document: Greenberger-Horne-Zeilinger paradoxes for many qubits We construct Greenberger-Horne-Zeilinger -LRB- GHZ -RRB- 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 -LRB- three qubits -RRB- involves five ququats -LRB- d = 4 -RRB- . We then examine the criteria that a GHZ paradox must satisfy in order to be genuinely M partite and d dimensional
doc_bio_tags: O O O B I O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O
extractive_keyphrases: many qubits entangled state ghz paradox
abstractive_keyphrases: greenberger-horne-zeilinger paradoxes ghz contradictions