On the capacity of information networks
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
On the capacity of multiple unicast sessions in undirected graphs
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
Quantum network communication: the butterfly and beyond
IEEE Transactions on Information Theory
An information theoretical model for quantum secret sharing
Quantum Information & Computation
Distributed source coding for satellite communications
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Foundations and Trends® in Networking
A father protocol for quantum broadcast channels
IEEE Transactions on Information Theory
Quantum network communication: the butterfly and beyond
IEEE Transactions on Information Theory
Nonlocal quantum information in bipartite quantum error correction
Quantum Information Processing
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We study the problem of k-pair communication (or multiple unicast problem) of quantum information in networks of quantum channels. We consider the asymptotic rates of high fidelity quantum communication between specific sender-receiver pairs. Four scenarios of classical communication assistance (none, forward, backward, and two-way) are considered. (I) We obtain outer and inner bounds of the achievable rate regions in the most general directed networks. (II) For two particular networks (including the butterfly network), routing is proved optimal, and the free assisting classical communication can at best be used to modify the directions of quantum channels in the network. Consequently, the achievable rate regions are given by counting edge avoiding paths, and precise achievable rate regions in all four assisting scenarios can be obtained. (III) Optimality of routing can also be proved in classes of networks. The first class consists of directed unassisted networks in which (1) the receivers are information sinks, (2) the maximum distance from senders to receivers is small, and (3) a certain type of 4-cycles are absent, but without further constraints (such as on the number of communicating and intermediate parties). The second class consists of arbitrary backward-assisted networks with two sender-receiver pairs. (IV) Beyond the k-pair communication problem, observations are made on quantum multicasting and a static version of network communication related to the entanglement of assistance.