Probabilistic quantum teleportation of shared quantum secret

doi:10.1088/1674-1056/ac67c0

中国物理B ›› 2022, Vol. 31 ›› Issue (9): 90303-090303.doi: 10.1088/1674-1056/ac67c0

Probabilistic quantum teleportation of shared quantum secret

Hengji Li(李恒吉)^1,4, Jian Li(李剑)^2,3,†, and Xiubo Chen(陈秀波)²

1 School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 School of Cyberspace Security, Beijing University of Posts and Telecommunications, Beijing 100876, China;
3 The Laboratory of Cryptography of Zhejiang Province, Hangzhou 311121, China;
4 Quantum Technology Laboratory and Applied Mechanics Group, University of Milan, Milan 20133, Italy

收稿日期:2022-01-17 修回日期:2022-03-04 接受日期:2022-04-18 出版日期:2022-08-19 发布日期:2022-09-03
通讯作者: Jian Li E-mail:lijian@bupt.edu.cn
基金资助:
Project supported by the Open Fund of Advanced Cryptography and System Security Key Laboratory of Sichuan Province, China (Grant No. SKLACSS-202108), the Open Research Fund of Key Laboratory of Cryptography of Zhejiang Province, China (Grant No. ZCL21006), the National Natural Science Foundation of China (Grant Nos. U1636106, 92046001, 61671087, 61962009, and 61170272), the BUPT Excellent Ph.D. Students Foundation (Grant No. CX2020310), Natural Science Foundation of Beijing Municipality, China (Grant No. 4182006), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2019XD-A02).

Probabilistic quantum teleportation of shared quantum secret

Hengji Li(李恒吉)^1,4, Jian Li(李剑)^2,3,†, and Xiubo Chen(陈秀波)²

1 School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 School of Cyberspace Security, Beijing University of Posts and Telecommunications, Beijing 100876, China;
3 The Laboratory of Cryptography of Zhejiang Province, Hangzhou 311121, China;
4 Quantum Technology Laboratory and Applied Mechanics Group, University of Milan, Milan 20133, Italy

Received:2022-01-17 Revised:2022-03-04 Accepted:2022-04-18 Online:2022-08-19 Published:2022-09-03
Contact: Jian Li E-mail:lijian@bupt.edu.cn
Supported by:
Project supported by the Open Fund of Advanced Cryptography and System Security Key Laboratory of Sichuan Province, China (Grant No. SKLACSS-202108), the Open Research Fund of Key Laboratory of Cryptography of Zhejiang Province, China (Grant No. ZCL21006), the National Natural Science Foundation of China (Grant Nos. U1636106, 92046001, 61671087, 61962009, and 61170272), the BUPT Excellent Ph.D. Students Foundation (Grant No. CX2020310), Natural Science Foundation of Beijing Municipality, China (Grant No. 4182006), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2019XD-A02).

摘要/Abstract

摘要： Very recently, Lee et al. proposed a secure quantum teleportation protocol to transfer shared quantum secret between multiple parties in a network[Phys. Rev. Lett. 124 060501 (2020)]. This quantum network is encoded with a maximally entangled GHZ state. In this paper, we consider a partially entangled GHZ state as the entanglement channel, where it can achieve, probabilistically, unity fidelity transfer of the state. Two kinds of strategies are given. One arises when an auxiliary particle is introduced and a general evolution at any receiver's location is then adopted. The other one involves performing a single generalized Bell-state measurement at the location of any sender. This could allow the receivers to recover the transmitted state with a certain probability, in which only the local Pauli operators are performed, instead of introducing an auxiliary particle. In addition, the successful probability is provided, which is determined by the degree of entanglement of the partially multipartite entangled state. Moreover, the proposed protocol is robust against the bit and phase flip noise.

关键词: probabilistic quantum teleportation, shared quantum secret, partially entangled GHZ state

Abstract: Very recently, Lee et al. proposed a secure quantum teleportation protocol to transfer shared quantum secret between multiple parties in a network[Phys. Rev. Lett. 124 060501 (2020)]. This quantum network is encoded with a maximally entangled GHZ state. In this paper, we consider a partially entangled GHZ state as the entanglement channel, where it can achieve, probabilistically, unity fidelity transfer of the state. Two kinds of strategies are given. One arises when an auxiliary particle is introduced and a general evolution at any receiver's location is then adopted. The other one involves performing a single generalized Bell-state measurement at the location of any sender. This could allow the receivers to recover the transmitted state with a certain probability, in which only the local Pauli operators are performed, instead of introducing an auxiliary particle. In addition, the successful probability is provided, which is determined by the degree of entanglement of the partially multipartite entangled state. Moreover, the proposed protocol is robust against the bit and phase flip noise.

Key words: probabilistic quantum teleportation, shared quantum secret, partially entangled GHZ state

中图分类号: (Quantum information)

03.67.-a

03.67.Hk (Quantum communication) 03.65.Ud (Entanglement and quantum nonlocality)

Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波). Probabilistic quantum teleportation of shared quantum secret[J]. 中国物理B, 2022, 31(9): 90303-090303.

Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波). Probabilistic quantum teleportation of shared quantum secret[J]. Chin. Phys. B, 2022, 31(9): 90303-090303.

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Probabilistic quantum teleportation of shared quantum secret

Probabilistic quantum teleportation of shared quantum secret

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