基于六量子态的高容量量子秘密共享方案

发布时间：2018-07-14 14:27

【摘要】：为了提高一方到多方量子秘密共享方案的量子比特容量,提出了一种基于六量子态的新方案.发送方首先根据共享秘密对初始的光子序列进行相应的酉操作,然后进行随机的酉操作并发送给接收方.接收方依次进行随机的酉操作,最后一位接收方将光子序列返回给发送方.发送方选用正确的测量基进行测量,并公布与测量结果有关的信息;接收方则根据该信息和各自的酉操作获得共享秘密.理论分析结果表明,当存在n位接收方时,所提方案的量子比特容量为1,而已有的类似方案为1/n,故前者具有容量高、所需量子资源少的优点.此外,所提方案中发送方负责测量,所有接收方只需执行酉操作,因此对接收方的设备要求低,特别适用于发送方设备条件远超过接收方的情况.
[Abstract]:In order to improve the quantum bit capacity of one-to-many quantum secret sharing schemes, a new scheme based on six quantum states is proposed. The sender first performs the corresponding unitary operation on the initial photon sequence according to the shared secret, and then performs the random unitary operation and sends it to the receiver. The receiver performs a random unitary operation, and the last receiver returns the photon sequence to the sender. The sender selects the correct measurement base to measure and publishes the information related to the measurement result; the receiver obtains the shared secret according to the information and the respective unitary operation. The theoretical analysis results show that the quantum bit capacity of the proposed scheme is 1 when n bit receiver is present, and the similar scheme is 1 / n, so the former has the advantages of high capacity and less quantum resources. In addition, in the proposed scheme, the sender is responsible for the measurement, and all the receivers only need to perform unitary operation, so the requirements for the equipment of the receiver are low, especially when the equipment condition of the sender is far greater than that of the receiver.
【作者单位】：南京航空航天大学计算机科学与技术学院;东南大学计算机科学与工程学院;
【基金】：国家自然科学基金资助项目(61103235,61170321) 中国博士后科学基金资助项目(2013M531353) 江苏省自然科学基金资助项目(BK20140823)
【分类号】：O413;TN918

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