{
"cells": [
{
"cell_type": "markdown",
"id": "e031ea97-c3ad-4dba-86c3-da987bc74bac",
"metadata": {},
"source": [
"# Probing Many-body Localization by Excited-state VQE"
]
},
{
"cell_type": "markdown",
"id": "9d4c6e64-fb07-4f9e-8a87-edbb530c994a",
"metadata": {},
"source": [
"## Overview"
]
},
{
"cell_type": "markdown",
"id": "048ab39c-c19e-4def-b803-05ba7ca0d4e0",
"metadata": {},
"source": [
"This tutorial introduces a new method to probe many-body localization (MBL) by excited-state VQE. The model hosting MBL transition considered here is the interacting Aubry-Andr$\\acute{e}$ model which reads:\n",
"$$\n",
"H=\\sum_{i}(\\sigma^{x}_{i}\\sigma^{x}_{i+1}+\\sigma^{y}_{i}\\sigma^{y}_{i+1} +V_{0}\\sigma_{i}^{z} \\sigma_{i+1}^{z} ) \\\\\n",
"+W_{0} \\sum_{i=1}^L \\cos(2 \\pi \\eta i+\\phi) \\sigma_{i}^{z},\n",
"$$\n",
"where $\\sigma^{x,y,z}_{i}$ are Pauli matrices of the $i$-th qubit, $L$ is the number of total qubits, $V_{0}$ is the $zz$ interaction strength, $W$ is the strength of quasi-periodic (QP) potential and $\\phi$ is the phase of the cosine potential. We set $V_{0}=0.5$ and $\\eta=(\\sqrt{5}-1)/2$. When $W$ is large, the system enters the MBL phase and exhibits exotic behaviors, such as \"area law\" entanglement for highly excited states."
]
},
{
"cell_type": "markdown",
"id": "8fe541ab-3e95-4d37-8133-980a58cc6219",
"metadata": {},
"source": [
"## Setup"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "9e52eedc-4df2-4a15-be14-4a71b4d258e3",
"metadata": {},
"outputs": [],
"source": [
"import time\n",
"import numpy as np\n",
"import tensorflow as tf\n",
"import tensorcircuit as tc"
]
},
{
"cell_type": "markdown",
"id": "e8a93222-4c14-4cdd-8f5f-f14ae6022f20",
"metadata": {},
"source": [
"You can define different gates easily in ``TensorCircuit``."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "61441c18-af51-4a7a-a9d2-68040883d104",
"metadata": {},
"outputs": [],
"source": [
"tc.set_backend(\"tensorflow\")\n",
"tc.set_dtype(\"complex128\")\n",
"dtype = np.complex128\n",
"\n",
"ii = tc.gates._ii_matrix\n",
"xx = tc.gates._xx_matrix\n",
"yy = tc.gates._yy_matrix\n",
"zz = tc.gates._zz_matrix"
]
},
{
"cell_type": "markdown",
"id": "db362fa3",
"metadata": {},
"source": [
"Note: The implementation in this tutorial is fixed to the ``TensorFlow`` backend. One can use the APIs of ``TensorCircuit`` and the APIs of ``TensorFlow`` seamlessly and freely, and the automatic differential and the JIT compilation will not be influenced."
]
},
{
"cell_type": "markdown",
"id": "8208232a-67fd-46b6-8147-acf77b85befb",
"metadata": {},
"source": [
"### Parameters"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "02b90a25-eff9-4547-8926-360f11a647d3",
"metadata": {},
"outputs": [],
"source": [
"L = 4\n",
"V0 = 0.5\n",
"W0 = [1.0, 10.0] # W0=1.0: thermal phase; W0=10.0: MBL phase\n",
"η = (np.sqrt(5) - 1) / 2\n",
"ϕ = 0.1\n",
"\n",
"num_trial = 5 # The number of independent trials\n",
"depth = 1 # The depth of the PQC\n",
"θ0 = np.pi / 5.0 # The rotation angle of the input state"
]
},
{
"cell_type": "markdown",
"id": "56e733c1-084b-4173-a062-132363ca7340",
"metadata": {},
"source": [
"### Construct Circuit"
]
},
{
"cell_type": "markdown",
"id": "b775d2f1-4040-48f9-9b00-3f429a2ad9a8",
"metadata": {},
"source": [
"The circuit structure for the excited-state VQE and eigenstate witness measurement. Here $U_{0}(\\theta)= \\rm{exp}(\\frac{i\\theta}{2}(\\sigma^{x} \\otimes \\sigma^{x} + \\sigma^{y} \\otimes \\sigma^{y}))$."
]
},
{
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"
}
},
"cell_type": "markdown",
"id": "26e338b3-7b81-4a9e-ab7e-786b1662b129",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "e3fe508e-4d93-479c-9214-d0d1a9121973",
"metadata": {},
"outputs": [],
"source": [
"@tf.function\n",
"def get_ρ_circuit(v, epochs=2):\n",
" c = tc.DMCircuit(L)\n",
"\n",
" ### Part I: the input-state preparation quantum circuit\n",
" ### prepare an antiferromagnetic (AF) state (|0101...>) from the initial state |0000...>\n",
" ### and the system will stay in Mz=0 sector due to U(1) symmetry\n",
" for i in range(L):\n",
" if i % 2 == 1:\n",
" c.ry(i, theta=tf.cast(np.pi, dtype=dtype))\n",
"\n",
" ### prepare input state\n",
" for i in range(L):\n",
" c.any(\n",
" i,\n",
" (i + 1) % L,\n",
" unitary=0.5 * tf.math.cos(tf.cast(θ0, dtype=dtype)) * (ii - zz)\n",
" + 0.5 * (ii + zz)\n",
" + 0.5 * tc.backend.i() * tf.math.sin(tf.cast(θ0, dtype=dtype)) * (xx + yy),\n",
" ) ### U_{0}(θ)\n",
" ### Part II: the parameterized quantum circuit (PQC): optimize the parameters based on gradient descent\n",
" for epoch in range(epochs):\n",
" for i in range(L):\n",
" c.any(\n",
" i,\n",
" (i + 1) % L,\n",
" unitary=0.5\n",
" * tf.math.cos(tf.cast(v[2 * epoch, i], dtype=dtype))\n",
" * (ii - zz)\n",
" + 0.5 * (ii + zz)\n",
" + 0.5\n",
" * tc.backend.i()\n",
" * tf.math.sin(tf.cast(v[2 * epoch, i], dtype=dtype))\n",
" * (xx + yy),\n",
" ) ### U_{0}(θ)\n",
"\n",
" for i in range(L):\n",
" c.rz(i, theta=tf.cast(v[2 * epoch + 1, i], dtype=dtype))\n",
" ρ = c.densitymatrix()\n",
" return ρ"
]
},
{
"cell_type": "markdown",
"id": "9bf24d43-7ebc-4e7b-a394-02cbe0bdc61c",
"metadata": {},
"source": [
"### Construct Hamiltonian"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "7280b968-902a-4e02-b2a2-9d5aa5be63d5",
"metadata": {},
"outputs": [],
"source": [
"def get_hamiltonian(W0):\n",
" h = []\n",
" w = []\n",
" ###XX\n",
" for i in range(L):\n",
" h.append([])\n",
" w.append(1.0)\n",
" for j in range(L):\n",
" if j == (i + 1) % L or j == i:\n",
" h[i].append(1)\n",
" else:\n",
" h[i].append(0)\n",
" ###YY\n",
" for i in range(L):\n",
" h.append([])\n",
" w.append(1.0)\n",
" for j in range(L):\n",
" if j == (i + 1) % L or j == i:\n",
" h[i + L].append(2)\n",
" else:\n",
" h[i + L].append(0)\n",
" ###ZZ\n",
" for i in range(L):\n",
" h.append([])\n",
" w.append(V0)\n",
" for j in range(L):\n",
" if j == (i + 1) % L or j == i:\n",
" h[i + 2 * L].append(3)\n",
" else:\n",
" h[i + 2 * L].append(0)\n",
" ###potential\n",
" for i in range(L):\n",
" h.append([])\n",
" w.append(W0 * np.cos(2 * np.pi * η * i + ϕ))\n",
" for j in range(L):\n",
" if j == i:\n",
" h[i + 3 * L].append(3)\n",
" else:\n",
" h[i + 3 * L].append(0)\n",
"\n",
" hamiltonian = tc.quantum.PauliStringSum2Dense(\n",
" tf.constant(h, dtype=tf.complex128), tf.constant(w, dtype=tf.complex128)\n",
" )\n",
" return hamiltonian"
]
},
{
"cell_type": "markdown",
"id": "36480148-94e8-4c0b-bcda-c2f7cee66dad",
"metadata": {},
"source": [
"### Loss Function"
]
},
{
"cell_type": "markdown",
"id": "861e1ca2-a786-41da-9410-88a3260a66d5",
"metadata": {},
"source": [
"The loss function used here is the energy variance that vanishes for eigenstates:\n",
"$$\n",
"C(\\theta) = \\langle H^{2} \\rangle - \\langle H \\rangle ^2 \n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "67f4b657-43ab-4d12-bda9-cbbb27a22583",
"metadata": {},
"outputs": [],
"source": [
"@tf.function\n",
"def variance_loss(hamiltonian, v, epochs=2):\n",
" with tf.GradientTape() as tape:\n",
" tape.watch(v)\n",
" ρ = get_ρ_circuit(v, epochs)\n",
" hexp = tf.linalg.trace(ρ @ hamiltonian)\n",
" loss = tf.linalg.trace(ρ @ hamiltonian @ hamiltonian) - hexp**2\n",
" loss = tf.math.real(loss)\n",
" gr = tape.gradient(loss, v)\n",
" return loss, gr, ρ"
]
},
{
"cell_type": "markdown",
"id": "ab0df5f7-9ea1-4ab1-ac29-e1a3de08ecc6",
"metadata": {},
"source": [
"### Eigenstate Witness"
]
},
{
"cell_type": "markdown",
"id": "c5456a0d-b2f0-4be5-8e56-c6fba8ee07c6",
"metadata": {},
"source": [
"Under the excited-state VQE, the output states will converge to some highly excited states, and the MBL phase has a higher eigenstate witness."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "d6762084-ab19-4d16-9db7-d6bc29a31ae6",
"metadata": {},
"outputs": [],
"source": [
"@tf.function\n",
"def get_eigenstate_witness(ρ, hamiltonian, evolution_time):\n",
" evolution_p = tf.linalg.expm(\n",
" tc.backend.i() * tf.cast(hamiltonian, dtype=dtype) * evolution_time\n",
" )\n",
" evolution_m = tf.linalg.expm(\n",
" tc.backend.i() * tf.cast(hamiltonian, dtype=dtype) * (-evolution_time)\n",
" )\n",
"\n",
" ρ_00 = tf.linalg.trace(ρ)\n",
" ρ_01 = tf.linalg.trace(ρ @ evolution_p)\n",
" ρ_10 = tf.linalg.trace(evolution_m @ ρ)\n",
" ρ_11 = tf.linalg.trace(evolution_m @ ρ @ evolution_p)\n",
"\n",
" ρ_cq_up = tf.stack([ρ_00, ρ_01], axis=0)\n",
" ρ_cq_dn = tf.stack([ρ_10, ρ_11], axis=0)\n",
" ρ_cq = 0.5 * tf.stack([ρ_cq_up, ρ_cq_dn], axis=1)\n",
" r = tf.linalg.trace(ρ_cq @ ρ_cq)\n",
" return tf.math.real(r)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "38a62266-2493-4b6a-830b-161f65c5420f",
"metadata": {},
"outputs": [],
"source": [
"def opt_main(hamiltonian, epochs=2, maxiter=200):\n",
" v = tf.Variable(\n",
" initial_value=tf.random.normal(\n",
" shape=[2 * epochs, L], mean=0.0, stddev=0.03, dtype=tf.float64\n",
" )\n",
" ) # initialize parameters\n",
" opt = tf.keras.optimizers.Adam(learning_rate=0.02)\n",
" print(\"loop begins\")\n",
" for i in range(maxiter):\n",
" loss, gr, ρ = variance_loss(hamiltonian, v.value(), epochs)\n",
" opt.apply_gradients([(tf.math.real(gr), v)])\n",
" if i == maxiter - 1:\n",
" print(loss.numpy())\n",
" return ρ"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "986f8110-2d78-4954-8c92-05a85c8879b8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"loop begins\n",
"0.18502121452649556\n",
"loop begins\n",
"0.3647578794270281\n",
"loop begins\n",
"1.1563841018010805\n",
"loop begins\n",
"1.1626719640361998\n",
"loop begins\n",
"0.20636721189392704\n",
"loop begins\n",
"0.40186462162307635\n",
"loop begins\n",
"0.39881574091884886\n",
"loop begins\n",
"0.41128232341327475\n",
"loop begins\n",
"0.4055560658837294\n",
"loop begins\n",
"0.4046518612466343\n",
"Run time = 16.519852876663208\n",
"Eigenstate Witness: 0.8140801354126028 (Thermal Phase); 0.9994227942365521 (MBL Phase)\n"
]
}
],
"source": [
"start = time.time()\n",
"ρ_list = []\n",
"r_list = []\n",
"for i in range(len(W0)):\n",
" hamiltonian = get_hamiltonian(W0[i])\n",
" evolution_time = 10.0 / W0[i]\n",
" ρ_list.append([])\n",
" r_list.append([])\n",
" for j in range(num_trial):\n",
" ρ = opt_main(hamiltonian, depth)\n",
" ρ_list[i].append(ρ)\n",
" r = get_eigenstate_witness(ρ, hamiltonian, evolution_time)\n",
" r_list[i].append(r)\n",
"endtime = time.time()\n",
"print(\"Run time = \", endtime - start)\n",
"print(\n",
" \"Eigenstate Witness:\",\n",
" np.mean(r_list[0]),\n",
" \"(Thermal Phase);\",\n",
" np.mean(r_list[1]),\n",
" \"(MBL Phase)\",\n",
")"
]
},
{
"cell_type": "markdown",
"id": "3e04d8c8-96b2-46f5-b05d-21c457aa7553",
"metadata": {},
"source": [
"## Research Project"
]
},
{
"cell_type": "markdown",
"id": "ca5f3f83-92b1-423c-b5b9-adf824805545",
"metadata": {},
"source": [
"Reference paper: https://arxiv.org/pdf/2111.13719.pdf."
]
}
],
"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",
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