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The control of flying qubits is at the core of quantum networks. As oftencarried by single-photon fields, the flying-qubit control involves not onlytheir logical states but also their shapes. In this paper, we explore a varietyof flying-qubit control problems using a three-level atom with time-varyingtunable couplings to two input-output channels. It is shown that one can tunethe couplings of a $\Lambda$-type atom to distribute a single photon into thetwo channels with arbitrary shapes, or use a $V$-type atom to catch anarbitrary-shape distributed single photon. The $\Lambda$-type atom can also bedesigned to transfer a flying qubit from one channel to the other, with boththe central frequency and the photon shape being converted. With a $\Xi$-typeatom, one can use the tunable coupling to shape a pair of correlated photonsvia cascaded emission. In all cases, analytical formulas are derived for thecoupling functions to fulfil these control tasks, and their physicallimitations are discussed as well. These results provide useful controlprotocols for high-fidelity quantum information transmission over complexquantum networks.

Flying-Qubit Control via a Three-level Atom with Tunable Waveguide Couplings