We study the implementation of quantum state transfer protocols in phononnetworks, where in analogy to optical networks, quantum information istransmitted through propagating phonons in extended mechanical resonator arraysor phonon waveguides. We describe how the problem of a non-vanishing thermaloccupation of the phononic quantum channel can be overcome by implementingoptomechanical multi- and continuous mode cooling schemes to create a 'cold'frequency window for transmitting quantum states. In addition, we discuss theimplementation of phonon circulators and switchable phonon routers, which relyon strong coherent optomechanical interactions only, and do not require strongmagnetic fields or specific materials. Both techniques can be applied andadapted to various physical implementations, where phonons coupled to spin orcharge based qubits are used for on-chip networking applications.
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