论文标题
量子Pinsker不平等的应用到量子通信
Application of quantum Pinsker inequality to quantum communications
论文作者
论文摘要
早在1960年代,基于维纳(Wiener)的思想,西科·伊凯哈拉(Shikao Ikehara)(N.Wiener的第一学生)鼓励了Hisaharu Umegaki从纯粹的数学方面的研究进步,以便进一步开发有关Tokyo技术研究所量子信息数学方法的研究。然后,在1970年代,根据Umegaki Group的结果,Ikehara指示作者开发和传播量子信息科学作为全球信息科学。虽然Umegaki集团的结果已被评估为纯数学的主要成就,但它们对当前量子信息科学的贡献尚未得到充分讨论。本文介绍了我在ikehara的纪念研讨会上对我的演讲进行的调查,其中已经引入了Ikehara和Umegaki Group对量子交流理论的贡献,其中包括量子相对熵和量子Pinsker不平等等特定示例。
Back in the 1960s, based on Wiener's thought, Shikao Ikehara (first student of N.Wiener) encouraged the progress of Hisaharu Umegaki's research from a pure mathematical aspect in order to further develop the research on mathematical methods of quantum information at Tokyo Institute of Technology. Then, in the 1970s, based on the results accomplished by Umegaki Group, Ikehara instructed the author to develop and spread quantum information science as the global information science. While Umegaki Group's results have been evaluated as major achievements in pure mathematics, their contributions to current quantum information science have not been fully discussed. This paper gvies a survey of my talk in the memorial seminar on Ikehara, in which Ikehara and Umegaki Group's contributions to design theory of quantum communication have been introduced with specific examples such as quantum relative entropy and quantum Pinsker inequality.