Multisetting Bell inequality for qudits

Ji, Se-Wan; Lee, Jinhyoung; Lim, James; Nagata, Koji; Lee, Hai‐Woong

doi:10.1103/physreva.78.052103

Cited by 35 publications

(57 citation statements)

References 40 publications

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“…We would like to investigate whether this discrepancy occurs in entropic Bell inequalities. Examples of nontight Bell inequalities for qutrits violated by maximally entangled two-qutrit states were reported in [21] and [22].…”

Section: B Statementioning

confidence: 99%

Information-theoretic Bell inequalities based on Tsallis entropy

2015

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We numerically investigate entropic Bell inequalities for a pair of entangled qutrits using information-theoretic distances. We show that for this class of inequalities Tsallis entropy is more suitable than Shannon as it reveals non-classicality for a larger set of quantum states. Finally, we find that like probability based inequalities, entropic ones are maximally violated by the non-maximally entangled qutrit state.Comment: 5 pages, 4 figures, comments welcom

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Section: B Statementioning

confidence: 99%

Information-theoretic Bell inequalities based on Tsallis entropy

2015

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“…An equivalent inequality with the same properties was found in Refs. [32,33]. We can apply the same strategy for four qutrits starting with the GHZ state |GHZ 3 4 = (|0000 + |1111 + |2222 )/ √ 3.…”

Section: A Bell Inequalities From Entangled Statesmentioning

confidence: 99%

Operational approach to Bell inequalities: Application to qutrits

et al. 2016

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In this work we develop two methods to construct Bell inequalities for multipartite systems. By considering non-hermitian operators we study Bell inequalities for the cases of three settings, three outcomes and three to six parties. The maximal value achieved in the framework of quantum theory is computed for subsystems with three levels each. The other technique, based on a mapping from pure entangled states to Bell operators, allows us to construct further multipartite Bell inequalities. As a consequence, we reproduce some known results in a novel way and find some multipartite Bell inequalities for systems having three settings and three outcomes per party.

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“…This inequality was rediscovered (in a different form) in [70] and has been discussed as a specific case of a family of generalization of the CHSH Bell inequalities [69,[71][72][73][74][75]. Maximal quantum violation ( 0.7124 » ) of this inequality can be achieved by (locally) performing mutually unbiased measurements on the maximally entangled two-qutrit state [69] (see also [70]), i.e.,…”

Section: Robustness Of Quantum Violation Of Bell Inequalitiesmentioning

confidence: 99%