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 criteria that a GHZ paradox must satisfy in order to be genuinely M partite and d dimensional.
Ecole Polytechnique, CP 165, Université Libre de Bruxelles, 1050 Brussels, Belgium.
Nicolas J
NJ
Cerf
Serge
S
Massar
Stefano
S
Pironio