Genuine Einstein-Podolsky-Rosen steering of generalized three-qubit states via unsharp measurements

doi:10.1088/1674-1056/acac14

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40309-040309.doi: 10.1088/1674-1056/acac14

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

收稿日期:2022-10-14 修回日期:2022-11-24 接受日期:2022-12-16 出版日期:2023-03-10 发布日期:2023-03-30
通讯作者: Fenzhuo Guo, Shihui Wei E-mail:gfenzhuo@bupt.edu.cn;wei.shihui07403@westone.com.cn
基金资助:
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).

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

Received:2022-10-14 Revised:2022-11-24 Accepted:2022-12-16 Online:2023-03-10 Published:2023-03-30
Contact: Fenzhuo Guo, Shihui Wei E-mail:gfenzhuo@bupt.edu.cn;wei.shihui07403@westone.com.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: quantum information, quantum steering, generalized Greenberger-Horne-Zeilinger (GHZ) state

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.

Key words: quantum information, quantum steering, generalized Greenberger-Horne-Zeilinger (GHZ) state

中图分类号: (Quantum cryptography and communication security)

03.67.Dd

03.67.Hk (Quantum communication) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

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[J]. 中国物理B, 2023, 32(4): 40309-040309.

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Genuine Einstein-Podolsky-Rosen steering of generalized three-qubit states via unsharp measurements

Genuine Einstein-Podolsky-Rosen steering of generalized three-qubit states via unsharp measurements

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