量子计量学中有效隐私的信息几何量化
Information geometric quantification of effective privacy in quantum metrology
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中文总结 AI 辅助
研究量子计量协议中参数隐私性与可访问性，构建信息几何框架，通过测量量子态在参数空间诱导体积来量化，以扩展 GHZ 态为例，给出基于量子关联、精度及不完美测量与纠缠的标度律。
中文摘要 AI 辅助
量子计量协议的隐私问题涉及单个参数对观察者或网络其他用户不可访问的程度。本文构建了一个信息几何框架，以有效量化参数函数的隐私性和可访问性，即在状态判别中达到有限精度。这两个量通过测量基础量子态在参数空间中诱导的体积来定义。此构造包含了先前基于量子费希尔信息简并性的隐私定义，自然涵盖了不完美实现。以扩展 GHZ 态作为量子网络场景的代表示例，通过量子关联和精度来表征隐私性和可访问性，并给出了依赖于不完美测量和纠缠的标度律。
英文摘要
Privacy of a quantum metrological protocol concerns the extent to which single parameters can be kept inaccessible to an observer or to other users of the network. In this work, an information geometric framework is developed to quantify privacy and accessibility of functions of parameters effectively, that is, up to a finite accuracy in state discrimination. Both quantities are defined by measuring volumes in the parameter space induced by the underlying quantum states. This construction subsumes previous definitions of privacy based on the degeneracy of quantum Fisher information, naturally encompassing imperfect implementations. Using extended-GHZ states as a representative example of a quantum network scenario, privacy and accessibility are characterized by quantum correlations and accuracy, providing scaling laws depending on imperfect measurements and entanglement.
