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

摘要

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