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A scheme for fine tuning of quantum operations to improve their performanceis proposed. A quantum system in $\Lambda$ configuration with two-photon Ramantransitions is considered without adiabatic elimination of the excited(intermediate) state. Conditional dynamics of the system is studied with focuson improving fidelity of quantum operations. In particular, the $\pi$ pulse and$\pi/2$ pulse quantum operations are considered. The dressed states for theatom-field system, with an atom driven on one transition by a classical fieldand on the other by a quantum cavity field, are found. A discrete set ofdetunings is given for which high fidelity of desired states is achieved.Analytical solutions for the quantum state amplitudes are found in the firstorder perturbation theory with respect to the cavity damping rate $\kappa$ andthe spontaneous emission rate $\gamma$. Numerical solutions for higher valuesof $\kappa$ and $\gamma$ indicate a stabilizing role of spontaneous emission inthe $\pi$ and $\pi/2$ pulse quantum operations. The idea can also be appliedfor excitation pulses of different shapes.

Fine tuning of quantum operations performed via Raman transitions