Geometry of Entanglement Sudden Death: Explicit Examples

TL;DR

This paper explores the geometric aspects of entanglement sudden death in open quantum systems, providing explicit examples and expanding the classification of possible entanglement decay scenarios.

Contribution

It offers explicit examples for all classes of entanglement sudden death scenarios and discusses the generality and potential extensions of the geometric approach.

Findings

Provided explicit examples for previously unillustrated classes

Reviewed the geometric classification of entanglement decay

Discussed potential generalizations of the approach

Abstract

In open quantum systems, entanglement can vanish faster than coherence. This phenomenon is usually called sudden death of entanglement. In [M. O. Terra Cunha, New J. Phys. 9, 237 (2007)] a geometrical explanation was offered and a classification of all possible scenarios was given. Some classes were exemplified, but it was still an open question whether there were examples for the other ones. This was solved in [R.C. Drumond and M.O. Terra Cunha, arXiv:0809.4445v1]. Here we briefly review the problem, state our results in a precise way, discuss the generality of the approach, and add some speculative desirable generalizations.