Greenberger-Horne-Zeilinger paradoxes for many qudits

Greenberger-Horne-Zeilinger paradoxes for many qudits

We construct Greenberger-Horne-Zeilinger (GHZ) contradictions for three or more parties sharing an entangled state, the dimension of each subsystem being an even integer d. The simplest example that goes beyond the standard GHZ paradox (three qubits) involves five ququats (d=4). We then examine the...

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Bibliographic Details
Published in:Physical review letters Vol. 89; no. 8; p. 080402
Main Authors: Cerf, Nicolas J, Massar, Serge, Pironio, Stefano
Format: Journal Article
Language:English
Published: United States 19-08-2002
Online Access:Get full text
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Summary:We construct Greenberger-Horne-Zeilinger (GHZ) contradictions for three or more parties sharing an entangled state, the dimension of each subsystem being an even integer d. The simplest example that goes beyond the standard GHZ paradox (three qubits) involves five ququats (d=4). We then examine the criteria that a GHZ paradox must satisfy in order to be genuinely M partite and d dimensional.
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ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.89.080402