Investigating nonclassicality of many qutrits by symmetric two-qubit operators

Marcin Markiewicz , Kamil Kostrzewa , Adrian Kołodziejski , Paweł Kurzyński , Wiesław Laskowski


We introduce a method of investigating qutrit conclassicality by translating qutrit operators to symmetric two-qubit operators. We show that this procedure sheds light on the discrepancy between maximal qutrit entanglement and maximal nonclassicality of qutrit correlations. Namely, we express Bell operators corresponding to qutrit Bell inequalities in terms of symmetric two-qubit operators and analyze the maximal quantum violation of a given Bell inequality from the qubit perspective. As an example we show that the two-qutrit Collins-Gisin-Linden-Massar-Popescu (CGLMP) Bell inequality can be seen as a combination of Mermin’s and Clauser-Horne-Shimony-Holt CHSH) qubit Bell inequalities, and therefore the optimal state violating this combination differs from the one which corresponds to the maximally entangled state of two qutrits. In addition, we discuss the same problem for a three-qutrit inequality. We also demonstrate that the maximal quantum violation of the CGLMP inequality follows from complementarity of correlations.
Author Marcin Markiewicz
Marcin Markiewicz ,,
, Kamil Kostrzewa IFTiA
Kamil Kostrzewa,,
- Institute of Theoretical Physics and Astrophysics
, Adrian Kołodziejski IFTiA
Adrian Kołodziejski ,,
- Institute of Theoretical Physics and Astrophysics
, Paweł Kurzyński
Paweł Kurzyński,,
, Wiesław Laskowski IFTiA
Wiesław Laskowski,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesPhysical Review A, ISSN 1050-2947
Issue year2016
Publication size in sheets0.5
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 35.0, 29-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 29-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 2.925 (2) - 2016=2.716 (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.