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.
- 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 = {Tue Dec 03 00:00:00 EST 2019},
month = {Tue Dec 03 00:00:00 EST 2019}
}
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https://doi.org/10.1103/PhysRevD.100.114501
https://doi.org/10.1103/PhysRevD.100.114501
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Works referenced in this record:
More on SU(3) lattice gauge theory in the fundamental-adjoint plane
journal, March 1996
- Heller, Urs M.
- Nuclear Physics B - Proceedings Supplements, Vol. 47, Issue 1-3
Monte Carlo simulations of lattice models with finite subgroups of SU(3) as gauge groups
journal, December 1981
- Bhanot, G.; Rebbi, C.
- Physical Review D, Vol. 24, Issue 12
Asymptotically free models and discrete non-Abelian groups
journal, July 2001
- Caracciolo, Sergio; Montanari, Andrea; Pelissetto, Andrea
- Physics Letters B, Vol. 513, Issue 1-2
Phase structure and duality of ZN lattice gauge theory with generalized actions in four space-time dimensions
journal, January 1983
- Fukugita, M.; Kobayashi, M.; Kaneko, T.
- Nuclear Physics B, Vol. 215, Issue 2
Strong coupling expansions in pure lattice gauge theory mixed actions
journal, February 1990
- Ayala, Carles; Baig, Marià
- Annals of Physics, Vol. 198, Issue 1
Internal space decimation for lattice gauge theories
journal, November 1984
- Flyvbjerg, H.
- Nuclear Physics B, Vol. 240, Issue 4
Glueball spectrum from an anisotropic lattice study
journal, July 1999
- Morningstar, Colin J.; Peardon, Mike
- Physical Review D, Vol. 60, Issue 3
Group space decimation: A way to simulate QCD by the 1080 element subgroup of SU(3)?
journal, September 1984
- Flyvbjerg, Henrik
- Nuclear Physics B, Vol. 243, Issue 2
Atomic Quantum Simulation of Dynamical Gauge Fields Coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
journal, October 2012
- Banerjee, D.; Dalmonte, M.; Müller, M.
- Physical Review Letters, Vol. 109, Issue 17
Atomic Quantum Simulation of and Non-Abelian Lattice Gauge Theories
journal, March 2013
- Banerjee, D.; Bögli, M.; Dalmonte, M.
- Physical Review Letters, Vol. 110, Issue 12
Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
journal, December 2015
- Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni
- Reports on Progress in Physics, Vol. 79, Issue 1
SU(3) lattice gauge theory in the fundamental-adjoint plane and scaling along the Wilson axis
journal, November 1995
- Heller, Urs M.
- Physics Letters B, Vol. 362, Issue 1-4
Generalized actions in Zp lattice gauge theory
journal, June 1983
- Creutz, Michael; Okawa, Masanori
- Nuclear Physics B, Vol. 220, Issue 2
Phase structure of U(1) models with mixed actions
journal, June 1982
- Horn, D.; Karliner, M.; Katznelson, E.
- Physics Letters B, Vol. 113, Issue 3
Models on Quantum Computers
journal, August 2019
- Alexandru, Andrei; Bedaque, Paulo F.; Lamm, Henry
- Physical Review Letters, Vol. 123, Issue 9
Phase structure of lattice gauge theories for non-abelian subgroups of SU(3)
journal, April 1981
- Grosse, H.; Kühnelt, H.
- Physics Letters B, Vol. 101, Issue 1-2
Quantum-classical computation of Schwinger model dynamics using quantum computers
journal, September 2018
- Klco, N.; Dumitrescu, E. F.; McCaskey, A. J.
- Physical Review A, Vol. 98, Issue 3
Quantum simulations of gauge theories with ultracold atoms: Local gauge invariance from angular-momentum conservation
journal, August 2013
- Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni
- Physical Review A, Vol. 88, Issue 2
Digitizing gauge fields: Lattice Monte Carlo results for future quantum computers
journal, June 2019
- Hackett, Daniel C.; Howe, Kiel; Hughes, Ciaran
- Physical Review A, Vol. 99, Issue 6
SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action: Lattice artefacts
journal, August 2004
- Hasenbusch, M.; Necco, S.
- Journal of High Energy Physics, Vol. 2004, Issue 08
“Nuclear Physics” with ultracold Gases
journal, June 2018
- Rico, E.; Dalmonte, M.; Zoller, P.
- Annals of Physics, Vol. 393
Phase diagram of a truncated tetrahedral model
journal, August 2016
- Krcmar, Roman; Gendiar, Andrej; Nishino, Tomotoshi
- Physical Review E, Vol. 94, Issue 2
Glueball spectrum and matrix elements on anisotropic lattices
journal, January 2006
- Chen, Y.; Alexandru, A.; Dong, S. J.
- Physical Review D, Vol. 73, Issue 1
Gauge-invariant implementation of the Abelian-Higgs model on optical lattices
journal, October 2015
- Bazavov, A.; Meurice, Y.; Tsai, S. -W.
- Physical Review D, Vol. 92, Issue 7
Thermal phase transition in mixed action SU (3) lattice gauge theory and Wilson fermion thermodynamics
journal, May 1995
- Blum, T.; DeTar, C.; Heller, Urs M.
- Nuclear Physics B, Vol. 442, Issue 1-2
Atomic Quantum Simulation of the Lattice Gauge-Higgs Model: Higgs Couplings and Emergence of Exact Local Gauge Symmetry
journal, September 2013
- Kasamatsu, Kenichi; Ichinose, Ikuo; Matsui, Tetsuo
- Physical Review Letters, Vol. 111, Issue 11
Monte Carlo integration for lattice gauge theories with fermions
journal, February 1981
- Weingarten, D. H.; Petcher, D. N.
- Physics Letters B, Vol. 99, Issue 4
Continuum limit of two-dimensional spin models with continuous symmetry and conformal quantum field theory
journal, January 1998
- Patrascioiu, Adrian; Seiler, Erhard
- Physical Review E, Vol. 57, Issue 1
General methods for digital quantum simulation of gauge theories
journal, August 2019
- Lamm, Henry; Lawrence, Scott; Yamauchi, Yukari
- Physical Review D, Vol. 100, Issue 3
Parallel tempering: Theory, applications, and new perspectives
journal, January 2005
- Earl, David J.; Deem, Michael W.
- Physical Chemistry Chemical Physics, Vol. 7, Issue 23
Monte Carlo evaluation of hadron masses in lattice gauge theories with fermions
journal, February 1982
- Weingarten, Don
- Physics Letters B, Vol. 109, Issue 1-2
Scalar quantum field theories as a benchmark for near-term quantum computers
journal, March 2019
- Yeter-Aydeniz, Kübra; Dumitrescu, Eugene F.; McCaskey, Alex J.
- Physical Review A, Vol. 99, Issue 3
SU(3) lattice gauge theory in 4 dimensions with a modified Wilson action
journal, January 1982
- Bhanot, Gyan
- Physics Letters B, Vol. 108, Issue 4-5
Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow
journal, December 2016
- Kitazawa, Masakiyo; Iritani, Takumi; Asakawa, Masayuki
- Physical Review D, Vol. 94, Issue 11
Multi-spin coding: A very efficient technique for Monte Carlo simulations of spin systems
journal, May 1981
- Jacobs, Laurence; Rebbi, Claudio
- Journal of Computational Physics, Vol. 41, Issue 1
Generalised actions for lattice gauge models
journal, February 1982
- Edgar, Robert C.
- Nuclear Physics B, Vol. 200, Issue 2
Replica Monte Carlo Simulation of Spin-Glasses
journal, November 1986
- Swendsen, Robert H.; Wang, Jian-Sheng
- Physical Review Letters, Vol. 57, Issue 21
Eliminating fermionic matter fields in lattice gauge theories
journal, August 2018
- Zohar, Erez; Cirac, J. Ignacio
- Physical Review B, Vol. 98, Issue 7
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
journal, June 2016
- Martinez, Esteban A.; Muschik, Christine A.; Schindler, Philipp
- Nature, Vol. 534, Issue 7608
Low-energy effective theories of quantum spin and quantum link models
journal, March 2001
- Schlittgen, B.; Wiese, U. -J.
- Physical Review D, Vol. 63, Issue 8
Oracles for Gauss's law on digital quantum computers
journal, April 2019
- Stryker, Jesse R.
- Physical Review A, Vol. 99, Issue 4
Study of -Vacua by Cluster Simulation of Quantum Spin Ladders
journal, January 2005
- Beard, B. B.; Pepe, M.; Riederer, S.
- Physical Review Letters, Vol. 94, Issue 1
Lattice artefacts in SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action
journal, March 2005
- Hasenbusch, Martin; Necco, Silvia
- Nuclear Physics B - Proceedings Supplements, Vol. 140
Gauge-invariant rotor Hamiltonian from dual variables of 3D gauge theory
journal, April 2019
- Unmuth-Yockey, Judah F.
- Physical Review D, Vol. 99, Issue 7
Monte Ćarlo calculations and a model of the phase structure for gauge theories on discrete subgroups of SU(2)
journal, November 1980
- Petcher, D.; Weingarten, D. H.
- Physical Review D, Vol. 22, Issue 10
Simulation of Nonequilibrium Dynamics on a Quantum Computer
journal, October 2018
- Lamm, Henry; Lawrence, Scott
- Physical Review Letters, Vol. 121, Issue 17
Light hadron spectrum and quark masses from quenched lattice QCD
journal, February 2003
- Aoki, S.; Boyd, G.; Burkhalter, R.
- Physical Review D, Vol. 67, Issue 3
Monte Carlo study of Abelian lattice gauge theories
journal, October 1979
- Creutz, Michael; Jacobs, Laurence; Rebbi, Claudio
- Physical Review D, Vol. 20, Issue 8
Critical point and scale setting in SU(3) plasma: An update
journal, May 2015
- Francis, A.; Kaczmarek, O.; Laine, M.
- Physical Review D, Vol. 91, Issue 9
Quantum simulation of lattice gauge theories using Wilson fermions
journal, June 2018
- Zache, T. V.; Hebenstreit, F.; Jendrzejewski, F.
- Quantum Science and Technology, Vol. 3, Issue 3
Erratum: Properties and uses of the Wilson flow in lattice QCD
journal, March 2014
- Lüscher, Martin
- Journal of High Energy Physics, Vol. 2014, Issue 3
Digitization of scalar fields for quantum computing
journal, May 2019
- Klco, Natalie; Savage, Martin J.
- Physical Review A, Vol. 99, Issue 5
Asymptotically free theories based on discrete subgroups
journal, March 2001
- Hasenfratz, Peter; Niedermayer, Ferenc
- Nuclear Physics B - Proceedings Supplements, Vol. 94, Issue 1-3
Properties and uses of the Wilson flow in lattice QCD
journal, August 2010
- Lüscher, Martin
- Journal of High Energy Physics, Vol. 2010, Issue 8
Two-dimensional lattice gauge theories with superconducting quantum circuits
journal, December 2014
- Marcos, D.; Widmer, P.; Rico, E.
- Annals of Physics, Vol. 351
Local spin operators for fermion simulations
journal, September 2016
- Whitfield, James D.; Havlíček, Vojtěch; Troyer, Matthias
- Physical Review A, Vol. 94, Issue 3
Quantum Simulation of the Universal Features of the Polyakov Loop
journal, November 2018
- Zhang, Jin; Unmuth-Yockey, J.; Zeiher, J.
- Physical Review Letters, Vol. 121, Issue 22
QCD as a quantum link model
journal, September 1999
- Brower, R.; Chandrasekharan, S.; Wiese, U. -J.
- Physical Review D, Vol. 60, Issue 9
Quantum link models: A discrete approach to gauge theories
journal, May 1997
- Chandrasekharan, S.; Wiese, U. -J
- Nuclear Physics B, Vol. 492, Issue 1-2
Discrete subsets of SU(3) for lattice gauge theory
journal, June 1982
- Lisboa, P.; Michael, C.
- Physics Letters B, Vol. 113, Issue 4