Quantum states satisfying classical probability constraints

Elena R. Loubenets. "Quantum states satisfying classical probability constraints." Banach Center Publications 73.1 (2006): 325-337. <http://eudml.org/doc/282091>.

@article{ElenaR2006,
abstract = {For linear combinations of quantum product averages in an arbitrary bipartite state, we derive new quantum Bell-form and CHSH-form inequalities with the right-hand sides expressed in terms of a bipartite state. This allows us to specify bipartite state properties sufficient for the validity of a classical CHSH-form inequality and the perfect correlation form of the original Bell inequality for any bounded quantum observables. We also introduce a new general condition on a bipartite state and quantum observables sufficient for the validity of the original Bell inequality, in its perfect correlation or anticorrelation forms. Under this general sufficient condition, a bipartite quantum state does not necessarily exhibit Bell's perfect correlations or anticorrelations.},
author = {Elena R. Loubenets},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {325-337},
title = {Quantum states satisfying classical probability constraints},
url = {http://eudml.org/doc/282091},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Elena R. Loubenets
TI - Quantum states satisfying classical probability constraints
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 325
EP - 337
AB - For linear combinations of quantum product averages in an arbitrary bipartite state, we derive new quantum Bell-form and CHSH-form inequalities with the right-hand sides expressed in terms of a bipartite state. This allows us to specify bipartite state properties sufficient for the validity of a classical CHSH-form inequality and the perfect correlation form of the original Bell inequality for any bounded quantum observables. We also introduce a new general condition on a bipartite state and quantum observables sufficient for the validity of the original Bell inequality, in its perfect correlation or anticorrelation forms. Under this general sufficient condition, a bipartite quantum state does not necessarily exhibit Bell's perfect correlations or anticorrelations.
LA - eng
UR - http://eudml.org/doc/282091
ER -