Complete complementarity relations in tree level QED processes

Abstract

We exploit complete complementarity relations to fully characterize various aspects of quantumness in a Bhabha scattering process \((e^-e^+ \rightarrow e^-e^+)\) at tree level. For illustrative purposes, we consider three different situations: in the first one the initial electron A and positron B are described by a factorized state; in the second one, the incoming particles are described by local superpositions and the total state is factorized; finally, we consider the more general initial state in which A and B can be entangled. We find that the QED scattering process generates and distributes quantum information in a non-trivial way among the particles, with CCR being fulfilled both for initial and final states.