Local-dephasing-induced entanglement sudden death in two-component finite-dimensional systems

TL;DR

This paper demonstrates that entanglement sudden death occurs in bipartite qu-d-it systems of any finite dimension when subjected to multi-local dephasing noise, extending previous qubit-specific results to higher dimensions.

Contribution

It generalizes the phenomenon of entanglement sudden death from qubit pairs to all finite-dimensional bipartite systems under dephasing noise.

Findings

Entanglement vanishes abruptly in higher-dimensional systems.

The phenomenon occurs in isotropic states under multi-local dephasing.

Results extend previous qubit-specific entanglement death findings.

Abstract

Entanglement sudden death (ESD), the complete loss of entanglement in finite time, is demonstrated to occur in a class of bipartite states of qu-d-it pairs of any finite dimension d > 2, when prepared in so-called `isotropic states' and subject to multi-local dephasing noise alone. This extends previous results for qubit pairs [T. Yu, J. H. Eberly, Phys. Rev. Lett. 97, 140403 (2006)] to all qu-d-it pairs with d > 2.