Extreme nonlocality with one photon
Abstract
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.
Cite
@article{arxiv.0911.0770,
title = {Extreme nonlocality with one photon},
author = {Libby Heaney and Adan Cabello and Marcelo F. Santos and Vlatko Vedral},
journal= {arXiv preprint arXiv:0911.0770},
year = {2015}
}
Comments
11 single column pages, 2 figures; v3 now includes a Bell inequality in addition to the results in the previous version