New computational methods in lattice gauge theory -- quantum computation and tensor networks

Abstract

Lattice QCD calculations have been conducted using large-scale classical computers based on the Lagrangian formalism of field theory for the past 40 years. On the other hand, the advent of quantum computers has brought increasing attention to first-principles computational methods based on the Hamiltonian formalism compatible with these machines. In this talk, we discuss recent results on how to calculate hadronic properties using the Hamiltonian formalism.

10 pages, 6 figures, Proceedings of the 21st International Conference on Hadron Spectroscopy and Structure (HADRON2025), (v2) typo corrected, published version