Investigating nonclassicality of many qutrits by symmetric two-qubit operators
Marcin Markiewicz , Kamil Kostrzewa , Adrian Kołodziejski , Paweł Kurzyński , Wiesław Laskowski
AbstractWe 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.
|Journal series||Physical Review A, ISSN 1050-2947|
|Publication size in sheets||0.5|
|Score|| = 35.0, 29-12-2017, ArticleFromJournal|
= 35.0, 29-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 2.925 (2) - 2016=2.716 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.