dorsal/arxiv
View SchemaBell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states
| Authors | Adan Cabello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107146 |
| URL | https://arxiv.org/abs/quant-ph/0107146 |
| DOI | 10.1103/PhysRevA.65.032108 |
| Journal | Phys. Rev. A 65 (2002) 032108 |
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.
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"abstract": "A proof of Bell\u0027s theorem without inequalities valid for both inequivalent\nclasses of three-qubit entangled states under local operations assisted by\nclassical communication, namely Greenberger-Horne-Zeilinger (GHZ) and W, is\ndescribed. This proof leads to a Bell inequality that allows more conclusive\ntests of Bell\u0027s theorem for three-qubit systems. Another Bell inequality\ninvolving both tri- and bipartite correlations is introduced which illustrates\nthe different violations of local realism exhibited by the GHZ and W states.",
"arxiv_id": "quant-ph/0107146",
"authors": [
"Adan Cabello"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.032108",
"journal_ref": "Phys. Rev. A 65 (2002) 032108",
"title": "Bell\u0027s theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states",
"url": "https://arxiv.org/abs/quant-ph/0107146"
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