Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics

Understand

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.