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- W2898817246 abstract "We propose a general framework of the quantum/quasi-classical transformations by introducing the concept of quasi-joint-spectral distribution (QJSD). Specifically, we show that the QJSDs uniquely yield various pairs of quantum/quasi-classical transformations, including the Wigner–Weyl transform. We also discuss the statistical behaviour of combinations of generally non-commuting quantum observables by introducing the concept of quantum correlations and conditional expectations defined analogously to the classical counterpart. Based on these, Aharonov’s weak value is given a statistical interpretation as one realisation of the quantum conditional expectations furnished in our formalism." @default.
- W2898817246 created "2018-11-09" @default.
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- W2898817246 date "2018-01-01" @default.
- W2898817246 modified "2023-09-27" @default.
- W2898817246 title "A General Framework of Quasi-probabilities and the Statistical Behaviour of Non-commuting Quantum Observables" @default.
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- W2898817246 doi "https://doi.org/10.1007/978-981-13-2487-1_9" @default.
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