Dynamical gauge fields with bosonic codes

TL;DR

This paper demonstrates how bosonic codes can be used to simulate dynamical gauge fields in quantum systems, enabling the study of complex high-energy physics models with controllable devices.

Contribution

It introduces a method to encode matter and gauge fields in resonators using bosonic codes, specifically Schrödinger cat states, to simulate lattice gauge theories.

Findings

Mapping to a $ Z_2$ gauge theory established

Optimal conditions for gauge symmetry preservation identified

Promotes realization of high-energy models with bosonic codes

Abstract

The quantum simulation of dynamical gauge field theories offers the opportunity to study complex high-energy physics with controllable low-energy devices. For quantum computation, bosonic codes promise robust error correction that exploits multi-particle redundancy in bosons. Here, we demonstrate how bosonic codes can be used to simulate dynamical gauge fields. We encode both matter and dynamical gauge fields in a network of resonators that are coupled via three-wave-mixing. The mapping to a $\mathbb{Z}_2$ dynamical lattice gauge theory is established when the gauge resonators operate as Schr\"odinger cat states. We explore the optimal conditions under which the system preserves the required gauge symmetries. Our findings promote realising high-energy models using bosonic codes.