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arXiv 2610.01163quant-ph

双体量子关联在噪声动力学下的鲁棒性层级

Robustness hierarchy of bipartite quantum correlations under noisy dynamics

Shakib Daryanoosh

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中文总结 AI 辅助

本文提出一个鲁棒性框架,统一刻画贝尔非局域性、EPR导引和纠缠在噪声下的退化层级,并推导出转变时间与方向导数,用于表征双体量子关联的寿命。

中文摘要 AI 辅助

量子关联在噪声下是脆弱的,这促使我们需要定量度量,不仅要追踪其存在性,还要追踪其在物理演化过程中的退化程度。我们为贝尔非局域性、EPR导引和纠缠的层级结构建立了一个鲁棒性框架,确立了相应鲁棒性度量的排序,并将鲁棒性与噪声诱导的转变时间联系起来。我们进一步将沿林德布拉德动力学的瞬时鲁棒性衰减表述为一个方向导数,该导数由演化和鲁棒性泛函共同决定。对各向同性退极化噪声和振幅阻尼的应用分别展示了由此产生的资源转变时间和导引鲁棒性的方向依赖性。该框架为刻画噪声动力学下双体量子关联的退化和寿命提供了一种方法。

英文摘要

Quantum correlations are fragile under noise, motivating quantitative measures that track not only their presence but also their degradation during physical evolution. We develop a robustness framework for the hierarchy of Bell nonlocality, EPR steering, and entanglement, establishing an ordering of the corresponding robustness measures and relating robustness to noise-induced transition times. We further formulate the instantaneous robustness decay along Lindblad dynamics as a directional derivative determined by both the evolution and the robustness functional. Applications to isotropic depolarizing noise and amplitude damping illustrate, respectively, the resulting resource transition times and the directional dependence of steering robustness. The framework provides an approach to characterizing the degradation and lifetime of bipartite quantum correlations under noisy dynamics.

发表机构

  • Curtin University(科廷大学)

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