Engineering shortcut-based operations on a nitrogen-vacancy spin qubit and microwave photons via optimized drivings

Optimal control of quantum systems is of significance to information processing and state engineering. Here an efficient scheme is proposed for engineering shortcut-based operations on a nitrogen-vacancy spin qubit and microwave photons via simplified drivings. The spin qubit dispersively coupled to a cavity field constitutes a composite system. Within a three-state subspace, we treat an effective interaction between the composite system and two classical drivings. By the technique of invariant-based shortcuts to adiabaticity, a state swap via Rabi pulses with sine- and cosine-typed waveforms and the generation of entangled states using constant Rabi pulses can be constructed, respectively. Moreover, with the accessible rates of qubit decoherence and photon decay, robust operations could be achieved by numerically simulating noise effects. The strategy could offer simple yet versatile avenues to implement the shortcut-based operations on the composite spin–photon system experimentally.