par Massar, Serge ;Pironio, Stefano
Référence Physical review. A, General physics, 64, 6, 062108
Publication Publié, 2001
Article révisé par les pairs
Résumé : 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. © 2001 The American Physical Society.