Optimal quantum control robust against pulse inhomogeneities: Analytic solutions
Xavier Laforgue, Ghassen Dridi, S. Guérin
Abstract
We study optimal quantum control robust against pulse inhomogeneities for various partial population transfers and single-qubit gates by inverse optimization. We show that the pulse is constant for time or energy minimization and we provide the analytic form of the detuning as Jacobi elliptic cosines. The performance of composite pulse techniques, which we optimize for the case of complete population transfer, is compared to this optimal bound.
Topics & Concepts
Optimal controlPulse (music)QuantumPopulationMinificationConstant (computer programming)InverseMathematicsApplied mathematicsControl theory (sociology)PhysicsMathematical optimizationControl (management)Computer scienceQuantum mechanicsArtificial intelligenceGeometrySociologyDemographyProgramming languageVoltageQuantum Information and CryptographyLaser-Matter Interactions and ApplicationsSpectroscopy and Quantum Chemical Studies