Greenberger-Horne-Zeilinger paradoxes for many qudits

Physics – Quantum Physics

Scientific paper

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5 pages RevTex

Scientific paper

10.1103/PhysRevLett.89.080402

We construct GHZ contradictions for three or more parties sharing an
entangled state, the dimension d of each subsystem being an even integer
greater than 2. The simplest example that goes beyond the standard GHZ paradox
(three qubits) involves five ququats (d=4). We then examine the criteria a GHZ
paradox must satisfy in order to be genuinely M-partite and d-dimensional.

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