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W-Class States-Identification and Quantification of Bell-CHSH Inequalities' Violation
Joanna K Kalaga1, Wiesław Leoński1, Jan Peřina2
1Quantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland.
Entropy (Basel, Switzerland)
|January 8, 2025
Summary
This study explores entanglement and nonlocality in three-qubit systems. We identify conditions for violating Bell
Area of Science:
- Quantum Information Theory
- Multiqubit Entanglement Studies
- Quantum Nonlocality Research
Background:
- W-class states are crucial for understanding multipartite entanglement.
- Entanglement measures and nonlocality are key indicators of quantum correlations.
- Bell-CHSH inequality violation signifies genuine quantum nonlocality.
Purpose of the Study:
- To analyze the relationship between entanglement measures and nonlocality in three-qubit systems.
- To determine conditions for violating the Bell-CHSH inequality using negativity and concurrence.
- To establish ranges for mixedness that guarantee Bell-CHSH inequality violation or preservation.
Main Methods:
- Investigated W-class states for three-qubit systems.
- Analyzed a two-mode mixed state derived from a two-qubit subsystem.
- Utilized negativity and concurrence as entanglement measures.
- Examined the Bell-CHSH inequality for nonlocality detection.
Main Results:
- Derived conditions linking negativity (parameterized by concurrence) to Bell-CHSH inequality violation.
- Established value ranges for mixedness (parameterized by concurrence and negativity) for Bell-CHSH inequality violation.
- Identified ranges for mixedness ensuring non-violation of the Bell-CHSH inequality.
Conclusions:
- The study provides a comprehensive analysis of entanglement and nonlocality in W-class states.
- Specific conditions and parameter ranges are identified for Bell-CHSH inequality violation in three-qubit systems.
- This research contributes to understanding the boundary between quantum correlations and classical behavior.
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