Bell's theorem with and without inequalities for all three-qubit entangled states

Preprint

30 July 2001

preprint
Published by arXiv in arXiv

Abstract

A proof of Bell's theorem without inequalities valid for both inequivalent classes of three-qubit entangled states under local operations assisted by classical communication, namely GHZ and W, is described. This proof leads to a Bell inequality that allows more conclusive tests of Bell's theorem for three-qubit systems. Another Bell inequality involving both tri- and bipartite correlations is introduced which illustrates the different violations of local realism exhibited by the GHZ and W states.

Keywords

THEOREM WITHOUT INEQUALITIES
BIPARTITE CORRELATIONS
ENTANGLED STATES
QUBIT ENTANGLED
BELL INEQUALITY
BELL'S THEOREM

All Related Versions

Version 1, 2001-07-30, ArXiv
Version 2, 2001-10-21, ArXiv
Version 3, 2002-02-05, ArXiv
Published version: Physical Review A, 65 (3), 032108.

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