Quantum simulation of gauge theory via orbifold lattice

TL;DR

This paper introduces a quantum simulation framework for U(k) Yang-Mills theories using orbifold lattice methods, offering advantages over traditional approaches and potential applications in quantum gravity via holography.

Contribution

It presents a novel quantum simulation approach for gauge theories based on orbifold lattice formulation, extending to supersymmetric theories and quantum gravity applications.

Findings

Framework enables simulation of static and dynamic properties of Yang-Mills theories.

Uses advanced quantum information techniques like qubitization and shadow tomography.

Facilitates potential quantum gravity simulations through holographic duality.

Abstract

We propose a new framework for simulating $\text{U}(k)$ 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.