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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MDPI AG
2024-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/26/12/1107 |
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| author | Joanna K. Kalaga Wiesław Leoński Jan Peřina |
| author_facet | Joanna K. Kalaga Wiesław Leoński Jan Peřina |
| author_sort | Joanna K. Kalaga |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d8a89fade0ef4022a3abd9f026e6b445 |
| institution | DOAJ |
| issn | 1099-4300 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-d8a89fade0ef4022a3abd9f026e6b4452025-08-20T02:57:13ZengMDPI AGEntropy1099-43002024-12-012612110710.3390/e26121107W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ ViolationJoanna K. Kalaga0Wiesław Leoński1Jan Peřina2Quantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandQuantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandJoint Laboratory of Optics of Palacký University and Institute of Physics of AS CR, Faculty of Science, Palacký University, 17. listopadu 12, 779 00 Olomouc, Czech RepublicWe 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.https://www.mdpi.com/1099-4300/26/12/1107nonlocalitycoherencequantum entanglementconcurrencethree-qubit system |
| spellingShingle | Joanna K. Kalaga Wiesław Leoński Jan Peřina W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation Entropy nonlocality coherence quantum entanglement concurrence three-qubit system |
| title | W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation |
| title_full | W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation |
| title_fullStr | W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation |
| title_full_unstemmed | W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation |
| title_short | W-Class States—Identification and Quantification of Bell-CHSH Inequalities’ Violation |
| title_sort | w class states identification and quantification of bell chsh inequalities violation |
| topic | nonlocality coherence quantum entanglement concurrence three-qubit system |
| url | https://www.mdpi.com/1099-4300/26/12/1107 |
| work_keys_str_mv | AT joannakkalaga wclassstatesidentificationandquantificationofbellchshinequalitiesviolation AT wiesławleonski wclassstatesidentificationandquantificationofbellchshinequalitiesviolation AT janperina wclassstatesidentificationandquantificationofbellchshinequalitiesviolation |