Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states

Details Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states

2001-07-29

arxiv.org/abs/quant-ph/0107146v3

Phys. Rev. A 65 (2002) 032108

Physics

Quantum Physics

REVTeX4, 5 pages, 3 figures

Scientific paper

10.1103/PhysRevA.65.032108

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 Greenberger-Horne-Zeilinger (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.

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