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中国物理学会期刊

单个N维量子系统的量子秘密共享

CSTR: 32037.14.aps.55.3255

Single N-dimensional quNit quantum secret sharing

CSTR: 32037.14.aps.55.3255
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  • 提出了一种单个N维量子系统的量子秘密共享方案.在该方案中,利用对Bennett和Brassard协议(BB84协议)中使用的两基四态扩展到多基多态,分发者对要共享的秘密采用多基多态编码,将被编码的单个N维量子系统发送给他的两个代理人之一,该代理人利用一个N维克隆机对接收到的粒子做幺正操作,然后把粒子发送给另一代理人.在得知最后一个代理人接收到该粒子之后,分发者告知两个代理人他所用的制备基,然后两个代理人分别对自己的系统进行测量并在合作之后获知分发者所发送的粒子的量子态.该方案的安全性基于量子不可克隆定理.

     

    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.

     

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