# Engineering optical hybrid entanglement between discrete- and continuous-variable states

## TL;DR

This paper proposes a scheme for generating hybrid entanglement between discrete and continuous-variable optical states using non-local heralding, enabling higher fidelity and dimensionality for quantum network applications.

## Contribution

It introduces a remote generation scheme for hybrid entanglement with enhancements via local and non-local heralding, expanding the capabilities of quantum light sources.

## Key findings

- Higher fidelity hybrid entangled states achieved with local heralding.
- Generation of hybrid entangled qutrits through two-photon non-local heralding.
- Potential for advanced optical hybrid quantum architectures.

## Abstract

The generation and manipulation of hybrid entanglement of light involving discrete- and continuous-variable states have recently appeared as essential resources towards the realization of heterogeneous quantum networks. Here we investigate a scheme for the remote generation of hybrid entanglement between particle-like and wave-like optical qubits based on a non-local heralding photon detection. We also extend this scheme with additional local or non-local detections. An additional local heralding allows the resulting state to exhibit a higher fidelity with the targeted entangled qubits while a two-photon non-local heralding detection gives access to a higher dimensionality in the discrete-variable subspace, resulting thereby in the generation of hybrid entangled qutrits. The implementation of the presented schemes, in combination with ongoing works on high-fidelity quantum state engineering, will provide novel non-classical light sources for the development of optical hybrid architectures.