Phys. Rev. A 65, 032108 (2002) [4 pages]Bell’s theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W statesSee Also: Erratum Received 31 July 2001; published 5 February 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.032108
DOI:
10.1103/PhysRevA.65.032108
PACS:
03.65.Ud, 03.65.Ta
See AlsoErratum: Adán Cabello, Erratum: Bell’s theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states [Phys. Rev. A 65, 032108 (2002)], Phys. Rev. A 85, 029903 (2012). |
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