# A New Tripartite Coherent-Entangled State Generated by An Asymmetric Beam-Splitter and Its Applications

## TL;DR

This paper introduces a novel tripartite coherent-entangled state generated via an asymmetric beam-splitter, exploring its properties, mathematical completeness, and potential applications in quantum optics.

## Contribution

It proposes a new tripartite coherent-entangled state, analyzes its properties, and presents a practical generation protocol and applications in quantum optics.

## Key findings

- The tripartite CES exhibits both coherence and entanglement.
- It forms a complete and orthogonal basis for tripartite states.
- A feasible protocol for generating the state using an asymmetric beam-splitter is proposed.

## Abstract

A new kind of tripartite coherent-entangled state (CES) $\ket{\beta,\gamma, x}_{\mu\nu\tau}$ is proposed, which exhibits the properties of both coherence and entanglement. We investigate its completeness and orthogonality, and find it can make up a representation of tripartite CES. A protocol for generating the tripartite CES is proposed using asymmetric beam splitter. Applications of the tripartite CES in quantum optics are also presented.