We present a quantum algorithm for the calculation of scattering amplitudes of massive charged scalar particles in scalar quantum electrodynamics. Our algorithm is based on continuous-variable quantum computing architecture resulting in expo- nential speedup over classical methods. We derive a simple form of the Hamiltonian including interactions, and a straightforward implementation of the constraint due to gauge invariance.
@article{arxiv.1709.02355,
title = {Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics},
author = {Kübra Yeter-Aydeniz and George Siopsis},
journal= {arXiv preprint arXiv:1709.02355},
year = {2018}
}