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arxiv: 0804.4379 · v1 · submitted 2008-04-28 · 🪐 quant-ph

A unique quasi-probability for projective yes-no measurements

classification 🪐 quant-ph
keywords quasi-probabilitymeasurementsuniquederiveddisturbancemeasurementprincipleprojective
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From an analysis of projective measurements, it is shown that the Wigner rule is the unique operational quasi-probability for the post-measurement state. A unique pre-measurement quasi-probability is derived from a principle of invariance of measurement disturbance under orthogonal projector complementation. Physical arguments for this principle are given. The informationally complete complex extension of the quasi-probability is also derived. Nonclassicality of this quasi-probability is due to measurement disturbance. The same quasi-probability follows from weak measurements.

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