Analytical Quantum Complexity RIKEN Hakubi Research Team

RIKEN Hakubi Team Leader: Tomotaka Kuwahara (Ph.D.)

Research Summary

The field of revealing the computational complexity of quantum many-body system simulations when using a classical computer (or quantum computer) is called Hamiltonian Complexity. In particular, from the viewpoint of quantum supremacy of quantum computers and quantum algorithms employing NISQ (i.e., a small quantum computer without error correction), Hamiltonian complexity has become one of the most important research topics in the field of quantum information. Our research aims to solve open mathematical problems in Hamiltonian complexity.

News

On June 13, A press release regarding the research paper “Topological Quantum Batteries” by Special Postdoctoral Researcher Dr. Cheng Shang was issued by RIKEN.
“Advent of the topological quantum battery”

On June 7, the paper “Substantial efficiency of Trotterization for low-energy states” by Kuwahara and Kaoru Mizuta from the University of Tokyo was accepted as a talk at the international conference Quantum Simulation 2025 (QSim2025). The acceptance rate for talks at this conference is around 20%.

On June 6, Kuwahara gave a special invited lecture on “Recent Progress on the Area Law Conjecture” at the 2024 Annual Meeting of the Hakubi Project, held at Kyoto University.

On June 2, a paper by Cheng Shang, “Manipulating spectral transitions and photonic transmission in a non-Hermitian optical system through nanoparticle perturbations,” was published in Physical Review A.