Abstract
We study the problem of quantum multi-unicastcommunication over the butterfly network in a quantum-walk architecture,where multiple arbitrary single-qubit states are transmitted simultaneouslybetween multiple source-sink pairs. Here, by introducing quantum walks, wedemonstrate a quantum multi-unicast communication scheme over the butterflynetwork and the inverted crown network, respectively, where the arbitrarysingle-qubit states can be efficiently transferred with both the probabilityand the state fidelity one. The presented result concerns only the butterflynetwork and the inverted crown network, but our techniques can be applied toa more general graph. It paves a way to combine quantum computation andquantum network communication.
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