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Title: Quantum perfect correlations

Abstract

The notion of perfect correlations between arbitrary observables, or more generally arbitrary POVMs, is introduced in the standard formulation of quantum mechanics, and characterized by several well-established statistical conditions. The transitivity of perfect correlations is proved to generally hold, and applied to a simple articulation for the failure of Hardy's nonlocality proof for maximally entangled states. The notion of perfect correlations between observables and POVMs is used for defining the notion of a precise measurement of a given observable in a given state. A longstanding misconception on the correlation made by the measuring interaction is resolved in the light of the new theory of quantum perfect correlations.

Authors:
 [1]
  1. Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579 (Japan). E-mail: ozawa@math.is.tohoku.ac.jp
Publication Date:
OSTI Identifier:
20766997
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 321; Journal Issue: 3; Other Information: DOI: 10.1016/j.aop.2005.08.007; PII: S0003-4916(05)00139-9; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; LOCALITY; QUANTUM FIELD THEORY; QUANTUM MECHANICS; STATISTICAL MECHANICS

Citation Formats

Ozawa, Masanao. Quantum perfect correlations. United States: N. p., 2006. Web. doi:10.1016/j.aop.2005.08.007.
Ozawa, Masanao. Quantum perfect correlations. United States. doi:10.1016/j.aop.2005.08.007.
Ozawa, Masanao. Wed . "Quantum perfect correlations". United States. doi:10.1016/j.aop.2005.08.007.
@article{osti_20766997,
title = {Quantum perfect correlations},
author = {Ozawa, Masanao},
abstractNote = {The notion of perfect correlations between arbitrary observables, or more generally arbitrary POVMs, is introduced in the standard formulation of quantum mechanics, and characterized by several well-established statistical conditions. The transitivity of perfect correlations is proved to generally hold, and applied to a simple articulation for the failure of Hardy's nonlocality proof for maximally entangled states. The notion of perfect correlations between observables and POVMs is used for defining the notion of a precise measurement of a given observable in a given state. A longstanding misconception on the correlation made by the measuring interaction is resolved in the light of the new theory of quantum perfect correlations.},
doi = {10.1016/j.aop.2005.08.007},
journal = {Annals of Physics (New York)},
number = 3,
volume = 321,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}