2001/03/09 by Serge Massar, Stefano Pironio · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physreva.64.062108
published as Phys. Rev. A 64, 062108 (2001) · 4 pages, no figures
arxiv created 2001/03/09 · openalex publication_date 2001/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show how to construct states for which a Greenberger-Horne-Zeilinger-type paradox occurs if each party measures either the position or momentum of his particle. The paradox can be ascribed to the anticommutation of certain translation operators in phase space. We then rephrase the paradox in terms of modular and binary variables. The origin of the paradox is then due to the fact that the associativity of addition of modular variables is true only for c numbers but does not hold for operators.