Mixedness, Coherence and Entanglement in a Family of Three-Qubit States
We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit–qubit states are strongly entangled when linear ent...
| Published in: | Entropy |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-02-01
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| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/24/3/324 |
| _version_ | 1851923079635140608 |
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| author | Joanna K. Kalaga Wiesław Leoński Radosław Szczȩśniak Jan Peřina |
| author_facet | Joanna K. Kalaga Wiesław Leoński Radosław Szczȩśniak Jan Peřina |
| author_sort | Joanna K. Kalaga |
| collection | DOAJ |
| container_title | Entropy |
| description | We consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit–qubit states are strongly entangled when linear entropy reaches some range of values. For such states, we derived the conditions determining boundary values of linear entropy parametrized by measures of coherence. |
| format | Article |
| id | doaj-art-7838c98aaa7c43c78b75301d75dbffdc |
| institution | Directory of Open Access Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-7838c98aaa7c43c78b75301d75dbffdc2025-08-19T21:57:35ZengMDPI AGEntropy1099-43002022-02-0124332410.3390/e24030324Mixedness, Coherence and Entanglement in a Family of Three-Qubit StatesJoanna K. Kalaga0Wiesław Leoński1Radosław Szczȩśniak2Jan Peřina3Quantum 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, PolandDivision of Physics, Czȩstochowa University of Technology, Ave. Armii Krajowej 19, 42-200 Czȩstochowa, PolandJoint Laboratory of Optics of Palacký University and Institute of Physics of CAS, Faculty of Science, Palacký University, 17. listopadu 12, 771 46 Olomouc, Czech RepublicWe consider a family of states describing three-qubit systems. We derived formulas showing the relations between linear entropy and measures of coherence such as degree of coherence, first- and second-order correlation functions. We show that qubit–qubit states are strongly entangled when linear entropy reaches some range of values. For such states, we derived the conditions determining boundary values of linear entropy parametrized by measures of coherence.https://www.mdpi.com/1099-4300/24/3/324quantum entanglementlinear entropycoherencepurity of statesconcurrencethree-qubit systems |
| spellingShingle | Joanna K. Kalaga Wiesław Leoński Radosław Szczȩśniak Jan Peřina Mixedness, Coherence and Entanglement in a Family of Three-Qubit States quantum entanglement linear entropy coherence purity of states concurrence three-qubit systems |
| title | Mixedness, Coherence and Entanglement in a Family of Three-Qubit States |
| title_full | Mixedness, Coherence and Entanglement in a Family of Three-Qubit States |
| title_fullStr | Mixedness, Coherence and Entanglement in a Family of Three-Qubit States |
| title_full_unstemmed | Mixedness, Coherence and Entanglement in a Family of Three-Qubit States |
| title_short | Mixedness, Coherence and Entanglement in a Family of Three-Qubit States |
| title_sort | mixedness coherence and entanglement in a family of three qubit states |
| topic | quantum entanglement linear entropy coherence purity of states concurrence three-qubit systems |
| url | https://www.mdpi.com/1099-4300/24/3/324 |
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