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热力学不确定性下的反馈增强量子计量与时钟精度

Feedback-Enhanced Quantum Metrology and Clock Precision under Thermodynamic Uncertainty

Jincheng Lu, Chen Wang

arXiv 2609.00622首次发表:更新:

发表机构

Key Laboratory of Intelligent Optoelectronic Devices and Chips of Jiangsu Higher Education Institutions, School of Physical Science and Technology, Suzhou University of Science and Technology; Advanced Technology Research Institute of Taihu Photon Center, School of Physical Science and Technology, Suzhou University of Science and Technology; Department of Physics, Zhejiang Normal University(江苏高校智能光电器件与芯片重点实验室,苏州科技大学物理科学与技术学院; 太湖光子中心先进技术研究院,苏州科技大学物理科学与技术学院; 浙江师范大学物理系)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究构建了幺正跃迁反馈下开放量子系统的全计数统计,推导了反馈修正的热力学不确定性关系,发现反馈可在不改变平均热力学流的前提下增强储库参数估计与量子时钟精度。

AI 中文摘要

反馈可将连续监测的量子跃迁转化为热力学资源。我们通过将反馈映射纳入倾斜生成元,构建了幺正跃迁反馈下开放量子系统的全计数统计。所得轨迹系综同时决定了电流涨落与测量记录的费舍尔信息。我们表明,反馈可增强储库参数估计与时钟精度,且无需改变平均热力学流。这种增强的精度并非仅受储库熵产生的限制。通过将约化动力学嵌入扩大的测量-反馈过程,我们推导了反馈修正的热力学不确定性关系,其中反馈装置的信息熵产生提供了缺失的成本。以电荷监测的双量子点为例说明该框架:跃迁条件反馈可改善测温与化学势传感,并稳定由输出电流节拍定义的量子时钟。

英文摘要

Feedback can convert continuously monitored quantum jumps into a thermodynamic resource. We formulate full counting statistics for open quantum systems under unital jump feedback by incorporating the feedback maps into the tilted generator. The resulting trajectory ensemble determines both current fluctuations and the Fisher information of the measurement record. We show that feedback can enhance reservoir-parameter estimation and clock precision without necessarily changing average thermodynamic currents. This enhanced precision is not bounded by reservoir entropy production alone. By embedding the reduced dynamics in an enlarged measurement-feedback process, we derive a feedback-modified thermodynamic uncertainty relation in which the information entropy production of the feedback apparatus supplies the missing cost. A charge-monitored double quantum dot illustrates the framework: jump-conditioned feedback improves thermometry and chemical-potential sensing, and stabilizes a quantum clock defined by output-current ticks.

论文原文

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