Composability of partially entanglement breaking channels via entanglement assisted local operations and classical communication

TL;DR

This paper demonstrates that k-partially entanglement breaking channels can be constructed using entanglement-assisted LOCC, providing a new perspective on their composability and defining them via entanglement properties.

Contribution

It shows that any k-partially entanglement breaking channel can be composed from a k-Schmidt number entangled state using one-way LOCC, offering a new entanglement-based characterization.

Findings

Any k-partially entanglement breaking channel can be constructed via entanglement-assisted LOCC.

Provides an alternative entanglement-based definition of partially entanglement breaking channels.

Establishes a link between channel composability and entanglement properties.

Abstract

We consider composability of quantum channels from a limited amount of entanglement via local operations and classical communication (LOCC). We show that any $k$-partially entanglement breaking channel can be composed from an entangled state with Schmidt number of $k$ via one-way LOCC. From the entanglement assisted construction we can reach an alternative definition of partially entanglement breaking channels.