WAKAYAMA GROUP | Crypto-Math CREST

WAKAYAMA GROUP

Project Title

Study on quantum interaction models and quantum error correction codes

Outline of Research

We study the spectral structure of non-commutative harmonic oscillators, quantum Rabi models and their important generalized models (asymmetric quantum Rabi model, Dicke model, Spin-Boson model, etc.) from various viewpoints such as representation theory, number theory, arithmetic geometry and dynamical systems. Also, we will investigate group-theoretic studies on quantum error correction codes employing viewpoints of geometry and topology. In addition, in order to contribute to the basic hash function configuration and security evaluation in cryptography, the Ramanujan graph, its generalized configuration and relating zeta functions of such graphs, which will be started in earnest after 2022.

Masato WakayamaProfessor

NTT Institute for Fundamental Mathematics

Web sitehttps://imi.kyushu-u.ac.jp/~wakayama/eindex.html

Kazufumi KimotoProfessor

Faculty of Science, University of the Ryukyus

Web sitehttps://researchmap.jp/kimoto_kazufumi/

Go KatoResearch Manager

Advanced ICT Research Institute, NICT

Web sitehttps://www.nict.go.jp/en/quantum/member.html

Yoshinori YamasakiProfessor

Graduate School of Science and Engineering, Ehime University

Web sitehttps://yoran.office.ehime-u.ac.jp/Profiles/3/0000300/profile.html?lang=en

Shingo SugiyamaAssociate Professor

Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University

Web sitehttps://sites.google.com/view/s-sugiyama

Reyes-Bustos CidResearch Associate

NTT Institute for Fundamental Mathematics

Web sitehttps://homepage.cidrb.repl.co/

Seiseki Akibue

NTT Communication Science Laboratories

Web sitehttps://researchmap.jp/seiseki.akibue

Shuji HorinagaResearch Associate

NTT Institute for Fundamental Mathematics

Web sitehttps://sites.google.com/view/shorinaga/english

Ryosuke NakahamaResearch Associate

NTT Institute for Fundamental Mathematics