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

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

doi:10.1103/PhysRevD.101.074512

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

Aug 19, 2019

10 pages

Published in:

Phys.Rev.D 101 (2020) 7, 074512

Published: Apr 22, 2020

e-Print:

1908.06935 [quant-ph]

DOI:

10.1103/PhysRevD.101.074512

Report number:

INT-PUB-19-033

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Abstract: (APS)

A dynamical quantum simulation of SU(2) non-Abelian gauge field theory on a digital quantum computer is presented. 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.

Note:

8 pages, 4 figures, 3 tables

Lattice field theories, lattice QCD
computer: quantum
gauge field theory: nonabelian
gauge field theory: higher-dimensional
symmetry: gauge
dimension: 1
SU(2)
Hilbert space
hardware
qubit

References(98)

Figures(4)

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