The Lattice Schwinger Model and Its Quantum Simulation

TL;DR

This paper reviews the lattice Schwinger model, its anomaly effects, and discusses recent quantum simulation schemes for interacting field theories, highlighting advances in simulating the Schwinger model on quantum computers.

Contribution

It connects lattice Schwinger model results with quantum simulation approaches, proposing schemes for simulating approximations of the model on quantum devices.

Findings

Reproduction of anomaly effects on the lattice

Discussion of quantum simulation schemes for Schwinger models

Connection between lattice results and quantum simulation developments

Abstract

In this chapter we review results on the lattice Schwinger model. In par-ticular, we show how the effect of the anomaly is reproduced on the lattice. We connect these results to recent developments in the field of quantum simulation of interacting field theories. Schemes for the quantum simulation of (approximations of) Schwinger models are discussed.