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

摘要

We consider the composability of quantum channels from a limited amount of entanglement via local operations 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 entanglementassisted construction we can reach an alternative definition of partial-entanglement-breaking channels.