On partially entanglement breaking channels

TL;DR

This paper introduces the concept of Schmidt number for quantum channels, defining classes of channels that partially break entanglement, thus generalizing entanglement breaking channels using duality between quantum maps and states.

Contribution

The paper defines the Schmidt number for quantum channels and introduces classes of channels that partially break entanglement, extending the concept of entanglement breaking channels.

Findings

Schmidt number for quantum channels is introduced.

Classes of partially entanglement breaking channels are defined.

Generalization of entanglement breaking channels is achieved.

Abstract

Using well known duality between quantum maps and states of composite systems we introduce the notion of Schmidt number of a quantum channel. It enables one to define classes of quantum channels which partially break quantum entanglement. These classes generalize the well known class of entanglement breaking channels.