Quantum communication is indispensable for realizing non-trivial size quantum processors and quantum Internet.

In most practical situations, interactions between the physical systems representing qubits is short-range. Hence a scalable quantum processor would require means to transfer quantum states between distant qubits or sub-registers. We study various physical and mathematical aspect of perfect state transfer via quantum channels represented by spin chains.

Long distance, reliable quantum communication between quantum devices would one day transform our notion for distant computation, secure communication and cryptography. We study physical realizations of quantum repeaters based on photon interactions and storage, and mathematical aspects of quantum key distribution.