State-dependent implication and equivalence in quantum logic
type: Item
instance of: scholarly article
title: State-dependent implication and equivalence in quantum logic
zbMATH Open document ID: 1267.81035
DOI: 10.1155/2012/385341
author: F. Herbut
published in: Advances in Mathematical Physics
publication date: 2013-03-18T00:00:00Z
review text: The occurrence of an event (represented by a projector \(E\)) leads to a change of a state (represented by a density operator \(\rho\)) into the Lüders state \(E\rho E/[\mathrm{tr}(E\rho)]\). The author shows that two events \(E\) and \(F\) give the same Lüders state iff \(E\rho=F\rho\). The respective classes of equivalence are studied in detail, together with a discussion of a physical interpretation.
reviewed by: Mirko Navara
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 6145721
zbMATH Keywords: quantum measurement
zbMATH Keywords: state
zbMATH Keywords: Lüders state
zbMATH Keywords: projector
zbMATH Keywords: density operator
Wikidata QID: Q58699563
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/385341
OpenAlex ID: W2137923390
cites work: Q5847989
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cites work: On state-dependent implication in quantum-mechanical distant correlations
cites work: Q5841991
cites work: Q5521075
description: scientific article; zbMATH DE number 6145721