论文标题
部分可观测时空混沌系统的无模型预测
Unified Approach to Secret Sharing and Symmetric Private Information Retrieval with Colluding Servers in Quantum Systems
论文作者
论文摘要
本文通过使用多目标单调跨度程序（MMSP）来阐述两种关键量子安全任务，即秘密共享（SS）和对称私人信息检索（SPE）的量子版本，这些版本表征了SS和SPIR的经典线性协议。 SS有两个量子扩展；一种是经典的Quantum（CQ）设置，其中要发送的秘密是经典信息，而股票是量子系统。另一个是量子量子（QQ）设置，其中要发送的秘密是量子状态，而股票是量子系统。这些量子方案与MMSP之间的关系尚未得到充分研究。我们新介绍第三个设置，即纠缠辅助（EA）设置，该设置是通过修改CQ设置来定义的，并允许经销商与最终用户之间的事先纠缠，而最终用户通过收集股票来恢复秘密。表明具有EA设置的SS的线性版本直接链接到MMSP，我们通过MMSP表征了使用CQ AD QQ设置的SS的线性量子版本。此外，我们介绍了SPE的EA设置，该设置显示为链接到MMSP。此外，我们讨论了最大距离可分离代码的量子版本。
This paper unifiedly addresses two kinds of key quantum secure tasks, i.e., quantum versions of secret sharing (SS) and symmetric private information retrieval (SPIR) by using multi-target monotone span program (MMSP), which characterizes the classical linear protocols of SS and SPIR. SS has two quantum extensions; One is the classical-quantum (CQ) setting, in which the secret to be sent is classical information and the shares are quantum systems. The other is the quantum-quantum (QQ) setting, in which the secret to be sent is a quantum state and the shares are quantum systems. The relation between these quantum protocols and MMSP has not been studied sufficiently. We newly introduce the third setting, i.e., the entanglement-assisted (EA) setting, which is defined by modifying the CQ setting with allowing prior entanglement between the dealer and the end-user who recovers the secret by collecting the shares. Showing that the linear version of SS with the EA setting is directly linked to MMSP, we characterize linear quantum versions of SS with the CQ ad QQ settings via MMSP. Further, we introduce the EA setting of SPIR, which is shown to link to MMSP. In addition, we discuss the quantum version of maximum distance separable codes.
