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Conditional probabilities of measurements, quantum time and the Wigner's friend case

Abstract : Considering a minimal number of assumptions and in the context of the timeless formalism, conditional probabilities are derived for subsequent measurements in the non-relativistic regime. Only unitary transformations are considered with detection processes described by generalized measurements (POVM). One-time conditional probabilities are unambiguously derived via the Gleason-Bush theorem, including for puzzling cases like the Wigner's friend scenario where their form underlines the relativity aspect of measurements. No paradoxical situations emerge and the roles of Wigner and the friend are completely interchangeable. Wigner can be seen by his friend as being in a superposition but, at the same time, the friend acts as a which-path detector destroying the coherence of the measured state.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03179772
Contributor : Martino Trassinelli Connect in order to contact the contributor
Submitted on : Friday, December 3, 2021 - 8:17:57 PM
Last modification on : Wednesday, March 16, 2022 - 3:44:29 AM

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qt_20211201.pdf
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  • HAL Id : hal-03179772, version 3
  • ARXIV : 2103.08903

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Martino Trassinelli. Conditional probabilities of measurements, quantum time and the Wigner's friend case. 2021. ⟨hal-03179772v3⟩

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