Title :
Sampled-data design for robust decoherence control of a single qubit
Author :
Daoyi Dong ; Petersen, Ian R. ; Rabitz, Hersch
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia
Abstract :
This paper presents a sampled-data approach for the robust decoherence control of a single qubit. The required robustness is defined using a sliding mode domain and the control law is designed offline and then utilized online with a single qubit having bounded uncertainties. Two classes of uncertainties are considered involving the system Hamiltonian and the coupling strength of the system-environment interaction. Three cases are analyzed in detail including amplitude damping decoherence, phase damping decoherence and depolarizing decoherence. Sampling periods are specifically designed for these cases to guarantee the required robustness. A sufficient condition is presented for guiding the design of unitary control for the case with amplitude damping decoherence. The proposed approach has potential applications in quantum error-correction and in constructing robust quantum gates.
Keywords :
damping; quantum gates; robust control; sampled data systems; variable structure systems; Hamiltonian system; amplitude damping decoherence; bounded uncertainties; control law; coupling strength; depolarizing decoherence; phase damping decoherence; quantum error-correction; robust decoherence control; robust quantum gates; sampled-data design; sampling periods; single qubit; sliding mode domain; system-environment interaction; unitary control design; Couplings; Damping; Equations; Quantum mechanics; Robust control; Robustness; Uncertainty;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426798