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

摘要： 融合了分层量子态分享及多参数测量思想，提出了一个研究不同最大纠缠量子信道的分层量子态分享可能性的新框架，并以4-粒子团簇态作为量子信道为例说明了该框架是可行的，指出该例是现有协议的推广。考虑到最大纠缠态的保持对现有技术的挑战，将上述框架推广到非最大纠缠信道的情形，且以4-粒子非最大纠缠团簇态为例，验证了这个推广框架用于研究不同非最大纠缠信道的分层量子态分享是可行的。进一步，分析了验证实例的成功概率（经典耗费）与测量参数或量子纠缠参数间的依赖关系，说明了可以根据量子信道的参数来调整测量基的参数，达到调节成功概率或经典耗费，满足真实世界中不同需求之目的。

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