We study the properties of the fidelity of one-qubit operations in amplitude damping channels and reveal their properties as a function of coupling to the photonic crystal environment. We show that there is a direct connection between the information fidelity and the detuning of the atomic frequency from the photonic band gap (PBG). When the atomic transition frequency is far inside the band gap, the time evolution of the fidelity maintains asymptotically a steady-state value and can be controlled by the controllable PBG environment. We finally study the entanglement fidelity of the two-qubit system in this quantum channel. The theoretical results could be applied to the implementation of linear-optical and solid-state quantum information processing in nanostructured materials.
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