Review on Quantum Computing for Lattice Field Theory - INSPIRE

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Review on Quantum Computing for Lattice Field Theory

Lena Funcke
(
- U. Bonn (main) and
- MIT, Cambridge, CTP
)
,
Tobias Hartung
(
- Unlisted, UK
)
,
Karl Jansen
(
- DESY, Zeuthen
)
,
Stefan Kühn
(
- DESY, Zeuthen and
- Cyprus Inst.
)

Feb 1, 2023

25 pages

Published in:

PoS LATTICE2022 (2023) 228

Contribution to:

- Lattice 2022
, 228
,
- Lattice 2022

Published: Feb 1, 2023

e-Print:

2302.00467 [hep-lat]

DOI:

10.22323/1.430.0228

Report number:

MIT-CTP/5482

View in:

ADS Abstract Service

reference search40 citations

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Abstract: (SISSA)

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.

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

computer: quantum
baryon: density
lattice field theory
quantum algorithm
lattice
numerical calculations
hardware
Monte Carlo
topological

References(143)

Figures(11)

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