Journal Article

Quantum simulation of gauge theory via orbifold lattice

Buser, Alexander J., Honda, Masazumi, Hanada, Masanori, Gharibyan, Hrant, Liu, Junyu

2021

Overview

A bstract We propose a new framework for simulating U( k ) Yang-Mills theory on a universal quantum computer. This construction uses the orbifold lattice formulation proposed by Kaplan, Katz, and Unsal, who originally applied it to supersymmetric gauge theories. Our proposed approach yields a novel perspective on quantum simulation of quantum field theories, carrying certain advantages over the usual Kogut-Susskind formulation. We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories, from glueball measurements to AdS/CFT, making use of a variety of quantum information techniques including qubitization, quantum signal processing, Jordan-Lee-Preskill bounds, and shadow tomography. The generalizations to certain supersymmetric Yang-Mills theories appear to be straightforward, providing a path towards the quantum simulation of quantum gravity via holographic duality.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: Classical and Quantum Gravitation / Elementary Particles / Gauge theory / High energy physics / Lattice Quantum Field Theory / Matrix Models / Physics / Physics and Astronomy / Quantum computers / Quantum computing / Quantum Field Theories / Quantum Field Theory / Quantum gravity / Quantum phenomena / Quantum Physics / Quantum theory / Regular Article - Theoretical Physics / Relativity Theory / Signal processing / Simulation / String Theory / Supersymmetry / Yang-Mills theory