Distillability sudden death in qutrit-qutrit systems under global decoherence

TL;DR

This paper corrects previous equations regarding distillability sudden death in two-qutrit systems and explores its occurrence under various decoherence types, showing that local unitaries cannot prevent this phenomenon.

Contribution

It provides corrected equations for the dynamics of entanglement and distillability, and analyzes their behavior under different decoherence models, expanding understanding of entanglement decay.

Findings

Distillability sudden death can occur under global and multi-local decoherence.

Local unitary transformations do not prevent distillability sudden death.

Corrected equations clarify previous misconceptions in the literature.

Abstract

Recently Song {\it et al}., Phys. Rev. A {\bf 80}, 012331 (2009), have discovered that certain two-qutrit entangled states interacting with multi-local decoherence undergo distillability sudden death whereas their locally equivalent states do not exhibit such behavior. We have found that their basic equation of motion missed some terms and therefore the subsequent calculations and conclusions are not correct/valid except that distillability sudden death may occur. We provide the missing terms and point out the corrections which must be done in the literature to remove confusion. Moreover, we have studied this feature for certain entangled states under global, collective and multi-local decoherence. We have found that entanglement sudden death and distillability sudden death may happen under global and multi-local noises. Moreover, local unitary transformations can not avoid distillability sudden death.