Abstract: A general approach to investigate the hierarchical remote state preparation (HRSP) is presented, and the possibility of realizing HRSP is systematically proven using 4-qubit [Ω] state and 4-qubit cluster state as quantum channels, respectively. Subsequently, the proposed HRSP scheme is generalized to a new aspect to study the hierarchical joint remote state preparation (HJRSP), and the HJRSP is possible using 5-qubit cluster state as the quantum channel. Further, the HJRSP scheme is modified into a probabilistic HJRSP scheme, and latter possibility is confirmed by using 5-qubit non-maximally entangled cluster state as the quantum channel.

Key words: remote state preparation, joint remote state preparation, hierarchical quantum communication

摘要： 提出了研究分层远程态制备（HRSP）的一般方法，系统地证明了分别以4粒子[Ω]态和4粒子团簇态作为量子信道的HRSP都是可能实现的。随后，将所提出的HRSP方案推广到研究分层联合远程态制备（HJRSP）的一般方法，并指出以5粒子团簇态为量子信道的HJRSP协议是可行的。此外，将HJRSP方案修改成概率HJRSP方案，并以5粒子非最大纠缠团簇态为量子信道证实其可能性。

关键词: 远程态制备, 联合远程态制备, 分层量子通信