On constructions of quantum-secure device-independent randomness expansion protocols

量子安全的设备无关随机性扩展协议的构建

• 批准号: 2698699
• 金额: --
• 依托单位: University of York
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2698699
• 关键词: constructions; quantum; secure; device; independent

Device-independent randomness expansion protocols aim to expand a short uniformly random string into a much longer one whilst guaranteeing that their output is truly random. They are device-independent in the sense that this guarantee does not dependent on the specifics of an implementation. Rather, through the observation of nonlocal correlations we can conclude that the outputs generated are necessarily random. This thesis reports a general method for constructing these protocols and evaluating their security. Using this method, we then construct several explicit protocols and analyse their performance on noisy qubit systems. With a view towards near-future quantum technologies, we also investigate whether randomness expansion is possible using current nonlocality experiments. We find that, by combining the recent theoretical and experimental advances, it is indeed now possible to reliably and securely expand randomness.

独立于设备的随机性扩展协议旨在将短的均匀随机字符串扩展为长得多的字符串，同时保证其输出是真正随机的。它们是设备无关的，因为这种保证不依赖于实现的细节。相反，通过观察非局部相关性，我们可以得出结论，产生的输出必然是随机的。本文给出了构造这些协议并评估其安全性的一般方法。利用这种方法，我们构造了几个显式协议，并分析了它们在噪声量子比特系统上的性能。着眼于不久的将来的量子技术，我们还研究了随机性扩展是否可能使用当前的非局域性实验。我们发现，通过结合最近的理论和实验进展，现在确实有可能可靠和安全地扩展随机性。