Physics – Quantum Physics
Scientific paper
2009-11-04
New Journal of Physics, 13 (2011) 053054 (11p)
Physics
Quantum Physics
11 single column pages, 2 figures; v3 now includes a Bell inequality in addition to the results in the previous version
Scientific paper
10.1088/1367-2630/13/5/053054
Quantum nonlocality is typically assigned to systems of two or more well separated particles, but nonlocality can also exist in systems consisting of just a single particle, when one considers the subsystems to be distant spatial field modes. Single particle nonlocality has been confirmed experimentally via a bipartite Bell inequality. In this paper, we introduce an N-party Hardy-like proof of impossibility of local elements of reality and a Bell inequality for local realistic theories for a single particle superposed symmetrical over N spatial field modes (i.e. a N qubit W state). We show that, in the limit of large N, the Hardy-like proof effectively becomes an all-versus nothing (or GHZ-like) proof, and the quantum-classical gap of the Bell inequality tends to be same of the one in a three-particle GHZ experiment. We detail how to test the nonlocality in realistic systems.
Cabello Adan
Heaney Libby
Santos Fran\cca M.
Vedral Vlatko
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