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
Published in:Entropy (Basel, Switzerland) Switzerland), 2024-12, Vol.26 (12), p.1107
Main Authors: Kalaga, Joanna K, Leoński, Wiesław, Peřina, Jr, Jan
Format: Article
Language:English
Subjects:
Analysis
coherence
concurrence
Eigenvalues
Entanglement
Entropy
Inequalities (Mathematics)
Methods
nonlocality
Parameter estimation
Parameter identification
Parameterization
Quantum computing
quantum entanglement
Quantum physics
Subsystems
three-qubit system
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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
1099-4300
DOI:10.3390/e26121107