Simulating Field Theories with Quantum Computers

Muhammad Asaduzzaman; Simon Catterall; Yannick Meurice; Goksu Can Toga

doi:10.48550/arxiv.2401.01962

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Simulating Field Theories with Quantum Computers

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Simulating Field Theories with Quantum Computers

Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice and Goksu Can Toga

ArXiv.org

Cornell University

01/03/2024

DOI: 10.48550/arxiv.2401.01962

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https://doi.org/10.48550/arxiv.2401.01962View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

In this study, we investigate Trotter evolution in the Gross-Neveu and hyperbolic Ising models in two spacetime dimensions, using quantum computers. We identify different sources of errors prevalent in various quantum processing units and discuss challenges to scale up the size of the computation. We present benchmark results obtained on a variety of platforms and employ a range of error mitigation techniques to address coherent and incoherent noise. By comparing these mitigated outcomes with exact diagonalization results and density matrix renormalization group calculations, we assess the effectiveness of our approaches. Moreover, we demonstrate the implementation of an out-of-time-ordered correlator (OTOC) protocol using IBM's quantum computers.

Physics - High Energy Physics - Lattice

Physics - Quantum Physics

Details

Title: Subtitle: Simulating Field Theories with Quantum Computers
Creators: Muhammad Asaduzzaman
Simon Catterall
Yannick Meurice
Goksu Can Toga
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2401.01962
ISSN: 2331-8422
Publisher: Cornell University; Ithaca
Language: English
Date posted: 01/03/2024
Academic Unit: Physics and Astronomy
Record Identifier: 9984539655602771

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