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arXiv · 0705.2613

Bipartite all-versus-nothing proofs of Bell's theorem with single-qubit measurements

Adan Cabello·Pilar Moreno
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Abstract

If we distribute n qubits between two 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.

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Adan Cabello, Pilar Moreno. 2007-11-28. Bipartite all-versus-nothing proofs of Bell's theorem with single-qubit measurements. https://doi.org/10.1103/physrevlett.99.220402

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