W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation

We discuss a family of W-class states describing three-qubit systems. For such systems, we analyze the relations between the entanglement measures and the nonlocality parameter for a two-mode mixed state related to the two-qubit subsystem. We find the conditions determining the boundary values of th...

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Bibliographic Details
Main Authors: Joanna K. Kalaga, Wiesław Leoński, Jan Peřina
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/26/12/1107
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Summary:We discuss a family of W-class states describing three-qubit systems. For such systems, we analyze the relations between the entanglement measures and the nonlocality parameter for a two-mode mixed state related to the two-qubit subsystem. We find the conditions determining the boundary values of the negativity, parameterized by concurrence, for violating the Bell-CHSH inequality. Additionally, we derive the value ranges of the mixedness measure, parameterized by concurrence and negativity for the qubit–qubit mixed state, guaranteeing the violation and non-violation of the Bell-CHSH inequality.
ISSN:1099-4300