The Hakubi Project

14th

:Global Type
:Tenure-track Type

Short Introduction

My research interest is in theoretical aspects of quantum computing, including the study of quantum algorithms and quantum computational complexity. In the study of quantum algorithms, I am trying to establish applications of quantum computing with substantial speedup over classical computing. In the study of quantum computational complexity, the aim is to figure out “how difficult” certain problems are. Through the theory of quantum computational complexity, we can understand the separations of computational power between classical and quantum computing. Moreover, we can also understand the theoretical limitations of quantum computing.

In this Hakubi project, I study a new interdisciplinary field of quantum computing, namely “quantum computational topology”. It has been recently known that there is a surprising connection between the complexity of quantum computing and the complexity of high-dimensional topology. Through the study of the connection between quantum computing and topology, I would like to establish new applications of quantum computing in the field of data analysis and machine learning based on the topological properties of the data. Moreover, I would also like to clarify the complexity of the mathematical problems related to high-dimensional homology and the complexity of quantum many-body systems through the lens of quantum computation.