Sudden death of distillability in qutrit-qutrit systems

TL;DR

This paper introduces the concept of distillability sudden death in qutrit-qutrit systems, showing how free entangled states can become non-distillable under local noise and proposing methods to prevent this.

Contribution

It defines distillability sudden death, analyzes its occurrence under local dephasing noise, and suggests strategies to maintain entanglement robustness.

Findings

Distillability sudden death occurs in finite time under local noise.

Proposed methods can prevent the loss of distillability.

Bound entangled states are unstable over infinite time.

Abstract

We introduce the concept of distillability sudden death, i.e., free entangled states can evolve into non-distillable (bound entangled or separable) states in finite time under local noise. We describe the phenomenon through a specific model of local dephasing noise and compare the behavior of states in terms of the Bures fidelity. Then we propose a few methods to avoid distillability sudden death of states under (general) local dephasing noise, so that free entangled states can be robust against decoherence. Moreover, we find that bound entangled states are unstable in the limit of infinite time.