反常弱值需要相干性的简单证明
A simple proof that anomalous weak values require coherence
AI总结：
本文提出了一个简单证明，表明反常弱值要求前后选择状态在可观测量本征基中具有相干性，并给出了反常弱值作为广义语境性见证的条件，无需弱测量设置。
摘要：
可观测量A的量子力学弱值Aw=<ϕ|A|ψ>/<ϕ|ψ>是与可观测量A及前选择和后选择状态|ψ>,|ϕ>相关联的可测物理量。关于位于A本征值范围之外的反常弱值的含义及其在计量学上的用途，已有诸多讨论。我们提出了一个简单的证明，表明反常弱值要求（可能是混合的）前选择和后选择状态在A的本征基中具有相干性。我们还给出了反常Aw作为广义语境性见证的条件，从而免除了操作性的弱测量设置。
英文摘要：
The quantum mechanical weak value $A_w=\left\langle ϕ|A|ψ\right \rangle / \left\langle ϕ| ψ\right\rangle$ of an observable $A$ is a measurable quantity associated with an observable $A$ and pre- and post-selected states $\vertψ\rangle, \vert ϕ\rangle$. Much has been discussed about the meaning and metrological uses of anomalous weak values, lying outside of the range of eigenvalues of $A$. We present a simple proof that anomalous weak values require that the (possibly mixed) pre- and post- selection states have coherence in the eigenbasis of $A$. We also present conditions under which anomalous $A_w$ are witnesses of generalized contextuality, dispensing with the operational weak measurement set-up.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
