Bell measurement ruling out supraquantum correlations

Łukasz Czekaj , Michał Horodecki , Tomasz Ignacy Tylec


The 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.
Author Łukasz Czekaj
Łukasz Czekaj,,
, Michał Horodecki (FMPI / ITPA)
Michał Horodecki,,
- Institute of Theoretical Physics and Astrophysics
, Tomasz Ignacy Tylec (FMPI / ITPA)
Tomasz Ignacy Tylec,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesPhysical Review A, ISSN 1050-2947, (A 35 pkt)
Issue year2018
Publication size in sheets0.5
Keywords in Englishno-signaling correlations, Bell measurement
ASJC Classification3107 Atomic and Molecular Physics, and Optics
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 28-01-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.886; WoS Impact Factor: 2018 = 2.907 (2) - 2018=2.723 (5)
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