Is composite noise necessary for sudden death of entanglement?

TL;DR

This paper investigates how different types of local noise can cause entanglement sudden death in quantum systems, highlighting that depolarizing noise uniquely induces this phenomenon even in pure states.

Contribution

It demonstrates that depolarizing noise can cause entanglement sudden death in pure states, unlike amplitude or phase noise, which only affect mixed states.

Findings

Depolarizing noise causes sudden death in pure entangled states.

Amplitude and phase noise do not cause sudden death in pure states.

Different noisy environments impact entanglement differently.

Abstract

The finite time disentanglement or entanglement sudden death, when only one part of the composite system is subjected to a single noise, is examined. While it is shown that entanglement sudden death can occur when a part of the entangled mixed state is subjected to either amplitude noise or phase noise, local action of either of them does not cause entanglement sudden death in pure entangled states. In contrast, depolarizing noise is shown to have an abilitiy to cause sudden death of entanglement even in pure entangled states, when only one part of the state is exposed to it. The result is illustrated through the action of different noisy environments individually on a single qubit of the so-called X class of states and an arbitrary two-qubit pure state.