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Chin. Phys. B, 2022, Vol. 31(9): 090303    DOI: 10.1088/1674-1056/ac67c0
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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
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.
Keywords:  probabilistic quantum teleportation      shared quantum secret      partially entangled GHZ state  
Received:  17 January 2022      Revised:  04 March 2022      Accepted manuscript online:  18 April 2022
PACS:  03.67.-a (Quantum information)  
  03.67.Hk (Quantum communication)  
  03.65.Ud (Entanglement and quantum nonlocality)  
Fund: 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).
Corresponding Authors:  Jian Li     E-mail:  lijian@bupt.edu.cn

Cite this article: 

Hengji Li(李恒吉), Jian Li(李剑), and Xiubo Chen(陈秀波) Probabilistic quantum teleportation of shared quantum secret 2022 Chin. Phys. B 31 090303

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