General methods for digital quantum simulation of gauge theories
Abstract
A general scheme is presented for simulating gauge theories, with matter fields, on a digital quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is constructed, and a procedure for obtaining time-separated, gauge-invariant correlators is detailed. We demonstrate the procedure on small lattices, including the simulation of a 2 + 1D non-Abelian gauge theory.
- Publication Date:
- Research Org.:
- Univ. of Maryland, College Park, MD (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- Contributing Org.:
- NuQS Collaboration
- OSTI Identifier:
- 1558835
- Alternate Identifier(s):
- OSTI ID: 1610226
- Grant/Contract Number:
- FG02-93ER40762
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; astronomy & astrophysics; physics; lattice QCD; lattice field theory; lattice gauge theory; quantum algorithms; quantum computation; quantum simulation
Citation Formats
Lamm, Henry, Lawrence, Scott, Yamauchi, Yukari, and NuQS Collaboration. General methods for digital quantum simulation of gauge theories. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.034518.
Lamm, Henry, Lawrence, Scott, Yamauchi, Yukari, & NuQS Collaboration. General methods for digital quantum simulation of gauge theories. United States. doi:10.1103/PhysRevD.100.034518.
Lamm, Henry, Lawrence, Scott, Yamauchi, Yukari, and NuQS Collaboration. Mon .
"General methods for digital quantum simulation of gauge theories". United States. doi:10.1103/PhysRevD.100.034518.
@article{osti_1558835,
title = {General methods for digital quantum simulation of gauge theories},
author = {Lamm, Henry and Lawrence, Scott and Yamauchi, Yukari and NuQS Collaboration},
abstractNote = {A general scheme is presented for simulating gauge theories, with matter fields, on a digital quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is constructed, and a procedure for obtaining time-separated, gauge-invariant correlators is detailed. We demonstrate the procedure on small lattices, including the simulation of a 2 + 1D non-Abelian gauge theory.},
doi = {10.1103/PhysRevD.100.034518},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
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Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.034518
DOI: 10.1103/PhysRevD.100.034518
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Works referenced in this record:
Real-time dynamics and proposal for feasible experiments of lattice gauge–Higgs model simulated by cold atoms
journal, June 2015
- Kuno, Yoshihito; Kasamatsu, Kenichi; Takahashi, Yoshiro
- New Journal of Physics, Vol. 17, Issue 6
Digital lattice gauge theories
journal, February 2017
- Zohar, Erez; Farace, Alessandro; Reznik, Benni
- Physical Review A, Vol. 95, Issue 2
Transfer matrix for Kogut-Susskind fermions in the spin basis
journal, January 2013
- Caracciolo, Sergio; Palumbo, Fabrizio
- Physical Review D, Vol. 87, Issue 1
Euclidean versus Minkowski short distance
journal, September 2018
- Rossi, G. C.; Testa, M.
- Physical Review D, Vol. 98, Issue 5
Monte Carlo Study of Real Time Dynamics on the Lattice
journal, August 2016
- Alexandru, Andrei; Başar, Gökçe; Bedaque, Paulo F.
- Physical Review Letters, Vol. 117, Issue 8
Self-verifying variational quantum simulation of lattice models
journal, May 2019
- Kokail, C.; Maier, C.; van Bijnen, R.
- Nature, Vol. 569, Issue 7756
Quantum Algorithms for Quantum Field Theories
journal, May 2012
- Jordan, S. P.; Lee, K. S. M.; Preskill, J.
- Science, Vol. 336, Issue 6085
Entanglement renormalization for weakly interacting fields
journal, April 2019
- Cotler, Jordan S.; Reza Mohammadi Mozaffar, M.; Mollabashi, Ali
- Physical Review D, Vol. 99, Issue 8
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
A variational eigenvalue solver on a photonic quantum processor
journal, July 2014
- Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter
- Nature Communications, Vol. 5, Issue 1
Cold-Atom Quantum Simulator for SU(2) Yang-Mills Lattice Gauge Theory
journal, March 2013
- Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni
- Physical Review Letters, Vol. 110, Issue 12
Entanglement Renormalization for Quantum Fields in Real Space
journal, March 2013
- Haegeman, Jutho; Osborne, Tobias J.; Verschelde, Henri
- Physical Review Letters, Vol. 110, Issue 10
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
Gauge fixing, the transfer matrix, and confinement on a lattice
journal, February 1977
- Creutz, Michael
- Physical Review D, Vol. 15, Issue 4
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 Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors
journal, December 1999
- Abrams, Daniel S.; Lloyd, Seth
- Physical Review Letters, Vol. 83, Issue 24
Construction of a selfadjoint, strictly positive transfer matrix for Euclidean lattice gauge theories
journal, October 1977
- Lüscher, M.
- Communications in Mathematical Physics, Vol. 54, Issue 3
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
Preparing Thermal States of Quantum Systems by Dimension Reduction
journal, October 2010
- Bilgin, Ersen; Boixo, Sergio
- Physical Review Letters, Vol. 105, Issue 17
Novel quark-field creation operator construction for hadronic physics in lattice QCD
journal, September 2009
- Peardon, Michael; Bulava, John; Foley, Justin
- Physical Review D, Vol. 80, Issue 5
Simulating lattice gauge theories on a quantum computer
journal, February 2006
- Byrnes, Tim; Yamamoto, Yoshihisa
- Physical Review A, Vol. 73, Issue 2
Hamiltonian formulation of Wilson's lattice gauge theories
journal, January 1975
- Kogut, John; Susskind, Leonard
- Physical Review D, Vol. 11, Issue 2
Digital quantum simulation of lattice gauge theories in three spatial dimensions
journal, September 2018
- Bender, Julian; Zohar, Erez; Farace, Alessandro
- New Journal of Physics, Vol. 20, Issue 9
Simulations of subatomic many-body physics on a quantum frequency processor
journal, July 2019
- Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M.
- Physical Review A, Vol. 100, 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
Cloud Quantum Computing of an Atomic Nucleus
journal, May 2018
- Dumitrescu, E. F.; McCaskey, A. J.; Hagen, G.
- Physical Review Letters, Vol. 120, Issue 21
Electron-Phonon Systems on a Universal Quantum Computer
journal, September 2018
- Macridin, Alexandru; Spentzouris, Panagiotis; Amundson, James
- Physical Review Letters, Vol. 121, Issue 11
�ber das Paulische �quivalenzverbot
journal, September 1928
- Jordan, P.; Wigner, E.
- Zeitschrift f�r Physik, Vol. 47, Issue 9-10
Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
journal, February 2015
- García-Álvarez, L.; Casanova, J.; Mezzacapo, A.
- Physical Review Letters, Vol. 114, Issue 7
U(1) Wilson lattice gauge theories in digital quantum simulators
journal, October 2017
- Muschik, Christine; Heyl, Markus; Martinez, Esteban
- New Journal of Physics, Vol. 19, Issue 10
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
journal, April 2001
- Farhi, E.; Goldstone, J.; Gutmann, S.
- Science, Vol. 292, Issue 5516
Efficient Quantum Algorithm for Computing -time Correlation Functions
journal, July 2014
- Pedernales, J. S.; Di Candia, R.; Egusquiza, I. L.
- Physical Review Letters, Vol. 113, Issue 2
Faster quantum algorithm to simulate fermionic quantum field theory
journal, July 2018
- Hamed Moosavian, Ali; Jordan, Stephen
- Physical Review A, Vol. 98, Issue 1
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
Quantum Sensors for the Generating Functional of Interacting Quantum Field Theories
journal, October 2017
- Bermudez, A.; Aarts, G.; Müller, M.
- Physical Review X, Vol. 7, Issue 4
Quantum algorithms for fermionic simulations
journal, July 2001
- Ortiz, G.; Gubernatis, J. E.; Knill, E.
- Physical Review A, Vol. 64, Issue 2
Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations
journal, May 2005
- Troyer, Matthias; Wiese, Uwe-Jens
- Physical Review Letters, Vol. 94, Issue 17
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
Eliminating fermionic matter fields in lattice gauge theories
journal, August 2018
- Zohar, Erez; Cirac, J. Ignacio
- Physical Review B, Vol. 98, Issue 7
Simulation of non-Abelian gauge theories with optical lattices
journal, October 2013
- Tagliacozzo, L.; Celi, A.; Orland, P.
- Nature Communications, Vol. 4, Issue 1
Fermions at Finite Density in Dimensions with Sign-Optimized Manifolds
journal, November 2018
- Alexandru, Andrei; Bedaque, Paulo F.; Lamm, Henry
- Physical Review Letters, Vol. 121, Issue 19
Continuous Matrix Product States for Quantum Fields
journal, May 2010
- Verstraete, F.; Cirac, J. I.
- Physical Review Letters, Vol. 104, Issue 19
Quantum simulation of scattering in the quantum Ising model
journal, May 2019
- Gustafson, Erik; Meurice, Y.; Unmuth-Yockey, Judah
- Physical Review D, Vol. 99, Issue 9
Simulating physics with computers
journal, June 1982
- Feynman, Richard P.
- International Journal of Theoretical Physics, Vol. 21, Issue 6-7
Oracles for Gauss's law on digital quantum computers
journal, April 2019
- Stryker, Jesse R.
- Physical Review A, Vol. 99, Issue 4
Quantum simulation of ( )-dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
journal, May 2017
- Kuno, Yoshihito; Sakane, Shinya; Kasamatsu, Kenichi
- Physical Review D, Vol. 95, Issue 9
Efficient Bayesian Phase Estimation
journal, June 2016
- Wiebe, Nathan; Granade, Chris
- Physical Review Letters, Vol. 117, Issue 1
Simulating Compact Quantum Electrodynamics with Ultracold Atoms: Probing Confinement and Nonperturbative Effects
journal, September 2012
- Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni
- Physical Review Letters, Vol. 109, Issue 12
Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements
journal, July 2017
- Briceño, Raúl A.; Hansen, Maxwell T.; Monahan, Christopher J.
- Physical Review D, Vol. 96, Issue 1
Quantum computation and Shor's factoring algorithm
journal, July 1996
- Ekert, Artur; Jozsa, Richard
- Reviews of Modern Physics, Vol. 68, Issue 3
BQP-completeness of scattering in scalar quantum field theory
journal, January 2018
- Jordan, Stephen P.; Krovi, Hari; Lee, Keith S. M.
- Quantum, Vol. 2
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
Examples of symmetry-preserving truncations in tensor field theory
journal, July 2019
- Meurice, Yannick
- Physical Review D, Vol. 100, Issue 1
Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
journal, July 2013
- Wiese, U. ‐J.
- Annalen der Physik, Vol. 525, Issue 10-11
Simulation of Nonequilibrium Dynamics on a Quantum Computer
journal, October 2018
- Lamm, Henry; Lawrence, Scott
- Physical Review Letters, Vol. 121, Issue 17
Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions
journal, November 2013
- Hauke, P.; Marcos, D.; Dalmonte, M.
- Physical Review X, Vol. 3, Issue 4
Universal features of the Abelian Polyakov loop in dimensions
journal, November 2018
- Unmuth-Yockey, J.; Zhang, Jin; Bazavov, A.
- Physical Review D, Vol. 98, Issue 9
Quantum algorithms and the Fourier transform
journal, January 1998
- Jozsa, R.
- Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 454, Issue 1969
Digitization of scalar fields for quantum computing
journal, May 2019
- Klco, Natalie; Savage, Martin J.
- Physical Review A, Vol. 99, Issue 5
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