  Quantum coherent control of a quantum system with high-fidelity is rather
important in quantum computation and quantum information processing. There are
many control techniques to reach these targets, such as resonant excitation,
adiabatic passages, shortcuts to adiabaticity, and so on. However, for a single
pulse to realize population transfer, the external tiny error has a trivial
influence on the final population. The repeated application of the same pulse
will greatly amplify the error effect, making it easy to be detected. Here, we
propose to measure small control errors in three-level quantum systems by
coherent amplification of their effects, using several coherent control
techniques. For the two types of Hamiltonian with SU(2) dynamic symmetry, we
analyze how the fidelity of population transfer are affected by Rabi
frequencies fluctuation and static detuning deviation, based on the pulse
sequence with alternating and same phases, respectively. It is found that the
sensitivity of detecting these errors can be effectively amplified by the
control pulse sequences. Furthermore, we discuss the efficiency of sensing the
two errors with these control techniques by comparing the full width at half
maximum of the population profiles. The results provide an accurate and
reliable way for sensing the weak error in three-level quantum systems by
applying repeatedly the coherent control pulse.
