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

• Received 28 August 2013

DOI:https://doi.org/10.1103/PhysRevA.88.064301