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

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

URL: http://arxiv.org/abs/2402.16780v1
Date: Mon, 26 Feb 2024 17:51:48 GMT
Title: Quantum error thresholds for gauge-redundant digitizations of lattice field theories
Authors: Marcela Carena, Henry Lamm, Ying-Ying Li, Wanqiang Liu
Abstract summary: 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.
Score: 9.080653388540972
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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. Our results provide guidance for fault-tolerant quantum simulations of lattice gauge theories.

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