Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states
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 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.
- Publication:
-
Physical Review A
- Pub Date:
- March 2002
- DOI:
- 10.1103/PhysRevA.65.032108
- arXiv:
- arXiv:quant-ph/0107146
- Bibcode:
- 2002PhRvA..65c2108C
- Keywords:
-
- 03.65.Ud;
- 03.65.Ta;
- Entanglement and quantum nonlocality;
- Foundations of quantum mechanics;
- measurement theory;
- Quantum Physics
- E-Print:
- REVTeX4, 5 pages, 3 figures