# Generation of maximally correlated states in the absence of entanglement

## TL;DR

This paper explores how two qubits can achieve maximal correlation without entanglement through collective dissipative dynamics, revealing conditions and examples where this occurs.

## Contribution

It demonstrates the possibility of generating maximally correlated states without entanglement via collective dissipation and characterizes conditions for such states.

## Key findings

- Maximally correlated states can be generated without entanglement.
- Stationary states are achievable through collective dissipative dynamics.
- Existence of such states in 3x3 bipartite systems.

## Abstract

We study the generation of maximally correlated states of two qubits in the absence of quantum entanglement. We show that stationary maximally correlated states can be generated under the assistance of a collective dissipative dynamics. The absence of entanglement necessarily requires maximal entanglement to an environment. The conditions under which two qubits can be maximally correlated to a finite environment are studied. We find the existence of maximally correlated states without entanglement for $3 \otimes 3$ bipartite quantum states