Universal DV-CV interaction mechanism for deterministic generation of entangled hybridity

Abstract

We propose a general approach for deterministic generation of the entangled hybrid states consisting of continuous variable (CV) and discrete variable (DV) states. Peculiarity of the interaction of DV and CV states on the beam splitter (BS) is key for the birth of the entangled hybridity provided that some measurement event is registered in auxiliary mode. We show that the CV states forming the output entangled state consist exclusively of either even or odd Fock states. Various input CV states, including the Schrödinger cat state, are tested at the input of the BS, where they mix with delocalized single photons. We show the hybrid entanglement generation is observed at arbitrary values of the experimental parameters used. The degree of the hybrid entanglement is evaluated. Conditions for generating the maximally entangled hybrid states are established.