量子相干动力学的反常涨落定理
Anomaly fluctuation theorem for quantum coherence dynamics
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中文总结 AI 辅助
本研究为量子相干动力学建立了精确的积分涨落定理，通过KD准概率轨迹定义反常，提供统计约束，展示其在量子资源动力学中的广泛应用。
中文摘要 AI 辅助
量子相干性是量子信息科学中的核心资源，然而，对其动力学进行约束的一般框架和规律仍然有限。尽管量子相干性缺乏一般的单调性定律，我们仍为相干性动力学建立了一个精确的积分涨落定理（FT），该定理以Kirkwood-Dirac（KD）准概率轨迹表述，并适用于任意初始态和动力学。该积分FT偏离了标准单位值形式，这种复数偏差被称为反常，它量化了残余末态相干性与从退相输入中产生的相干性之间的加权重叠。反常的实部给出了相干性变化的界限，而其虚部则约束了由KD准概率虚部加权的随机相干性变化的二阶矩。我们的结果建立了相干性动力学的一般统计约束，展示了FT在研究量子资源动力学中的实用性和广泛适用性。
英文摘要
Quantum coherence is a central resource in quantum information science, yet general frameworks and constraints governing its dynamics remain limited. Although quantum coherence lacks a general monotonicity law, we establish an exact integral fluctuation theorem (FT) for coherence dynamics, formulated in terms of Kirkwood-Dirac (KD) quasiprobability trajectories and valid for arbitrary initial states and dynamics. This integral FT deviates from the standard unit-valued form, and the complex deviation, termed the anomaly, quantifies a weighted overlap between the residual final-state coherence and the coherence generated from the dephased input. The real part of the anomaly yields bounds on coherence change, while its imaginary part constrains the second-order moment of the stochastic coherence change weighted by the imaginary parts of the KD quasiprobabilities. Our results establish general statistical constraints on coherence dynamics, demonstrating the utility and broad applicability of FTs for studying quantum-resource dynamics.
发表机构
- Northwest University（西北大学）
- INO-CNR and LENS（意大利国家研究委员会光学研究所与欧洲激光中心）
机构由 AI 辅助整理，请以论文原文为准。
