Exploring the phase structure of the multi-flavor Schwinger model with quantum computing

TL;DR

This paper introduces a variational quantum eigensolver tailored for studying the phase structure of the multi-flavor Schwinger model, leveraging symmetry-aware ansatz circuits suitable for current quantum hardware.

Contribution

The authors design a symmetry-preserving variational ansatz circuit for the multi-flavor Schwinger model, enabling efficient exploration of its phase diagram on near-term quantum devices.

Findings

The ansatz accurately captures the phase structure of the model.

The approach is compatible with existing quantum hardware.

It reduces the number of variational parameters needed.

Abstract

We propose a variational quantum eigensolver suitable for exploring the phase structure of the multi-flavor Schwinger model in the presence of a chemical potential. The parametric ansatz circuit we design is capable of incorporating the symmetries of the model, present in certain parameter regimes, which allows for reducing the number of variational parameters substantially. Moreover, the ansatz circuit can be implementated on both measurement-based and circuit-based quantum hardware. We numerically demonstrate that our ansatz circuit is able to capture the phase structure of the model and allows for faithfully approximating the ground state. Our results show that our approach is suitable for current intermediate-scale quantum hardware and can be readily implemented on existing quantum devices.