Two versions of the projection postulate: from EPR argument to one-way quantum computing and teleportation
type: Item
instance of: scholarly article
title: Two versions of the projection postulate: from EPR argument to one-way quantum computing and teleportation
zbMATH Open document ID: 1201.81007
DOI: 10.1155/2010/945460
published in: Advances in Mathematical Physics
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/227503
review text: Summary: Nowadays it is practically forgotten that for observables with degenerate spectra the original von Neumann projection postulate differs crucially from the version of the projection postulate which was later formalized by Lüders. The latter (and not that due to von Neumann) plays the crucial role in the basic constructions of quantum information theory. We start this paper with the presentation of the notions related to the projection postulate. Then we remind that the argument of Einstein-Podolsky-Rosen against completeness of QM was based on the version of the projection postulate which is nowadays called Lüders postulate. Then we recall that all basic measurements on composite systems are represented by observables with degenerate spectra. This implies that the difference in the formulation of the projection postulate (due to von Neumann and Lüders) should be taken into account seriously in the analysis of the basic constructions of quantum information theory. This paper is a review devoted to such an analysis.
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 81P45
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 81-02
zbMATH DE Number: 5816379
Wikidata QID: Q58650090
author: Andrei Khrennikov
MaRDI profile type: Publication
OpenAlex ID: W1993011892
cites work: Q5532477
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description: scientific article; zbMATH DE number 5816379