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 January 14, the paper “Thermal Area Law in Long-Range Interacting Systems” by Donghoon Kim and Kuwahara was published in Physical Review Letters. This research is a joint work with Keiji Saito’s laboratory at Kyoto University.
From December 17 to 20, at the Henry Cheng International Conference Centre in Hong Kong, the Tensor Network States: Algorithms and Applications (TNSAA) workshop was held, where Donghoon Kim presented a poster on “Thermal Area Law in Long-Range Interacting Systems.”
From December 16 to 20, at the University of Tübingen, the international workshop “Correlations of Quantum Many-Body Systems” was held, where Kuwahara gave a talk on “Entanglement Hamiltonian on a Subsystem at Non-Zero Temperatures.”
From December 11 to 13, at KEK (High Energy Accelerator Research Organization), the KEK Theory Workshop was held, where Donghoon Kim gave a talk on “Thermal Area Law in Long-Range Interacting Systems.”
