Related papers: Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory

Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory

URL: http://arxiv.org/abs/2408.00069v1
Date: Wed, 31 Jul 2024 18:00:01 GMT
Title: Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory
Authors: Niklas Mueller, Tianyi Wang, Or Katz, Zohreh Davoudi, Marko Cetina,
Abstract summary: We study the role of entanglement in the thermalization dynamics of a $Z$ lattice gauge theory in 2+1time dimensions. Our work establishes quantum computers as robust tools for studying universal features of thermalization in complex many-body systems.
Score: 2.483317204290323
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum computer consisting of fully-connected optically-controlled trapped ions, we study the role of entanglement in the thermalization dynamics of a $Z_2$ lattice gauge theory in 2+1 spacetime dimensions. Using randomized-measurement protocols, we efficiently learn a classical approximation of non-equilibrium states that yields the gap-ratio distribution and the spectral form factor of the entanglement Hamiltonian. These observables exhibit universal early-time signals for quantum chaos, a prerequisite for thermalization. Our work, therefore, establishes quantum computers as robust tools for studying universal features of thermalization in complex many-body systems, including in gauge theories.

Related papers

Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z)
Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z)
Toward Exploring Phase Diagrams of Gauge Theories on Quantum Computers with Thermal Pure Quantum States [0.0]
We present an approach for quantum computing finite-temperature lattice gauge theories at non-zero density. Our approach allows for sign-problem-free quantum computations of thermal expectation values and non-equal time correlation functions.
arXiv Detail & Related papers (2022-12-21T22:10:12Z)
Quantum computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory [0.0]
Strongly-coupled gauge theories far from equilibrium may exhibit unique features that could illuminate the physics of the early universe. We compute non-equal time correlation functions and perform entanglement tomography of non-equilibrium states of a simple lattice gauge theory. Results constitute the first observation of a dynamical quantum phase transition in a lattice gauge theory on a quantum computer.
arXiv Detail & Related papers (2022-10-06T17:47:33Z)
Implementation of a two-stroke quantum heat engine with a collisional model [50.591267188664666]
We put forth a quantum simulation of a stroboscopic two-stroke thermal engine in the IBMQ processor. The system consists of a quantum spin chain connected to two baths at their boundaries, prepared at different temperatures using the variational quantum thermalizer algorithm.
arXiv Detail & Related papers (2022-03-25T16:55:08Z)
Coherent quantum annealing in a programmable 2000-qubit Ising chain [1.2472275770062884]
We show coherent evolution through a quantum phase transition in the paradigmatic setting of the 1D transverse-field Ising chain. Results are in quantitative agreement with analytical solutions to the closed-system quantum model. These experiments demonstrate that large-scale quantum annealers can be operated coherently.
arXiv Detail & Related papers (2022-02-11T19:00:00Z)
Quantum thermodynamics under continuous monitoring: a general framework [0.0]
We provide an introduction to the general theoretical framework to establish and interpret thermodynamics for quantum systems. Main quantities such as work, heat, and entropy production can be defined at the level of thermodynamics. The connection to irreversibility and fluctuation theorems is also discussed, together with some recent developments.
arXiv Detail & Related papers (2021-12-03T17:02:53Z)
Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z)
Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
arXiv Detail & Related papers (2020-12-11T12:55:17Z)
Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.