Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics

TL;DR

This paper introduces a quantum algorithm using continuous-variable quantum computing to efficiently calculate scattering amplitudes in scalar quantum electrodynamics, achieving exponential speedup over classical methods.

Contribution

It presents a novel quantum algorithm tailored for scalar QED scattering amplitudes, incorporating gauge invariance constraints within a continuous-variable framework.

Findings

Exponential speedup over classical algorithms.

Simple Hamiltonian form including interactions.

Straightforward implementation of gauge invariance constraints.

Abstract

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.