Robust optimal control of two-level quantum systems

Time optimal simultaneous control of two level quantum systems

Optimal Control of Superconducting N-level quantum systems

Abstract. We consider a current-biased dc SQUID in the presence of an applied time-dependent bias current or magnetic flux. The phase dynamics of such a Josephson device is equivalent to that of a quantum particle trapped in a 1−D anharmonic potential, subject to external timedependent control fields, i.e. a driven multilevel quantum system. The problem of finding the required time-dependent co...

Sliding Mode Control of Two-Level Quantum Systems

In [Dong and Petersen, Sliding Mode Control of Two-Level Quantum Systems, arXiv:1009.0558, quant-ph, 2010], a sliding mode control approach has been proposed for twolevel quantum systems to deal with bounded uncertainties in the system Hamiltonian. This paper further extends these results in two directions. One extension is to consider the effect of uncertainties during the process of driving t...

Optimal control in laser-induced population transfer for two- and three-level quantum systems

We apply the techniques of control theory and of sub-Riemannian geometry to laser-induced population transfer in twoand three-level quantum systems. The aim is to induce complete population transfer by one or two laser pulses minimizing the pulse fluences. Sub-Riemannian geometry and singular-Riemannian geometry provide a natural framework for this minimization, where the optimal control is exp...

Optimal Control of Nonlinear Multivariable Systems

This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...