In qubit postselected measurements, anomalous values, enhanced Fisher information, and contextuality are not equivalent outside the strict weak-value regime.
Vaidman, Philosophical Transactions of the Royal So- ciety A: Mathematical, Physical and Engineering Sci- ences 375, 20160395 (2017)
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Anomalous values, Fisher information, and contextuality, in generalized quantum measurements
In qubit postselected measurements, anomalous values, enhanced Fisher information, and contextuality are not equivalent outside the strict weak-value regime.