中国物理B ›› 2018, Vol. 27 ›› Issue (11): 110302-110302.doi: 10.1088/1674-1056/27/11/110302

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Hierarchical and probabilistic quantum information splitting of an arbitrary two-qubit state via two cluster states

Wen-Ming Guo(郭文明), Lei-Ru Qin(秦蕾茹)   

  1. School of Software Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 收稿日期:2018-06-03 修回日期:2018-08-26 出版日期:2018-11-05 发布日期:2018-11-05
  • 通讯作者: Wen-Ming Guo E-mail:guowenming_bupt@163.com
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 61671087).

Hierarchical and probabilistic quantum information splitting of an arbitrary two-qubit state via two cluster states

Wen-Ming Guo(郭文明), Lei-Ru Qin(秦蕾茹)   

  1. School of Software Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2018-06-03 Revised:2018-08-26 Online:2018-11-05 Published:2018-11-05
  • Contact: Wen-Ming Guo E-mail:guowenming_bupt@163.com
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 61671087).

摘要:

Based on non-maximally entangled four-particle cluster states, we propose a new hierarchical information splitting protocol to probabilistically realize the quantum state sharing of an arbitrary unknown two-qubit state. In this scheme, the sender transmits the two-qubit secret state to three agents who are divided into two grades with two Bell-state measurements, and broadcasts the measurement results via a classical channel. One agent is in the upper grade and two agents are in the lower grade. The agent in the upper grade only needs to cooperate with one of the other two agents to recover the secret state but both of the agents in the lower grade need help from all of the agents. Every agent who wants to recover the secret state needs to introduce two ancillary qubits and performs a positive operator-valued measurement (POVM) instead of the usual projective measurement. Moreover, due to the symmetry of the cluster state, we extend this protocol to multiparty agents.

关键词: cluster state, hierarchical quantum information splitting, positive operator-valued measurement (POVM)

Abstract:

Based on non-maximally entangled four-particle cluster states, we propose a new hierarchical information splitting protocol to probabilistically realize the quantum state sharing of an arbitrary unknown two-qubit state. In this scheme, the sender transmits the two-qubit secret state to three agents who are divided into two grades with two Bell-state measurements, and broadcasts the measurement results via a classical channel. One agent is in the upper grade and two agents are in the lower grade. The agent in the upper grade only needs to cooperate with one of the other two agents to recover the secret state but both of the agents in the lower grade need help from all of the agents. Every agent who wants to recover the secret state needs to introduce two ancillary qubits and performs a positive operator-valued measurement (POVM) instead of the usual projective measurement. Moreover, due to the symmetry of the cluster state, we extend this protocol to multiparty agents.

Key words: cluster state, hierarchical quantum information splitting, positive operator-valued measurement (POVM)

中图分类号:  (Quantum systems with finite Hilbert space)

  • 03.65.Aa
03.67.Dd (Quantum cryptography and communication security) 03.67.Hk (Quantum communication) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)