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We investigate the form required for the time-dependent Rabi frequenciesinvolved in a procedure capable to protect the action of quantum gates on anatomic qutrit by means of external fields continuously decoupling the systemfrom the environmental noise. Several simulations are considered to protect theaction of quantum-gate models, including randomly chosen ones. We argue thatthe requirements for the Rabi frequencies could be nowadays experimentally met.We also investigate the transition from one gate operation to another,including protecting a qutrit memory state. We finally apply our methodology toprotect from noise the application of an algorithm capable of distinguishingthe parity of permutations of three elements.

Time-dependent Rabi frequencies to protect quantum operations on an atomic qutrit by continuous dynamical decoupling