Single N-dimensional quNit quantum secret sharing
单个N维量子系统的量子秘密共享

A single N-dimensional quNit quantum secret sharing scheme is proposed. In this scheme, extending two bases and four states used in Bennett and Brassard protocol(BB84) to multi-bases and multi-states,a distributor sends the encoded N-dimensional quantum system to one of his two recipients. After receiving the quNit, the recipient makes a unitary operation on it using a N-dimensional cloning machine, and then sends it to the other recipient. After being informed that the second recipient has received the quNit, the distributor announces his preparing base, and then the two recipients perform measurements on their systems using the same base as the distributor and obtain the sent quantum state after collaboration. The security of the scheme is based on quantum non-cloning principle. In addition, this scheme has the features of great information flux and high efficiency. At last, the generalization from two recipients to N recipients is discussed.