Upper bounds on violation of Bell-type inequalities by a multipartite quantum state
Quantum Physics
2011-08-02 v1 Mathematical Physics
math.MP
Abstract
We present the new exact upper bounds on the maximal Bell violation for the generalized N-qubit GHZ state, the N-qudit GHZ state and, in general, for an arbitrary N-partite quantum state, possibly infinite-dimensional. Our results indicate that, for an N-partite quantum state of any Hilbert space dimension, violation of any Bell-type inequality (either on correlation functions or on joint probabilities) with S settings and any number of outcomes at each site cannot exceed (2S-1)^{N-1}.
Cite
@article{arxiv.1108.0263,
title = {Upper bounds on violation of Bell-type inequalities by a multipartite quantum state},
author = {Elena R. Loubenets},
journal= {arXiv preprint arXiv:1108.0263},
year = {2011}
}
Comments
Concise presentation of the main results on Bell inequalities in arXiv:1104.2289, reported at ICQT, July 13-17, 2011, Skolkovo, Russia