半设备无关量子随机数扩展研究

Research on Semi-Device-Independent Quantum Random Number Generator

首先对半设备无关随机数扩展协议基本模型做简单介绍.对已有的几类协议进行比较.分析各种协议的优势及不足.其次.利用设备无关与半设备无关随机数扩展协议之间的联系.解除NPA优化算法中固定维度对半设备无关随机数扩展的限制.根据SDP模型.得到不同非线性维度目击值下输出序列的小熵.最后.在半设备无关随机数扩展协议的非线性维度目击值中引入探测效率参数.研究其对非线性维度目击值的影响情况.并通过NPA优化算法.确定含探测效率参数的维度目击值与小熵之间的数值关系.

First, a brief introduction of semi-device-independent quantum randomness expansion is given. Several schemes are compared, and we analyze the advantages and disadvantages of the schemes. Second, taking advantage of the relationship between device-independent and semi-device-independent quantum randomness expansion, the constrains of NPA optimizing algorithm on the dimension of semi-device-independent quantum randomness expansion is relieved. Under the SDP model, we get different min-entropy with several nonlinear dimensional witnesses. Last, we introduce the detection efficiency parameter into the scheme of semi-device-independent quantum randomness expansion, and analyze its affection. Utilizing the NPA optimizing algorithm, we find the relationship between the dimensional witness and the min-entropy.