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We propose feedback control laws for quantum systems, based on Lyapunov design. These feedback laws locally asymptotically stabilize any desired eigenstate of the system Hamiltonian. The target eigenstate and the size of its region of attraction can be tailored by the choice of design parameters. These feedback control laws are used to design open loop… (More)

- Symeon Grivopoulos, Bassam Bamieh
- IEEE Trans. Automat. Contr.
- 2008

Transferring the state of a quantum system to a given distribution of populations is an important problem with applications to Quantum Chemistry and Atomic Physics. In this work we consider exact population transfers that minimize the L norm of the control which is typically the amplitude of an electromagnetic field. This problem is analytically and… (More)

- Hendra Ishwara Nurdin, Symeon Grivopoulos, Ian R. Petersen
- Automatica
- 2016

This paper establishes that generic linear quantum stochastic systems have a pure cascade realization of their transfer function, generalizing an earlier result established only for the special class of completely passive linear quantum stochastic systems. In particular, a cascade realization therefore exists for generic active linear quantum stochastic… (More)

Motivated by developments and problems in a number of disciplines including Quantum Chemistry, Information and Optics, the theory of Control of Quantum Systems has emerged. Its goal is to apply the tools and methods of Control Theory in the analysis and design of scientific and engineering applications of Quantum Systems. At the same time, Control Theory… (More)

We consider an optimal population transfer problem for a finite-dimensional quantum system with an energy-like cost. We show that a way to realize a small control limit is as the limit of large transfer time T . In the process we show that, in the large T limit, the optimal control is a sum of terms with the following structure: Each term is an exponential… (More)

We consider the optimal control problem for a (finite-dimensional) quantum system with an energy-like cost. We explore the limit of small control amplitude and construct an approximation to the two-point boundary value problem resulting from the Maximum Principle. By solving the approximate two-point boundary value problem in two examples, we argue that… (More)

- Symeon Grivopoulos, Igor Mezic, +6 authors Umesh Vaidya
- 2005

Motivated by developments and problems in a number of disciplines including Quantum Chemistry, Information and Optics, the theory of Control of Quantum Systems has emerged. Its goal is to apply the tools and methods of Control Theory in the analysis and design of scientific and engineering applications of Quantum Systems. At the same time, Control Theory… (More)

The realization of transfer functions of Linear Quantum Stochastic Systems (LQSSs) is an issue of fundamental importance for the practical applications of such systems, especially as coherent controllers for other quantum systems. In this paper, we review two realization methods proposed by the authors in [1], [2], [3], [4]. The first one uses a cascade of… (More)

- Mathew, IGOR MEZI Ć, Symeon Grivopoulos, Umesh Vaidya, INDA PETZOLD
- 2006

Motivated by the problem of microfluidic mixing, the problem of optimal control of advective mixing in Stokes fluid flows is considered. The velocity field is assumed to be induced by a finite set of spatially distributed force fields that can be modulated arbitrarily with time and a passive material is advected by the flow. To quantify the degree of… (More)