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arXiv 2607.11483quant-ph

超对称启发量子电路中的强零模

Strong Zero Modes in Supersymmetry-Inspired Quantum Circuits

Alberto Zorzato, Pietro Richelli, Jiri Minář, Kareljan Schoutens

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中文总结 AI 辅助

研究超对称启发量子电路中离散动力学,发现砖墙配置下有强零模,数量依参数而定,部分局域部分弹道传播,可利用其进行量子信息传输并讨论了噪声鲁棒性。

中文摘要 AI 辅助

我们研究了具有与超对称1+1D量子场论S矩阵对应的门的量子电路中的离散动力学。表明对于砖墙配置,此类电路支持称为强零模(SZM)的局域和非局域动态守恒算符,其数量取决于参数范围。一些SZM保持在边界局域,其他SZM弹道传播,由电路参数选择引导。这种传播可由动力学中出现的强Dzyaloshinskii-Moriya项解释。描述了如何利用传播的SZM进行量子信息传输并讨论了对各种噪声的鲁棒性。

英文摘要

We investigate discrete dynamics in quantum circuits with gates corresponding to the S-matrix of a supersymmetric 1+1D quantum field theory. We show that for a brick-wall configuration such circuits support both localized and delocalized dynamically conserved operators known as strong zero modes (SZM), the number of which depends on the parameter regime. We demonstrate that, while some of the SZM remain localized at boundaries, other SZM propagate ballistically, guided by a choice of circuit parameters. Such propagation can be explained by a strong Dzyaloshinskii Moriya term appearing in the dynamics. We describe how to exploit propagating SZM for quantum information transport and discuss the robustness to various types of noise.

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