  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.
