2019
DOI: 10.1103/physrevd.100.034518
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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.

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Cited by 160 publications
(113 citation statements)
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“…As an immediate application, our result gives a rigorous proof of the Jordan-Lee-Preskill claim about the complexity of simulating quantum field theory [6]. Recent works have analyzed the gate complexity of other quantum field theory simulations [39], including digital simulation of gauge theories [40]. The lattice Hamiltonians there have similar locality, so our analysis still applies.…”
mentioning
confidence: 75%
“…As an immediate application, our result gives a rigorous proof of the Jordan-Lee-Preskill claim about the complexity of simulating quantum field theory [6]. Recent works have analyzed the gate complexity of other quantum field theory simulations [39], including digital simulation of gauge theories [40]. The lattice Hamiltonians there have similar locality, so our analysis still applies.…”
mentioning
confidence: 75%
“…The possibility to simulate a LGT in a quantum computer was first considered in [75], which estimated the required resources to perform a digital quantum simulation of U(1), SU(2) and SU (3) theories. See also other recent works on quantum computation [76][77][78][79][80][81][82][83], on superconducting quantum simulation [84,85], on atomic quantum simulation [41,[86][87][88][89][90][91][92][93][94][95], on classical simulation [96,97], or on Hamiltonian formulation [98,99] of lattice gauge theories, and for a general review on quantum simulation [6].…”
Section: Quantum Science and Technologies Toolsmentioning
confidence: 99%
“…Such simulations are instructive, but generalizing to non-Abelian gauge groups and multidimensional space is necessary to address the important problems where classical computers fall short. Work on these generalizations is underway [30][31][32][33][34][35][36][37][38][39] (see also Refs. [17,22] and references therein), but the state of these studies is even less mature due to the significant practical complications involved with non-Abelian interactions.…”
Section: Introductionmentioning
confidence: 99%