Quantum control in qutris systems using hybrid Rabi-STIRAP pulses

We introduce and analyze theoretically a procedure that combines slow adiabatic stimulatedRaman adiabatic passage (STIRAP) manipulation with short nonadiabatic Rabi pulses to produceany desired three-level state in a qutrit system. In this protocol, the fast pulses create superpositionsbetween the ground state and the first excited state, while the slow pulses transfer an arbitrarypopulation to the second excited state via STIRAP. We demonstrate high-fidelity quantum controlof the level populations and phases and we characterize the errors incurred under the breakdownof adiabaticity. In a configuration where an ancillary state is available, we show how to realizea nondemolition monitoring of the relative phases. These methods are general and can beimplemented on any experimental platform where a quantum system with at least three accessibleenergy levels is available. We discuss here in detail experimental implementations in circuit quantumelectrodynamics (QED) based on the results obtained with a transmon by Kumar et al., where thecontrol of population using the hybrid Rabi-STIRAP sequence has been achieved.