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

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...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2020-04, Vol.101 (7), p.1, Article 074512
Main Authors: Klco, Natalie, Savage, Martin J., Stryker, Jesse R.
Format: Article
Language:English
Subjects:
Computer simulation
Digital computers
Field theory
Hilbert space
Mapping
Quantum computers
Qubits (quantum computing)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.074512