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arXiv 2401.01593quant-phcond-mat.dis-nncond-mat.stat-mech
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含噪混合量子电路中的纠缠结构与信息保护

Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits

Shuo Liu, Ming-Rui Li, Shi-Xin Zhang, Shao-Kai Jian

AI总结:

本文研究含噪混合量子电路中时间不相关与相关噪声对纠缠和信息保护的影响,揭示KPZ涨落主导的标度规律,并以稳定子数值模拟验证。

摘要:

在测量诱导纠缠相变的背景下,真实物理系统中固有的量子噪声的影响具有重要意义和实验相关性。在这篇Letter中,我们对时间不相关和时间相关量子噪声对纠缠产生与信息保护的影响进行了全面的理论分析。研究表明,对于这两类量子噪声,系统内的纠缠都遵循 $q^{-1/3}$ 标度,其中 $q$ 表示噪声概率。该标度源于 Kardar-Parisi-Zhang 涨落,其有效长度尺度为 $L_{\text{eff}} \sim q^{-1}$。更重要的是,我们探究了稳态的信息保护时间尺度,并表明其对于时间不相关噪声和时间相关噪声分别遵循 $q^{-1/2}$ 和 $q^{-2/3}$ 标度。前一种标度可解释为 Hayden-Preskill 协议,而后一种标度则是 Kardar-Parisi-Zhang 涨落的直接结果。我们使用 stabilizer formalism(稳定子形式体系)开展了大量数值模拟,以支持上述理论理解。这篇Letter不仅有助于更深入地理解量子噪声与测量诱导相变之间的相互作用,也为理解 Markovian 与 non-Markovian 噪声对量子计算的影响提供了新的视角。

英文摘要:

In the context of measurement-induced entanglement phase transitions, the influence of quantum noises, which are inherent in real physical systems, is of great importance and experimental relevance. In this Letter, we present a comprehensive theoretical analysis of the effects of both temporally uncorrelated and correlated quantum noises on entanglement generation and information protection. This investigation reveals that entanglement within the system follows $q^{-1/3}$ scaling for both types of quantum noises, where $q$ represents the noise probability. The scaling arises from the Kardar-Parisi-Zhang fluctuation with effective length scale $L_{\text{eff}} \sim q^{-1}$. More importantly, the information protection timescales of the steady states are explored and shown to follow $q^{-1/2}$ and $q^{-2/3}$ scaling for temporally uncorrelated and correlated noises, respectively. The former scaling can be interpreted as a Hayden-Preskill protocol, while the latter is a direct consequence of Kardar-Parisi-Zhang fluctuations. We conduct extensive numerical simulations using stabilizer formalism to support the theoretical understanding. This Letter not only contributes to a deeper understanding of the interplay between quantum noises and measurement-induced phase transition but also provides a new perspective to understand the effects of Markovian and non-Markovian noises on quantum computation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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