Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'488'730
Articles rated: 2609

29 March 2024
 
  » arxiv » quant-ph/0204001

 Article overview


On relations between probabilities under quantum and classical measurements
Andrei Khrennikov ; Elena Loubenets ;
Date 30 Mar 2002
Journal Foundations of Physics 34 (4), 689-704 (2004)
Subject quant-ph
AbstractWe show that the so-called quantum probabilistic rule, usually presented in the physical literature as an argument of the essential distinction between the probability relations under quantum and classical measurements, is not, as it is usually considered, in contrast to the rule for the addition of probabilities of incompatible events. The latter is, of course, valid under all measurement situations upon classical and quantum objects. We discuss also quantum measurement situation, which is similar to the classical one, corresponding to classical Bayes’ formula for conditional probabilities. We show the compatibility of description of this quantum measurement situation in the frame of purely classical and experimentally justified straight ward frequency arguments [Khrennikov (1999, 2000, 2001)] and in the frame of the quantum stochastic approach to the description of generalized quantum measurements (Loubenets (2000); Barndorff-Nielsen and Loubenets (2001)]. In view of derived results, we argue that even in the classical probability the classical Bayes’ formula describes a particular case of the considered measurement situation, which is specific for context-independent measurements. The similarity of the forms of the relation between the transformation of probabilities, which we derive in the frame of quantum stochastic approach and in the frame of straight ward frequency arguments, underlines once more that the projective (von Neumann) measurements correspond only to a very special kind of measurement situations in quantum theory.
Source arXiv, quant-ph/0204001
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica