Phys. Rev. Lett. 99, 220402 (2007) [4 pages]Bipartite All-Versus-Nothing Proofs of Bell’s Theorem with Single-Qubit MeasurementsReceived 17 May 2007; published 27 November 2007 If n qubits were distributed between 2 parties, which quantum pure states and distributions of qubits would allow all-versus-nothing (or Greenberger-Horne-Zeilinger-like) proofs of Bell’s theorem using only single-qubit measurements? We show a necessary and sufficient condition for the existence of these proofs for any number of qubits, and provide all distinct proofs up to n=7 qubits. Remarkably, there is only one distribution of a state of n=4 qubits, and six distributions, each for a different state of n=6 qubits, which allow these proofs. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.220402
DOI:
10.1103/PhysRevLett.99.220402
PACS:
03.65.Ud, 03.65.Ta, 03.67.Mn, 42.50.Xa
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