Postselection following weak measurements has long been investigated for its peculiar manifestation of quantum signatures. In particular, the postselected events can give rise to anomalous values lying outside the spectrum of the measured quantity, and may provide enhanced Fisher information. Furthermore, the Pusey inequality highlights that, for extremely weak measurements, non-contextual models cannot account for the outcome probabilities. It is then interesting to investigate whether these are linked in a unified framework. Here we discuss on the existence of a possible connection in the case of qubits. We show that when performing generic postselected measurements there exist no one-to-one mapping between them, an instance that leads to drawing more involved considerations.

中文翻译：

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广义量子测量中的异常值，Fisher信息和上下文

长期以来，人们一直在研究弱测量后的后选择对量子签名的独特表现。特别地，后选事件可以引起位于所测量量的频谱之外的异常值，并且可以提供增强的费舍尔信息。此外，Pusey不等式还表明，对于极弱的度量，非上下文模型无法说明结果概率。然后研究这些是否在一个统一的框架中链接很有趣。在这里，我们讨论在量子位情况下可能存在的连接。我们表明，执行通用的后选测量时，它们之间不存在一对一的映射关系，这种情况导致了绘制更多涉及的注意事项。