Upper bounds on violation of Bell-type inequalities by a multipartite quantum state

2011/08/01 by Elena R. Loubenets, Loubenets, Elena R. · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1108.0263

Concise presentation of the main results on Bell inequalities in arXiv:1104.2289, reported at ICQT, July 13-17, 2011, Skolkovo, Russia

arxiv created 2011/08/01 · arxiv updated 2011/08/02

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.

Cited by

• Upper Bounding Hilbert Space Dimensions which can Realize all the Quantum Correlations

Related

• Maximal violation of the Ardehali's inequality of n qubits
• Violation of general Bell inequalities by a pure bipartite quantum state
• Extending the class of quantum states that do not allow local realistic description
• Small violations of Bell inequalities for multipartite pure random states
• Maximal violation of Mermin's inequalities