Conditional probabilities of measurements, quantum time and the Wigner's friend case - Archive ouverte HAL Access content directly
Journal Articles Physical Review A Year : 2022

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 Wigner can be seen by his friend as being in a superposition.
Fichier principal
Vignette du fichier
qt_20220307.pdf (283.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03179772 , version 1 (24-03-2021)
hal-03179772 , version 2 (13-10-2021)
hal-03179772 , version 3 (03-12-2021)
hal-03179772 , version 4 (09-03-2022)

Identifiers

Cite

Martino Trassinelli. Conditional probabilities of measurements, quantum time and the Wigner's friend case. Physical Review A, 2022, 105 (3), pp.032213. ⟨hal-03179772v4⟩
222 View
131 Download

Altmetric

Share

Gmail Facebook X LinkedIn More