Long-lasting hybrid quantum information processing in a cavity-protection regime

Implementing complex sequences of gates is crucial for any quantum computing architecture to become practical. This requires long-lived qubits which can be manipulated many times without errors. Here we propose a scheme to process hybrid qubits consisting of spin ensembles coupled to superconducting resonators in a cavity-protection regime, which enhances their coherence time by orders of magnitude. We perform numerical experiments for the quantum simulation of the XY model and the quantum Fourier transform, by including all the main decoherence mechanisms and assuming system parameters that are guaranteed by present technology.