Semi-device-independent randomness expansion with partially free random sources
Semi-device-independent randomness expansion with partially free random sources
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DOI：
10.1103/physreva.92.022331
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发表时间：
2015-03
影响因子：
2.9
通讯作者：
Yu-qian Zhou;Hongwei Li;Yukun Wang;Dandan Li;F. Gao;Q. Wen
中科院分区：
文献类型：
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作者：
Yu-qian Zhou;Hongwei Li;Yukun Wang;Dandan Li;F. Gao;Q. Wen
S. Pironio等人[Nature 464，1021-1024（2010）]和R. Colbeck等人[Nature Physics 8，450-453（2012）]证明了可以通过使用完全自由的随机源或部分自由的随机源作为种子来生成新的随机性。随后，Li等人[Phys.Rev.A84，034301（2011）]在半设备无关的框架中研究了该主题，并证明了可以从完全自由的随机源获得新的随机性。在这里，我们讨论部分自由随机源是否以及如何在半设备无关的场景中为我们带来新的随机性。提出了一种具有部分自由随机源的半设备无关随机性扩展协议，并得到了部分自由随机源产生新随机性所应满足的条件。在分析的过程中，我们得到了一个新的二维量子见证。进一步，我们得到了生成的随机性与二维量子见证破坏之间的解析关系。
By proposing device-independent protocols, S. Pironio et al. [Nature 464, 1021-1024 (2010)] and R. Colbeck et al. [Nature Physics 8, 450-453 (2012)] proved that new randomness can be generated by using perfectly free random sources or partially free ones as seed. Subsequently, Li et al. [Phys. Rev. A 84, 034301 (2011)] studied this topic in the framework of semi-device-independent and proved that new randomness can be obtained from perfectly free random sources. Here we discuss whether and how partially free random sources bring us new randomness in semi-device-independent scenario. We propose a semi-device-independent randomness expansion protocol with partially free random sources, and obtain the condition that the partially free random sources should satisfy to generate new randomness. In the process of analysis, we acquire a new 2-dimensional quantum witness. Furthermore, we get the analytic relationship between the generated randomness and the 2-dimensional quantum witness violation.