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Review on Quantum Computing for Lattice Field Theory

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2023
SISSA Trieste

39th International Symposium on Lattice Field Theory, Lattice 2022, BonnBonn, Germany, 8 Aug 2022 - 13 Aug 20222022-08-082022-08-13 Proceedings of Science / International School for Advanced Studies (LATTICE2022), 228 () [10.22323/1.430.0228]
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Report No.: MIT-CTP/5482; arXiv:2302.00467

Abstract: In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte Carlo approach, such as the sign-problem afflicted regimes of finite baryon density, topological terms, and out-of-equilibrium dynamics. First proof-of-concept quantum computations of lattice gauge theories in (1+1) dimensions have been accomplished, and first resource-efficient quantum algorithms for lattice gauge theories in (1+1) and (2+1) dimensions have been developed. The path towards quantum computations of (3+1)-dimensional lattice gauge theories, including Lattice QCD, requires many incremental steps of improving both quantum hardware and quantum algorithms. After reviewing these requirements and recent advances, we discuss the main challenges and future directions.

Keyword(s): computer, quantum ; baryon, density ; lattice field theory ; quantum algorithm ; hardware ; Monte Carlo ; topological

Classification:

Note: 25 pages, 9 figures; Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universität Bonn, Germany

Contributing Institute(s):
  1. Centre f. Quantum Techno. a. Application (CQTA)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2023
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Review on Quantum Computing for Lattice Field Theory
[10.3204/PUBDB-2023-01222]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2023-02-09, last modified 2025-07-20


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