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

TL;DR

This paper explores recent advances in calculating hadronic properties using quantum computers and tensor networks within the Hamiltonian formalism, offering new computational approaches for lattice gauge theory.

Contribution

It introduces novel quantum and tensor network methods for lattice gauge theory, focusing on Hamiltonian formalism applications to hadronic calculations.

Findings

Quantum algorithms for hadronic property calculations.

Tensor network methods improve computational efficiency.

Hamiltonian formalism aligns with quantum computing paradigms.

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.