Anomalous values, Fisher information, and contextuality, in generalized quantum measurements

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. Furthe...

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Bibliographic Details
Published inarXiv.org
Main Authors Cimini, Valeria, Gianani, Ilaria, Piacentini, Fabrizio, Degiovanni, Ivo P, Barbieri, Marco
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 02.09.2019
Subjects
Fisher information
Mapping
Qubits (quantum computing)
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Summary: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 can 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.
ISSN:2331-8422