Title: Topological networks for quantum communication between distant qubits,
Abstract: Efficient communication between qubits relies on robust networks which allow
for fast and coherent transfer of quantum information. It seems natural to
harvest the remarkable properties of systems characterized by topological
invariants to perform this task. Here we show that a linear network of coupled
bosonic degrees of freedom, characterized by topological bands, can be employed
for the efficient exchange of quantum information over large distances.
Important features of our setup are that it is robust against quenched
disorder, all relevant operations can be performed by global variations of
parameters, and the time required for communication between distant qubits
approaches linear scaling with their distance. We demonstrate that our concept
can be extended to an ensemble of qubits embedded in a two-dimensional network
to allow for communication between all of them.