# Accelerating lattice quantum field theory calculations via interpolator optimization using NISQ-era quantum computing

## TL;DR

This paper introduces a hybrid quantum-classical method that uses NISQ-era quantum computations to optimize interpolators, significantly accelerating lattice quantum field theory calculations, demonstrated on the Schwinger model.

## Contribution

It presents a novel approach combining small-scale quantum computations with classical calculations to improve efficiency in non-perturbative quantum field theory simulations.

## Key findings

- Quantum-assisted interpolator optimization accelerates calculations.
- Method successfully applied to the 1+1-dimensional Schwinger model.
- Potential to extend to more complex quantum field theories.

## Abstract

The only known way to study quantum field theories in non-perturbative regimes is using numerical calculations regulated on discrete space-time lattices. Such computations, however, are often faced with exponential signal-to-noise challenges that render key physics studies untenable even with next generation classical computing. Here, a method is presented by which the output of small-scale quantum computations on Noisy Intermediate-Scale Quantum era hardware can be used to accelerate larger-scale classical field theory calculations through the construction of optimized interpolating operators. The method is implemented and studied in the context of the 1+1-dimensional Schwinger model, a simple field theory which shares key features with the standard model of nuclear and particle physics.