标题： 量子误差阈值对于格点场理论的规范冗余离散化 显示英文标题

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

摘要： 在格点规范理论的量子模拟中，规范对称性可以被固定或作为希尔伯特空间的冗余来编码。 虽然规范固定减少了量子比特的数量，但保持规范冗余可以通过检查和恢复高斯定律来提供代码空间以减轻和纠正量子错误。 在本工作中，我们考虑了通用有限规范群的可纠正错误，并设计了检测和纠正这些错误的量子电路。 我们计算了误差阈值，在此阈值以下，通过高斯定律误差校正的规范冗余离散化比规范固定离散化具有更好的保真度。 我们的结果为格点规范理论的容错量子模拟提供了指导。 显示英文摘要

摘要： 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.