Separability of entangled qutrits in noisy channels

TL;DR

This paper analyzes how spontaneous emission noise affects the entanglement and separability of two-qutrit Werner states using generalized Bloch vectors and quantum quasi-distributions.

Contribution

It introduces a framework for describing qutrit entanglement in noisy channels and compares the effects of spontaneous emission on qutrit and qubit states.

Findings

Spontaneous emission influences the separability of Werner states.

Quantum quasi-distributions simplify entanglement description.

Kraus operators for spontaneous emission are derived.

Abstract

We present an analysis of noisy atomic channels involving qutrits. We choose a three-level atom with V-configuration to be the qutrit state. Gell-Mann matrices and a generalized Bloch vector (8-dimensional) are used to describe the qutrit density operator. We introduce quantum quasi-distributions for qutrits that provide a simple description of entanglement. Studying the time-evolution for the atomic variables we find the Kraus representation of spontaneous emission quantum channel (SE channel). Furthermore, we consider a generalized Werner state of two qutrits and investigate the separability condition in the presence of spontaneous emission noise. The influence of spontaneous emission on the separability of Werner states for qutrit and qubit states is compared.