The Quantum Channels of the Compton Scattering of an Entangled Pair of Photons

Abstract

Using the Compton scattering of an entangled pair of photons as an example, we demonstrate the process of deriving the Kraus operators corresponding to the interaction from the underlying fundamental theory, quantum electrodynamics. The normalization of the final density matrix of the entangled photons after the interaction is crucial to obtaining the correct correlations. The reduced density matrix of the photon, which does not participate in the interaction directly, remains unchanged. It indicates that quantum effects, using an entangled pair of photons for quantum sensing, can only be observed via the correlations or superposition of the complete entangled pair of photons.