关键词: 量子通信, 分层量子态分享, 4-粒子团簇态, 多参数测量

Abstract: Fusing the ideas of the hierarchical quantum state sharing and the multi-parameter measurements, a new framework is proposed to study the possibilities of Hierarchical Quantum State Sharing（HQSS） in different maximally entangled quantum channels. Explicit example of HQSS shows that the proposed framework is possible using 4-qubit cluster state as quantum channel, and this example is the extension of the existing protocol. Considering the challenge of the preservation of the maximally entangled state to the existing techniques, the proposed framework is extended to the case of non-maximally entangled channels. Taking the 4-qubit non-maximally entangled cluster state as an example, it is proved that the extended framework is feasible to study HQSS in different non-maximally entangled channels. Furthermore, the dependences between the success probability （classical consumption） of these examples and the measurement parameters or quantum entanglement parameters are analyzed. It is shown that the parameters of the measurement bases can be adjusted according to the parameters of quantum channel, so as to adjust the probability of success or classical consumption and satisfy the different needs in the real world.

Key words: quantum communication, hierarchical quantum state sharing, 4-qubit cluster state, multi-parameter measurement