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Title: Quantum-mechanical realization of a Popescu-Rohrlich box

Abstract

We consider quantum ensembles which are determined by pre- and post-selection. Unlike the case of only preselected ensembles, we show that in this case the probabilities for measurement outcomes at intermediate times satisfy causality only rarely; such ensembles can in general be used to signal between causally disconnected regions. We show that under restrictive conditions, there are certain nontrivial bipartite ensembles which do satisfy causality. These ensembles give rise to a violation of the Clauser-Horne-Shimony-Holt inequality, which exceeds the maximal quantum violation given by Tsirelson's bound B{sub CHSH}{<=}2{radical}(2) and obtains the Popescu-Rohrlich bound for the maximal violation, B{sub CHSH}{<=}4. This may be regarded as an a posteriori realization of supercorrelations, which have recently been termed Popescu-Rohrlich boxes.

Authors:
; ;  [1]
  1. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978 (Israel)
Publication Date:
OSTI Identifier:
20982061
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.022102; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAUSALITY; CORRELATIONS; PROBABILITY; QUANTUM MECHANICS; VIOLATIONS

Citation Formats

Marcovitch, Samuel, Reznik, Benni, and Vaidman, Lev. Quantum-mechanical realization of a Popescu-Rohrlich box. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.022102.
Marcovitch, Samuel, Reznik, Benni, & Vaidman, Lev. Quantum-mechanical realization of a Popescu-Rohrlich box. United States. doi:10.1103/PHYSREVA.75.022102.
Marcovitch, Samuel, Reznik, Benni, and Vaidman, Lev. Thu . "Quantum-mechanical realization of a Popescu-Rohrlich box". United States. doi:10.1103/PHYSREVA.75.022102.
@article{osti_20982061,
title = {Quantum-mechanical realization of a Popescu-Rohrlich box},
author = {Marcovitch, Samuel and Reznik, Benni and Vaidman, Lev},
abstractNote = {We consider quantum ensembles which are determined by pre- and post-selection. Unlike the case of only preselected ensembles, we show that in this case the probabilities for measurement outcomes at intermediate times satisfy causality only rarely; such ensembles can in general be used to signal between causally disconnected regions. We show that under restrictive conditions, there are certain nontrivial bipartite ensembles which do satisfy causality. These ensembles give rise to a violation of the Clauser-Horne-Shimony-Holt inequality, which exceeds the maximal quantum violation given by Tsirelson's bound B{sub CHSH}{<=}2{radical}(2) and obtains the Popescu-Rohrlich bound for the maximal violation, B{sub CHSH}{<=}4. This may be regarded as an a posteriori realization of supercorrelations, which have recently been termed Popescu-Rohrlich boxes.},
doi = {10.1103/PHYSREVA.75.022102},
journal = {Physical Review. A},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}