量子数据尺

中文摘要 AI 辅助

尺子通过校准的刻度读取未知长度。量子数据尺则通过未知状态与已知参考信号的比值，读取未知状态的矩阵元。由于跃迁算子随状态依赖的常数乘以一个时间函数而变化，该方法对任何哈密顿量和任何时间都是精确的，从而消除了信号消失的极限。在退相干和振幅阻尼下，读数是无偏的，并能恢复两点测量所抹去的量子电池的相干ergotropy。该结构在经典极限下以作用-角度傅里叶模式存续。

英文摘要

A ruler reads an unknown length against a calibrated scale. The quantum data ruler reads a matrix element of an unknown state against the signal of a known reference, from their ratio. It is exact for any Hamiltonian and any time, since transition operators change by a state-dependent constant times one function of time, removing the vanishing-signal limit. The readout is unbiased under dephasing and amplitude damping, and recovers the coherent ergotropy of a quantum battery that two-point measurement erases. The structure survives the classical limit as action--angle Fourier modes.

发表机构

• Hunan Institute of Engineering（湖南工程学院）

机构由 AI 辅助整理，请以论文原文为准。