Quantum Computing for the Wess-Zumino Model

TL;DR

This paper explores the application of quantum computing to study the 1+1 dimensional Wess-Zumino model, focusing on supersymmetry breaking and real-time evolution, as a step towards non-perturbative quantum field theory simulations.

Contribution

It presents initial quantum computing results for the supersymmetric Wess-Zumino model, extending previous work on lower-dimensional systems and exploring new simulation techniques.

Findings

Preliminary quantum simulations of supersymmetry breaking.

Assessment of variational quantum eigensolver for this model.

Discussion on prospects for real-time evolution studies.

Abstract

Future quantum computers will enable novel sign-problem-free studies of dynamical phenomena in non-perturbative quantum field theories, including real-time evolution and spontaneous supersymmetry breaking. We are investigating applications of quantum computing to low-dimensional supersymmetric lattice systems that can serve as testbeds for existing and near-future quantum devices. Here we present initial results for the $\mathcal{N} = 1$ Wess--Zumino model in 1+1 dimensions, building on our prior analyses of 0+1-dimensional supersymmetric quantum mechanics. In addition to exploring supersymmetry breaking using the variational quantum eigensolver, we consider the prospects for real-time evolution.