Asymmetric quantum multicast network coding: asymmetric optimal cloning over quantum networks
Abstract
In this study, we consider a quantum version of multicast network coding as a multicast protocol for sending universal quantum clones (UQCs) from a source node to the target nodes on a quantum network. By extending Owari et al.'s previous results for symmetric UQCs, we derive a protocol for multicasting 1→ 2 (1→ 3) asymmetric UQCs of a qr-dimensional state to two (three) target nodes.Our protocol works under the condition that each edge on a quantum network represented by an undirected graph G transmits a q-dimensional state. There exists a classical solvable linear multicast network code with a source rate of r on a classical network G', where G is an undirected underlying graph of an acyclic directed graph G'. We also assume free classical communication over a quantum network.