pith. sign in

arxiv: 2305.02361 · v2 · pith:XUWOXL7Qnew · submitted 2023-05-03 · ✦ hep-lat · quant-ph

Simulating mathbb{Z}₂ lattice gauge theory on a quantum computer

classification ✦ hep-lat quant-ph
keywords quantumerrorgaugemitigationtheorycorrelationlatticemathbb
0
0 comments X
read the original abstract

The utility of quantum computers for simulating lattice gauge theories is currently limited by the noisiness of the physical hardware. Various quantum error mitigation strategies exist to reduce the statistical and systematic uncertainties in quantum simulations via improved algorithms and analysis strategies. We perform quantum simulations of $1+1d$ $\mathbb{Z}_2$ gauge theory with matter to study the efficacy and interplay of different error mitigation methods: readout error mitigation, randomized compiling, rescaling, and dynamical decoupling. We compute Minkowski correlation functions in this confining gauge theory and extract the mass of the lightest spin-1 state from fits to their time dependence. Quantum error mitigation extends the range of times over which our correlation function calculations are accurate by a factor of six and is therefore essential for obtaining reliable masses.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

    hep-lat 2026-04 unverdicted novelty 7.0

    Monte Carlo-assisted tightening of the energy-based boson truncation bound substantially reduces volume dependence in (1+1)D scalar field theory and (2+1)D U(1) gauge theory.

  2. Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

    hep-lat 2026-04 unverdicted novelty 7.0

    A Monte Carlo-assisted analytic method tightens energy-based bounds on boson truncation errors, substantially reducing the volume dependence of the required cutoff in scalar and gauge theories.

  3. Quantum Simulation of the Real-time Dynamics in the multi-flavor Gross-Neveu Model at the utility scale using Superconducting Quantum Computers

    quant-ph 2026-05 unverdicted novelty 6.0

    A scalable Trotterization and Localized Diagonal Operator Approximation enable real-time quantum simulation of the multi-flavor Gross-Neveu model on utility-scale superconducting hardware.

  4. A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D

    quant-ph 2025-12 conditional novelty 6.0

    A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.

  5. Symmetries and overparametrization properties of Hamiltonian variational ansatzes for the $(1+1)$d $\mathbb{Z}_2$ lattice gauge theory

    quant-ph 2026-06 unverdicted novelty 5.0

    Numerical study of five symmetry-preserving HVAs for Z2 gauge theory finds overparametrization eliminates local minima and loss decay rate scales linearly with number of parameters.

  6. Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

    hep-lat 2026-04 unverdicted novelty 5.0

    New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.