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Title: SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1615553
Grant/Contract Number:  
FG02-00ER41132; ERKJ333; ERKJ335
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Klco, Natalie, Savage, Martin J., and Stryker, Jesse R. SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers. United States: N. p., 2020. Web. doi:10.1103/PhysRevD.101.074512.
Klco, Natalie, Savage, Martin J., & Stryker, Jesse R. SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers. United States. doi:https://doi.org/10.1103/PhysRevD.101.074512
Klco, Natalie, Savage, Martin J., and Stryker, Jesse R. Tue . "SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers". United States. doi:https://doi.org/10.1103/PhysRevD.101.074512.
@article{osti_1615553,
title = {SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers},
author = {Klco, Natalie and Savage, Martin J. and Stryker, Jesse R.},
abstractNote = {},
doi = {10.1103/PhysRevD.101.074512},
journal = {Physical Review D},
number = 7,
volume = 101,
place = {United States},
year = {2020},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on April 21, 2021
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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


Digital lattice gauge theories
journal, February 2017


U(3) artificial gauge fields for cold atoms
journal, August 2014


Self-verifying variational quantum simulation of lattice models
journal, May 2019


Harmonic oscillator pre-potentials in SU (2) lattice gauge theory
journal, November 2005


Quantum Algorithms for Quantum Field Theories
journal, May 2012


Prepotential formulation of SU (3) lattice gauge theory
journal, December 2009

  • Anishetty, Ramesh; Mathur, Manu; Raychowdhury, Indrakshi
  • Journal of Physics A: Mathematical and Theoretical, Vol. 43, Issue 3
  • DOI: 10.1088/1751-8113/43/3/035403

Quantum simulation of quantum field theory using continuous variables
journal, December 2015


Optical quantum simulation of Abelian gauge field using cold atomic ensembles coupled with arrays of optical cavities
journal, October 2014


Real-Time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
journal, March 2016


Formulation of lattice gauge theories for quantum simulations
journal, March 2015


Atomic Quantum Simulation of Dynamical Gauge Fields Coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
journal, October 2012


Atomic Quantum Simulation of U ( N ) and SU ( N ) Non-Abelian Lattice Gauge Theories
journal, March 2013


Cold-Atom Quantum Simulator for SU(2) Yang-Mills Lattice Gauge Theory
journal, March 2013


Lattice gauge magnets: Local isospin from spin
journal, July 1990


Asymptotic freedom: An approach to strong interactions
journal, November 1974


Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
journal, December 2015


Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973


Finite matrix models with continuous local gauge invariance
journal, March 1981


Reliable Perturbative Results for Strong Interactions?
journal, June 1973


Duality transformation for non-Abelian lattice gauge theories
journal, August 1990


Quantum-classical computation of Schwinger model dynamics using quantum computers
journal, September 2018


Partial-symmetries of weak interactions
journal, February 1961


Quantum simulations of gauge theories with ultracold atoms: Local gauge invariance from angular-momentum conservation
journal, August 2013


Phase transitions in Z n gauge models: Towards quantum simulations of the Schwinger-Weyl QED
journal, October 2018


String representations and hidden symmetries for gauge fields
journal, March 1979


Digitizing gauge fields: Lattice Monte Carlo results for future quantum computers
journal, June 2019


Efficient Basis Formulation for ( 1 + 1 )-Dimensional SU(2) Lattice Gauge Theory: Spectral Calculations with Matrix Product States
journal, November 2017

  • Bañuls, Mari Carmen; Cichy, Krzysztof; Cirac, J. Ignacio
  • Physical Review X, Vol. 7, Issue 4
  • DOI: 10.1103/PhysRevX.7.041046

Hamiltonian formulation of Wilson's lattice gauge theories
journal, January 1975


Quantum Computing in the NISQ era and beyond
journal, August 2018


Simulating lattice gauge theories on a quantum computer
journal, February 2006


Solution of the SU(2) Mandelstam constraints
journal, March 1994


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
  • DOI: 10.1088/1367-2630/aadb71

Yang-Mills vacuum: An attempt at lattice loop calculus
journal, January 1987


Gauge-invariant implementation of the Abelian-Higgs model on optical lattices
journal, October 2015


Simulations of subatomic many-body physics on a quantum frequency processor
journal, July 2019


Tensor Networks for Lattice Gauge Theories with Continuous Groups
journal, November 2014


General methods for digital quantum simulation of gauge theories
journal, August 2019


The basis of the physical Hilbert space of lattice gauge theories
journal, February 2000


Electron-Phonon Systems on a Universal Quantum Computer
journal, September 2018


Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
journal, February 2015


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
  • DOI: 10.1088/1367-2630/aa89ab

Broken Symmetries and the Masses of Gauge Bosons
journal, October 1964


Monte Carlo study of quantized SU(2) gauge theory
journal, April 1980


Gauge fields as rings of glue
journal, January 1980


Quantum Sensors for the Generating Functional of Interacting Quantum Field Theories
journal, October 2017


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
  • DOI: 10.1103/PhysRevA.99.032306

Low energy spectrum of SU(2) lattice gauge theory: An alternate proposal via loop formulation
journal, March 2019


Removing staggered fermionic matter in U ( N ) and S U ( N ) lattice gauge theories
journal, June 2019


SU(2) lattice gauge theory: Local dynamics on nonintersecting electric flux loops
journal, December 2014


Exact ground-state properties of the SU(2) Hamiltonian lattice gauge theory
journal, June 1985


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
  • DOI: 10.1038/nature18318

Eliminating fermionic matter fields in lattice gauge theories
journal, August 2018


Simulation of non-Abelian gauge theories with optical lattices
journal, October 2013

  • Tagliacozzo, L.; Celi, A.; Orland, P.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3615

Confinement of quarks
journal, October 1974


Quantum simulation of scattering in the quantum Ising model
journal, May 2019


Oracles for Gauss's law on digital quantum computers
journal, April 2019


Gluon field digitization for quantum computers
journal, December 2019


Quantum simulation of ( 1 + 1 )-dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
journal, May 2017


Charge-monopole duality and the phases of non-Abelian gauge theories
journal, April 1979


Simulating Compact Quantum Electrodynamics with Ultracold Atoms: Probing Confinement and Nonperturbative Effects
journal, September 2012


Loop states in lattice gauge theory
journal, September 2006


Hamiltonian lattice gauge theories in a loop-dependent magnetic representation
journal, March 1989

  • Di Bartolo, Cayetano; Gambini, Rodolfo; Leal, Lorenzo
  • Physical Review D, Vol. 39, Issue 6
  • DOI: 10.1103/PhysRevD.39.1756

Lattice gauge theory simulations in the quantum information era
journal, March 2016


Method of loops applied to lattice gauge theory
journal, January 1991


Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
journal, June 2019


Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
journal, July 2013


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
  • DOI: 10.1088/2058-9565/aac33b

Digitization of scalar fields for quantum computing
journal, May 2019


Two-dimensional lattice gauge theories with superconducting quantum circuits
journal, December 2014


Non-Abelian SU(2) Lattice Gauge Theories in Superconducting Circuits
journal, December 2015


Quantum Simulation of the Universal Features of the Polyakov Loop
journal, November 2018


Constrained Dynamics via the Zeno Effect in Quantum Simulation: Implementing Non-Abelian Lattice Gauge Theories with Cold Atoms
journal, March 2014


Quantum simulation of gauge potentials with cold atoms in optical lattices: a tunable platform for relativistic fermions and axions
conference, February 2014

  • Rizzi, Matteo
  • Proceedings of From quarks and gluons to hadronic matter: A bridge too far? — PoS(QCD-TNT-III)
  • DOI: 10.22323/1.193.0036

QCD as a quantum link model
journal, September 1999


Loop calculus for lattice gauge theories
journal, May 1989


Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1 + 1 dimensions
journal, August 2018


Quantum link models: A discrete approach to gauge theories
journal, May 1997


Towards quantum simulating QCD
journal, November 2014


QCD and the string model
journal, January 1979


A Model of Leptons
journal, November 1967