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

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.

4 pages, 1 figure

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• Converting separable conditions to entanglement breaking conditions
• On the characterization of partially entanglement breaking and annihilating channels