Quantum sensing of control errors in three-level systems by coherent control techniques

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