Welcome to Todo Group

Computational Exploration of Quantum Many-Body Phenomena

To understand the state of matter, the many-body Schrödinger equation must be solved to obtain the partition function in statistical mechanics. However, even with the computational power of modern supercomputers, solving this equation completely is difficult. Therefore, a crucial issue in computational physics is reconstructing the original equation in a form that is easy to simulate while preserving the physically important properties, such as symmetry and quantum correlations, inherent in the original equation.

At Todo Laboratory, we have been studying various quantum many-body systems ranging from quantum spin systems to real matter and even quantum computers by making full use of sampling methods such as Monte Carlo methods, representation of quantum fluctuations based on path integrals, singular value decomposition, information compression using tensor networks, statistical machine learning methods, etc. We have also been developing new techniques to simulate quantum many-body systems. We aim to elucidate the unique states, phase transitions, and dynamics of various quantum many-body systems, from quantum spin systems to real materials, and even quantum computers.

We are also developing and releasing open-source software for next-generation large-scale simulations. We are also involved in the “Quantum Software” endowed course and the “Sustainable Quantum AI” program of the JST's Co-creation Field Formation Support Program. In addition, through the “Quantum Software” endowed chair and the JST Center for Sustainable Quantum AI Research and Development, he is actively engaged in researching and developing quantum algorithms and quantum machine learning methods based on sampling and tensor networks.

Seminars

Research Highlights