  Quantum computing may offer the opportunity to simulate strongly-interacting
field theories, such as quantum chromodynamics, with physical time evolution.
This would give access to Minkowski-signature correlators, in contrast to the
Euclidean calculations routinely performed at present. However, as with
present-day calculations, quantum computation strategies still require the
restriction to a finite system size, including a finite, usually periodic,
spatial volume. In this work, we investigate the consequences of this in the
extraction of hadronic and Compton-like scattering amplitudes. Using the
framework presented in Phys. Rev. D101 014509 (2020), we quantify the volume
effects for various $1+1$D Minkowski-signature quantities and show that these
can be a significant source of systematic uncertainty, even for volumes that
are very large by the standards of present-day Euclidean calculations. We then
present an improvement strategy, based in the fact that the finite volume has a
reduced symmetry. This implies that kinematic points, which yield the same
Lorentz invariants, may still be physically distinct in the finite-volume
system. As we demonstrate, both numerically and analytically, averaging over
such sets can significantly suppress the unwanted volume distortions and
improve the extraction of the physical scattering amplitudes.

High Energy Physics - Lattice;Quantum Physics