Quantum error thresholds for gauge-redundant digitizations of lattice field theories

Carena, Marcela; Lamm, Henry; Li, Ying-Ying; Liu, Wanqiang

doi:10.1103/PhysRevD.110.054516

Title: Quantum error thresholds for gauge-redundant digitizations of lattice field theories

Journal Article · 23 September 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.054516 · OSTI ID:2447644

Carena, Marcela;

;

In the quantum simulation of lattice gauge theories, gauge symmetry can be either fixed or encoded as a redundancy of the Hilbert space. While gauge-fixing reduces the number of qubits, keeping the gauge redundancy can provide code space to mitigate and correct quantum errors by checking and restoring Gauss’s law. In this work, we consider the correctable errors for generic finite gauge groups and design the quantum circuits to detect and correct them. We calculate the error thresholds below which the gauge-redundant digitization with Gauss’s law error correction has better fidelity than the gauge-fixed digitization involving only gauge-invariant states. Our results provide guidance for fault-tolerant quantum simulations of lattice gauge theories. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 2447644

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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