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Title: Gluon field digitization for quantum computers

Abstract

Simulations of gauge theories on quantum computers require the digitization of continuous field variables. Digitization schemes that use the minimum amount of qubits are desirable. We present a practical scheme for digitizing SU(3) gauge theories via its discrete subgroup S(1080). The S(1080) standard Wilson action cannot be used since a phase transition occurs as the coupling is decreased, well before the scaling regime. We propose a modified action that allows simulations in the scaling window and carry out classical Monte Carlo calculations down to lattice spacings of order a ≈ 0.08 fm . We compute a set of observables with subpercent precision at multiple lattice spacings and show that the continuum extrapolated value agrees with the full SU(3) results. This suggests that this digitization scheme provides sufficient precision for noisy intermediate-scale quantum era QCD simulations.

Authors:
; ; ; ORCiD logo; ; ;
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States); George Washington Univ., Washington, DC (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
Contributing Org.:
NuQS Collaboration
OSTI Identifier:
1576861
Alternate Identifier(s):
OSTI ID: 1800789
Grant/Contract Number:  
FG02-95ER-40907; FG02-93ER-40762; FG02-93ER40762; FG02-95ER40907; PHY-1151648
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Astronomy & Astrophysics; Physics

Citation Formats

Alexandru, Andrei, Bedaque, Paulo F., Harmalkar, Siddhartha, Lamm, Henry, Lawrence, Scott, Warrington, Neill C., and NuQS Collaboration. Gluon field digitization for quantum computers. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.114501.
Alexandru, Andrei, Bedaque, Paulo F., Harmalkar, Siddhartha, Lamm, Henry, Lawrence, Scott, Warrington, Neill C., & NuQS Collaboration. Gluon field digitization for quantum computers. United States. https://doi.org/10.1103/PhysRevD.100.114501
Alexandru, Andrei, Bedaque, Paulo F., Harmalkar, Siddhartha, Lamm, Henry, Lawrence, Scott, Warrington, Neill C., and NuQS Collaboration. Tue . "Gluon field digitization for quantum computers". United States. https://doi.org/10.1103/PhysRevD.100.114501.
@article{osti_1576861,
title = {Gluon field digitization for quantum computers},
author = {Alexandru, Andrei and Bedaque, Paulo F. and Harmalkar, Siddhartha and Lamm, Henry and Lawrence, Scott and Warrington, Neill C. and NuQS Collaboration},
abstractNote = {Simulations of gauge theories on quantum computers require the digitization of continuous field variables. Digitization schemes that use the minimum amount of qubits are desirable. We present a practical scheme for digitizing SU(3) gauge theories via its discrete subgroup S(1080). The S(1080) standard Wilson action cannot be used since a phase transition occurs as the coupling is decreased, well before the scaling regime. We propose a modified action that allows simulations in the scaling window and carry out classical Monte Carlo calculations down to lattice spacings of order a ≈ 0.08 fm . We compute a set of observables with subpercent precision at multiple lattice spacings and show that the continuum extrapolated value agrees with the full SU(3) results. This suggests that this digitization scheme provides sufficient precision for noisy intermediate-scale quantum era QCD simulations.},
doi = {10.1103/PhysRevD.100.114501},
journal = {Physical Review D},
number = 11,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.114501

Citation Metrics:
Cited by: 7 works
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