Nondistillability of distillable qutrit–qutrit states under depolarising noise

We study the effects of decoherence on some particular bipartite qutrit states under the influence of global, collective, local and multilocal depolarising 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.