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Hybrid entangled states prove to be necessary for quantum informationprocessing within heterogeneous quantum networks. A method with irreduciblenumber of consumed resources that firmly provides hybrid CV-DV entanglement forany input conditions of the experimental setup is proposed. Namely, a family ofCV states is introduced. Each of such CV states is first superimposed on abeam-splitter with a delocalized photon and then detected by a photo-detectorbehind the beam-splitter. Detection of any photon number heralds generation ofa hybrid CV-DV entangled state in the outputs, independent oftransmission/reflection coefficients of the beam-splitter and size of the inputCV state. Nonclassical properties of the generated state are studied and theirentanglement degree in terms of negativity is calculated. There are widedomains of values of input parameters of the experimental setup that can bechosen to make the generated state maximally entangled. The proposed method isalso applicable to truncated versions of the input CV states. We also propose asimple method to produce even/odd CV states.

Heralded hybrid CV-DV entanglement generation by quantum interference between CV state and DV delocalized photon