2009/11/30 by Libby Heaney, Adán Cabello, Adan Cabello +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bell state #Bell test experiments #Bell's theorem #Cold Atom Physics and Bose-Einstein Condensates #Field (mathematics) #Impossibility #Law #Limit (mathematics) #Local hidden variable theory #Mathematical analysis #Mathematics #Photon #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Qubit #Theoretical physics #quant-ph
paper · pdf · doi:10.1088/1367-2630/13/5/053054
published as New Journal of Physics, 13 (2011) 053054 (11p) · 11 single column pages, 2 figures; v3 now includes a Bell inequality in addition to the results in the previous version
arxiv created 2011/03/22 · openalex publication_date 2011/05/27 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 the impossibility of local elements of reality and a Bell inequality for local realistic theories in the case of a single particle superposed symmetrically over N spatial field modes (i.e. N qubit W state). We show that, in the limit of large N , the Hardy-like proof effectively becomes an all-versus-nothing (or Greenberger–Horne–Zeilinger (GHZ)-like) proof, and the quantum-classical gap of the Bell inequality tends to be the same as that in a three-particle GHZ experiment. We describe how to test the nonlocality in realistic systems.