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arxiv: 1004.4874 · v2 · submitted 2010-04-27 · 🪐 quant-ph

All-versus-nothing proofs with n qubits distributed between m parties

classification 🪐 quant-ph
keywords partiesproofsall-versus-nothingdistributedmethodn-qubitqubitssome
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All-versus-nothing (AVN) proofs show the conflict between Einstein, Podolsky, and Rosen's elements of reality and the perfect correlations of some quantum states. Given an n-qubit state distributed between m parties, we provide a method with which to decide whether this distribution allows an m-partite AVN proof specific for this state using only single-qubit measurements. We apply this method to some recently obtained n-qubit m-particle states. In addition, we provide all inequivalent AVN proofs with less than nine qubits and a minimum number of parties.

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