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

Klco, Natalie; Savage, Martin J.; Stryker, Jesse R.

doi:10.1103/physrevd.101.074512

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

Journal Article · Tue Apr 21 00:00:00 EDT 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.101.074512· OSTI ID:1799985

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Univ. of Washington, Seattle, WA (United States)

A dynamical quantum simulation of SU(2) non-Abelian gauge field theory on a digital quantum computer is presented here. This was enabled on current quantum hardware by introducing a mapping of the field onto a register of qubits that utilizes local gauge symmetry while preserving local constraints on the fields, reducing the dimensionality of the calculation. Controlled plaquette operators and gauge-variant completions in the unphysical part of the Hilbert space were designed and used to implement time evolution. The new techniques developed in this work generalize to quantum simulations of higher dimensional gauge field theories.

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Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF); Microsoft

Grant/Contract Number:: FG02-00ER41132; PHY-1607611; DGE-1256082; ERKJ333; ERKJ335

OSTI ID:: 1799985

Alternate ID(s):: OSTI ID: 1615553

Journal Information:: Physical Review. D., Vol. 101, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 83 works

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