# Bipartite Entanglement of Deformed Coherent States

## TL;DR

This paper explores how algebra deformation affects the entanglement of nonlinear coherent states, revealing that deformation can influence entanglement robustness and drawing parallels with environment decoherence effects.

## Contribution

It introduces a $q$-deformed algebra framework to analyze entanglement in nonlinear coherent states, highlighting the impact of deformation on entanglement properties.

## Key findings

- Deformation can enhance or diminish entanglement robustness.
- A connection between algebra deformation and environment decoherence is established.
- Deformed coherent states can be maximally entangled under certain conditions.

## Abstract

A $q$-deformed Weyl-Heisenberg algebra is used to define a deformed displacement operator giving rise to a naturally normalized nonlinear coherent states type. Robust maximally entangled deformed coherent states are studied and the effect of such a deformation on the amount of the entanglement is discussed. The analogy between environment decoherence and algebra deformation is made through the deformation parameter.