Universal complementarity between coherence and intrinsic concurrence for two-qubit states
Entanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there is a direct link between them. In this work, we propose a definition of intrinsic concurrence for two-qubit states. Although the intrinsic concurrence is not...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab41b1 |
| _version_ | 1827872640117768192 |
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| author | Xiao-Gang Fan Wen-Yang Sun Zhi-Yong Ding Fei Ming Huan Yang Dong Wang Liu Ye |
| author_facet | Xiao-Gang Fan Wen-Yang Sun Zhi-Yong Ding Fei Ming Huan Yang Dong Wang Liu Ye |
| author_sort | Xiao-Gang Fan |
| collection | DOAJ |
| description | Entanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there is a direct link between them. In this work, we propose a definition of intrinsic concurrence for two-qubit states. Although the intrinsic concurrence is not a measure of entanglement, it embodies the concurrence of four pure states which are members of a special pure state ensemble for an arbitrary two-qubit state. And we show that intrinsic concurrence is always complementary to first-order coherence. In fact, this relation is an extension of the complementary relation satisfied by two-qubit pure states. Interestingly, we apply the complementary relation in some composite systems composed by a single-qubit state coupling with four typical noise channels respectively, and discover their mutual transformation relation between concurrence and first-order coherence. This universal complementarity provides reliable theoretical basis for the interconversion of the two important quantum resources. |
| first_indexed | 2024-03-12T16:27:42Z |
| format | Article |
| id | doaj.art-a4240cc0d2954b7591cb8b695dbc903f |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:27:42Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a4240cc0d2954b7591cb8b695dbc903f2023-08-08T15:40:38ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121909305310.1088/1367-2630/ab41b1Universal complementarity between coherence and intrinsic concurrence for two-qubit statesXiao-Gang Fan0Wen-Yang Sun1Zhi-Yong Ding2Fei Ming3Huan Yang4Dong Wang5Liu Ye6School of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of ChinaSchool of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of ChinaSchool of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of ChinaSchool of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of ChinaSchool of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of ChinaSchool of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of China; CAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of ChinaSchool of Physics & Material Science, Anhui University , Hefei 230601, People’s Republic of ChinaEntanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there is a direct link between them. In this work, we propose a definition of intrinsic concurrence for two-qubit states. Although the intrinsic concurrence is not a measure of entanglement, it embodies the concurrence of four pure states which are members of a special pure state ensemble for an arbitrary two-qubit state. And we show that intrinsic concurrence is always complementary to first-order coherence. In fact, this relation is an extension of the complementary relation satisfied by two-qubit pure states. Interestingly, we apply the complementary relation in some composite systems composed by a single-qubit state coupling with four typical noise channels respectively, and discover their mutual transformation relation between concurrence and first-order coherence. This universal complementarity provides reliable theoretical basis for the interconversion of the two important quantum resources.https://doi.org/10.1088/1367-2630/ab41b1concurrenceintrinsic concurrencefirst-order coherencecomplementarity |
| spellingShingle | Xiao-Gang Fan Wen-Yang Sun Zhi-Yong Ding Fei Ming Huan Yang Dong Wang Liu Ye Universal complementarity between coherence and intrinsic concurrence for two-qubit states New Journal of Physics concurrence intrinsic concurrence first-order coherence complementarity |
| title | Universal complementarity between coherence and intrinsic concurrence for two-qubit states |
| title_full | Universal complementarity between coherence and intrinsic concurrence for two-qubit states |
| title_fullStr | Universal complementarity between coherence and intrinsic concurrence for two-qubit states |
| title_full_unstemmed | Universal complementarity between coherence and intrinsic concurrence for two-qubit states |
| title_short | Universal complementarity between coherence and intrinsic concurrence for two-qubit states |
| title_sort | universal complementarity between coherence and intrinsic concurrence for two qubit states |
| topic | concurrence intrinsic concurrence first-order coherence complementarity |
| url | https://doi.org/10.1088/1367-2630/ab41b1 |
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