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

TL;DR

This paper introduces a universal mechanism for generating hybrid entangled states combining continuous and discrete variables using a beam splitter and measurement, applicable to various input states including Schrödinger cat states.

Contribution

It presents a general approach for creating hybrid entanglement with arbitrary parameters, expanding the possibilities for quantum state engineering.

Findings

Hybrid entanglement observed at all experimental parameters.

Conditions for maximal hybrid entanglement established.

CV states can be purely even or odd Fock states.

Abstract

We propose a general approach for the implementation of the hybrid entangled states consisting of continuous variable (CV) and discrete variable (DV) states. Peculiarities of DV-CV interaction mechanism on the beam splitter with arbitrary parameters is key for the for the birth of the entangled hybridity provided that some measurement event is registered in auxiliary mode. We show that the CV states forming entangled state can consist exclusively of either even or odd Fock states. Various input CV states including Schrodinger cat state (SCSs) are used at the input of the beam splitter where they mix with delocalized single photon. We show the hybrid entanglement generation is observed at any values of the experimental parameters used. Degree of the hybrid entanglement is evaluated. Conditions for generating the maximally entangled hybridity are established.