Asymmetric Quantum Multicast Network Coding: Asymmetric Optimal Cloning over Quantum Networks

Multicasting of quantum states is an essential feature internet. Since the noncloning theorem prohibits perfect cloning unknown state, appropriate protocol may depend on purpose multicast. In this paper, we treat multicasting a single copy state over network with free classical communication. We especially focus protocols exactly asymmetric optimal universal clone. Hence, these are and in terms mean fidelity between input output states, but fidelities can target nodes. Among protocols, spending smaller communication resources preferable. Here, construct such attaining min-cut described as follows. Two (three) clones created at source node. Then, divided into information compressed state. The sent to two nodes using coding. Finally, reconstructed LOCC small amount entanglement shared among from