "fig.subplots_adjust(right=0.86)\n", "cbar_ax = fig.add_axes([0.90, 0.15, 0.015, 0.71])\n", "bar = fig.colorbar(shw, cax=cbar_ax)\n", "\n", "bar.set_label(r\"$C_{ij}$\", fontsize=18, rotation=0)\n", "bar.ax.tick_params(labelsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0858a33f", "metadata": {}, "source": [ "## Send it after class:\n", "\n", "Study the effect of the size of training data $N$ and the number of Pauli measurements $T$ for each Kernel you have seen. Calculate the average root-mean-square error (RMSE) in prediction for each kernel over all two-point correlation functions $C_{ij}$. How does the performance improvement change as $N$ and $T$ increases?\n" ] }, { "cell_type": "markdown", "id": "47a907f0", "metadata": {}, "source": [ "Conclusion\n", "==========\n", "\n", "This demo illustrates how classical machine learning models can benefit from the classical shadow formalism for learning characteristics and predicting the behavior of quantum systems. As argued in H. Y. Huang, R. Kueng, G. Torlai, V. V. Albert, J. Preskill, “Provably efficient machine learning for quantum many-body problems”, arXiv:2106.12627 [quant-ph] (2021), this raises the possibility that models trained on experimental or quantum data data can effectively address quantum many-body problems that cannot be solved using classical methods alone.\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 5 }