Bell measurement ruling out supraquantum correlations
Łukasz Czekaj , Michał Horodecki , Tomasz Ignacy Tylec
AbstractThe so-called bipartite nonsignaling boxes are systems whose statistics is constrained solely by the principle of no instantaneous signaling between distant locations. Such systems can exhibit much stronger correlations than those admitted by quantum mechanics. Inspired by the quantum logic approach of Tylec and Ku´s [J. Phys. A: Math. Theor. 48, 505303 (2015)], we consider nonsignaling boxes with three inputs per party and extend the set of measurements with just a single global measurement—one that mimics a quantum two-party Bell measurement. We then show that this seemingly mild extension completely rules out supraquantum correlations: the resulting system admits precisely quantum-mechanical correlations of two qubits. We also consider nonmaximally entangled measurements, obtaining interpolation between quantum and full nonsignaling theory. Our study paves theway to a general program of amending nonsignaling theorieswith some measurements inherited from quantum mechanics, leading to various interpolations between nonsignaling boxes and quantum mechanics.
|Journal series||Physical Review A, ISSN 1050-2947, (A 35 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||no-signaling correlations, Bell measurement|
|Score||= 35.0, 28-01-2020, ArticleFromJournal|
|Publication indicators||= 0; : 2017 = 0.886; : 2018 = 2.907 (2) - 2018=2.723 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.