The Ikehara Collection: Norbert Wiener's Japan Connections [Commentary]

Love, Heather A.

doi:10.1109/mts.2017.2697062

Cited by 1 publication

(1 citation statement)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Research on a quantum version of relative entropy, which is regarded as a mathematical generalization of Shannon's entropy theory, was begun for the first time in the world by Hisaharu Umegaki at Tokyo Institute of Technology. This was driven by the motivation of Shikao Ikehara to recommend the succession of Wiener thought [14,15]. Umegaki, for the first time in the world, defined the following quantum relative entropy on the von Neumann algebra in 1962 and formulated its various features [16][17][18].…”

Section: A Approach Of Umegaki and Holevomentioning

confidence: 99%

Application of quantum Pinsker inequality to quantum communications

Hirota

2020

Preprint

View full text Add to dashboard Cite

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.

show abstract

Section: A Approach Of Umegaki and Holevomentioning

confidence: 99%

Application of quantum Pinsker inequality to quantum communications

Hirota

2020

Preprint

View full text Add to dashboard Cite

show abstract

The Ikehara Collection: Norbert Wiener's Japan Connections [Commentary]

Cited by 1 publication

References 1 publication

Application of quantum Pinsker inequality to quantum communications

Application of quantum Pinsker inequality to quantum communications

Contact Info

Product

Resources

About