Chiral fermion on quantum computers

TL;DR

This paper explores implementing chiral fermions on quantum computers, addressing symmetry breaking issues and proposing a one-dimensional loophole to reduce computational costs.

Contribution

It demonstrates how chiral fermions can model chiral physics in quantum computing and identifies a one-dimensional loophole to mitigate computational challenges.

Findings

Chiral fermions can represent chiral physics on quantum computers.

A one-dimensional loophole reduces computational costs.

Addressed symmetry breaking artifacts in quantum simulations.

Abstract

Quantum computation often suffers from artificial symmetry breaking. We should strive to suppress the artifact both by theoretical and technological improvements. The theoretical formalism of the lattice fermion with exact chiral symmetry is called the chiral fermion. In this presentation, we show how the chiral fermion describes chiral physics in quantum computing. We also show that, although a drawback of the chiral fermion is large computational cost, there is a loophole in one dimension.