Nondistillability of distillable qutrit-qutrit states under depolarizing noise

TL;DR

This paper investigates how various types of depolarizing noise affect bipartite qutrit states, revealing that noise can convert distillable states into nondistillable ones and that local operations cannot prevent this transition.

Contribution

It demonstrates the nondistillability of certain entangled qutrit states under different noise models and shows the limitations of local operations in preventing this effect.

Findings

Global noise can turn distillable states into bound entangled or separable states.

Collective noise can increase entanglement in bipartite qutrit states.

Local operations cannot prevent nondistillability under noise.

Abstract

We study the effects of decoherence on some particular bipartite qutrit states under the influence of global, collective, local and multilocal depolarizing noise. We show that certain free entangled distillable qutrit density matrices become bound entangled or separable and hence convert into nondistillable density matrices in global noise. The collective noise increases the degree of entanglement of the qutrit bipartite states. Furthermore, we show that some particular local operation cannot avoid the Nondistillability of the distillable states.