Scalable designs for quantum information processing make use of flying qubits, i.e., photon or phonon wave packets that can communicate quantum states and gate operations between remote material (stationary) qubits in a larger network. While a precise description of how a travelling pulse of quantum radiation interacts with a local material quantum system is a crucial theory component in quantum optics and quantum information technologies, our textbooks do not provide a formal description of this elementary interaction process.
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