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: 2981
Articles: 2'032'881
Articles rated: 2577

24 January 2021
 
  » arxiv » quant-ph/0507203

 Article overview


Hilbert-Schmidt Separability Probabilities and Noninformativity of Priors
Paul B. Slater ;
Date 20 Jul 2005
Subject quant-ph
AbstractThe Horodecki family employed the Jaynes maximum-entropy principle, fitting the mean (b_{1}) of the Bell-CHSH observable (B). This model was extended by Rajagopal by incorporating the dispersion (sigma_{1}^2) of the observable, and by Canosa and Rossignoli, by generalizing the observable (B_{alpha}). We further extend the Horodecki one-parameter model in both these manners, obtaining a three-parameter (b_{1},sigma_{1}^2,alpha) two-qubit model, for which we find a highly interesting/intricate continuum (-infty < alpha < infty) of Hilbert-Schmidt (HS) separability probabilities -- in which, the golden ratio is featured. Our model can be contrasted with the three-parameter (b_{q}, sigma_{q}^2,q) one of Abe and Rajagopal, which employs a q(Tsallis)-parameter rather than $alpha$, and has simply q-invariant HS separability probabilities of 1/2. Our results emerge in a study initially focused on embedding certain information metrics over the two-level quantum systems into a q-framework. We find evidence that Srednicki’s recently-stated biasedness criterion for noninformative priors yields rankings of priors fully consistent with an information-theoretic test of Clarke, previously applied to quantum systems by Slater.
Source arXiv, quant-ph/0507203
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 CCBot/2.0 (https://commoncrawl.org/faq/)






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2021 - Scimetrica