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Genuine Einstein-Podolsky-Rosen steering of generalized three-qubit states via unsharp measurements |
| Yuyu Chen(陈玉玉)1,2,3, Fenzhuo Guo(郭奋卓)1,2,3,†, Shihui Wei(魏士慧)4,‡, and Qiaoyan Wen(温巧燕)3 |
1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 Henan Key Laboratory of Network Cryptography Technology, Zhengzhou 450001, China;
3 State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
4 CETC Cyberspace Security Technology Co., Ltd., Beijing 100041, China |
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Abstract We aim to explore all possible scenarios of ($ 1 \rightarrow 2 $) (where one wing is untrusted and the others two wings are trusted) and ($ 2 \rightarrow 1 $) (where two wings are untrusted, and one wing is trusted) genuine tripartite Einstein-Podolsky-Rosen (EPR) steering. The generalized Greenberger-Horne-Zeilinger (GHZ) state is shared between three spatially separated parties, Alice, Bob and Charlie. In both ($ 1 \rightarrow 2 $) and ($ 2 \rightarrow 1 $), we discuss the untrusted party and trusted party performing a sequence of unsharp measurements, respectively. For each scenario, we deduce an upper bound on the number of sequential observers who can demonstrate genuine EPR steering through the quantum violation of tripartite steering inequality. The results show that the maximum number of observers for the generalized GHZ states can be the same with that of the maximally GHZ state in a certain range of state parameters. Moreover, both the sharpness parameters range and the state parameters range in the scenario of ($ 1 \rightarrow 2 $) steering are larger than those in the scenario of ($ 2 \rightarrow 1 $) steering.
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Received: 14 October 2022
Revised: 24 November 2022
Accepted manuscript online: 16 December 2022
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PACS:
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03.67.Dd
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(Quantum cryptography and communication security)
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03.67.Hk
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(Quantum communication)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 62171056 and 61973021) and Henan Key Laboratory of Network Cryptography Technology (Grant No. LNCT2022-A03). |
Corresponding Authors:
Fenzhuo Guo, Shihui Wei
E-mail: gfenzhuo@bupt.edu.cn;wei.shihui07403@westone.com.cn
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Cite this article:
Yuyu Chen(陈玉玉), Fenzhuo Guo(郭奋卓), Shihui Wei(魏士慧), and Qiaoyan Wen(温巧燕) Genuine Einstein-Podolsky-Rosen steering of generalized three-qubit states via unsharp measurements 2023 Chin. Phys. B 32 040309
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