Maximal non-classicality in multi-setting Bell inequalities

Armin Tavakoli , Stefan Zohren , Marcin Pawłowski


The discrepancy between maximally entangled states and maximally non-classical quantum correlations is well-known but still not well understood. We aim to investigate the relation between quantum correlations and entanglement in a family of Bell inequalities with N-settings and d outcomes. Using analytical as well as numerical techniques, we derive both maximal quantum violations and violations obtained from maximally entangled states. Furthermore, we study the most non-classical quantum states in terms of their entanglement entropy for large values of d and many measurement settings. Interestingly, we find that the entanglement entropy behaves very differently depending on whether N=2 or N>2: when N=2 the entanglement entropy is a monotone function of d and the most non-classical state is far from maximally entangled, whereas when N>2 the entanglement entropy is a non-monotone function of d and converges to that of the maximally entangled state in the limit of large d.
Author Armin Tavakoli
Armin Tavakoli,,
, Stefan Zohren
Stefan Zohren,,
, Marcin Pawłowski IFTiA
Marcin Pawłowski,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesJournal of Physics A-Mathematical and Theoretical, ISSN 1751-8113
Issue year2016
Publication size in sheets0.8
Keywords in EnglishBell inequality, quantum correlation, entanglement
Languageen angielski
Score (nominal)30
ScoreMinisterial score = 25.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 1.857 (2) - 2016=1.605 (5)
Citation count*0
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.