Toward Exploring Phase Diagrams of Gauge Theories on Quantum Computers with Thermal Pure Quantum States

• URL: http://arxiv.org/abs/2212.11388v1
• Date: Wed, 21 Dec 2022 22:10:12 GMT
• Title: Toward Exploring Phase Diagrams of Gauge Theories on Quantum Computers with Thermal Pure Quantum States
• Authors: Zohreh Davoudi, Niklas Mueller, Connor Powers
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Aiming at evading the notorious sign problem in classical Monte-Carlo approaches to lattice quantum chromodynamics, we present an approach for quantum computing finite-temperature lattice gauge theories at non-zero density. Based on the thermal pure-quantum-state formalism of statistical mechanics when extended to gauge-theory systems, our approach allows for sign-problem-free quantum computations of thermal expectation values and non-equal time correlation functions. By taking a simple lattice gauge theory for which classical benchmarks are possible, namely $\mathbb{Z}_2$ lattice gauge theory in 1+1 dimensions at finite chemical potential, we discuss resource requirements and robustness to algorithmic and hardware imperfections for near-term quantum-hardware realizations.

Related papers

• Quantum Computing Universal Thermalization Dynamics in a (2+1)D Lattice Gauge Theory [2.483317204290323]
  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.
  arXiv  Detail & Related papers  (2024-07-31T18:00:01Z)
• Minimally Entangled Typical Thermal States for Classical and Quantum Simulation of Gauge Theories at Finite Temperature and Density [0.0]
  Simulating strongly coupled gauge theories at finite temperature and density is a longstanding challenge in nuclear and high-energy physics. In this work, we investigate the utility of minimally entangled typical thermal state (METTS) approaches to facilitate both classical and quantum computational studies.
  arXiv  Detail & Related papers  (2024-07-16T17:44:01Z)
• 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)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States [0.0]
  We propose a generalization of thermal-pure-quantum-state formulation of statistical mechanics applied to constrained gauge-theory dynamics. We numerically demonstrate that the phase diagram of a simple low-dimensional gauge theory is robustly determined using this approach.
  arXiv  Detail & Related papers  (2022-08-28T01:26:10Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Theory of Quantum Generative Learning Models with Maximum Mean Discrepancy [67.02951777522547]
  We study learnability of quantum circuit Born machines (QCBMs) and quantum generative adversarial networks (QGANs) We first analyze the generalization ability of QCBMs and identify their superiorities when the quantum devices can directly access the target distribution. Next, we prove how the generalization error bound of QGANs depends on the employed Ansatz, the number of qudits, and input states.
  arXiv  Detail & Related papers  (2022-05-10T08:05:59Z)
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models [0.0]
  A fundamental question regarding quantum link model regularizations of lattice gauge theories is how faithfully they capture the quantum field theory limit of gauge theories. Here, we show that the approach to this limit also lends itself to the far-from-equilibrium dynamics of lattice gauge theories. Our results further affirm that state-of-the-art finite-size ultracold-atom and NISQ-device implementations of quantum link lattice gauge theories have the real potential to simulate their quantum field theory limit even in the far-from-equilibrium regime.
  arXiv  Detail & Related papers  (2021-12-08T19:00:00Z)
• Quantum Simulation of Chiral Phase Transitions [62.997667081978825]
  We construct a quantum simulation for the $(+1)$ dimensional NJL model at finite temperature and finite chemical potential. We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.
  arXiv  Detail & Related papers  (2021-12-07T19:04:20Z)
• A resource efficient approach for quantum and classical simulations of gauge theories in particle physics [0.0]
  lattice gauge theory (LGT) calculations have been pivotal in our understanding of fundamental interactions. Hamiltonian-based formulations involve infinite-dimensional gauge degrees of freedom that can solely be handled by truncation. We provide a resource-efficient protocol to simulate LGTs with continuous gauge groups in the Hamiltonian formulation.
  arXiv  Detail & Related papers  (2020-06-25T04:10:11Z)
• 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.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.