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Geometric discord of tripartite quantum systems |
| Chunhe Xiong(熊春河)1,2,†, Wentao Qi(齐文韬)3, Maoke Miao(缪茂可)4, and Minghui Wu(吴明晖)2 |
1 Interdisciplinary Center for Quantum Information, School of Physics, Zhejiang University, Hangzhou 310027, China;
2 School of Computer and Computing Science, Hangzhou City University, Hangzhou 310015, China;
3 School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China;
4 School of information and electrical engineering, Hangzhou City University, Hangzhou 310015, China |
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Abstract We study the quantification of geometric discord for tripartite quantum systems. Firstly, we obtain the analytic formula of geometric discord for tripartite pure states. It is already known that the geometric discord of pure states reduces to the geometric entanglement in bipartite systems, the results presented here show that this property is no longer true in tripartite systems. Furthermore, we provide an operational meaning for tripartite geometric discord by linking it to quantum state discrimination, that is, we prove that the geometric discord of tripartite states is equal to the minimum error probability to discriminate a set of quantum states with von Neumann measurement. Lastly, we calculate the geometric discord of three-qubit Bell diagonal states and then investigate the dynamic behavior of tripartite geometric discord under local decoherence. It is interesting that the frozen phenomenon exists for geometric discord in this scenario.
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Received: 19 April 2023
Revised: 25 May 2023
Accepted manuscript online: 07 June 2023
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PACS:
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03.65.Aa
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(Quantum systems with finite Hilbert space)
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03.67.-a
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(Quantum information)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12201555) and China Postdoctoral Science Foundation (Grant No. 2021M702864). |
Corresponding Authors:
Chunhe Xiong
E-mail: xiongchunhe@zju.edu.cn
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Cite this article:
Chunhe Xiong(熊春河), Wentao Qi(齐文韬), Maoke Miao(缪茂可), and Minghui Wu(吴明晖) Geometric discord of tripartite quantum systems 2023 Chin. Phys. B 32 100301
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