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Spin networks are endowed with an Information Transfer Fidelity (ITF), whichdefines an absolute upper bound on the probability of transmission of anexcitation from one spin to another. The ITF is easily computable but the boundcan be reached asymptotically in time only under certain conditions. Generalconditions for attainability of the bound are established and the process ofachiev-ing the maximum transfer probability is given a dynamical model, thetranslation on the torus. The time to reach the maximum probability isestimated using the simultaneous Diophantine approximation, implemented using avariant of the Lenstra-Lenstra-Lovasz (LLL) algorithm. For a ring with uniformcouplings, the network can be made a metric space by defining a distance(satisfying the triangle inequality) that quantifies the lack of transmissionfidelity between two nodes. It is shown that transfer fidelities and transfertimes can be improved significantly by means of simple controls taking the formof non-dynamic, spatially localized bias fields, opening up the possibility forintelligent design of spin networks and dynamic routing of information encodedin them, while being more flexible than engineering fixed couplings to favorsome transfers, and less demanding than control schemes requiring fast dynamiccontrols.

Information Transfer Fidelity in Spin Networks and Ring-based Quantum Routers