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

Fuente: arXiv
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Auteur principal: Trassinelli, Martino
Format: Preprint
Publié: 2021
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author Trassinelli, Martino
author_facet Trassinelli, Martino
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2103_08903
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Conditional probabilities of measurements, quantum time and the Wigner's friend case
Trassinelli, Martino
Quantum Physics
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.
title Conditional probabilities of measurements, quantum time and the Wigner's friend case
topic Quantum Physics
url https://arxiv.org/abs/2103.08903