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High-performance control of quantum dynamics is key to the development of quantum technologies.
The control of quantum dynamics with tailored laser fields is finding growing experimental success.
Experiments in coherent spectroscopy correspond to control of quantum mechanical ensembles guiding them from initial to final target states.
This paper formulates and solves a variable structure control problem for the state control of quantum systems.
Several numerical examples demonstrate that the proposed methods can achieve improved performance for rapid state control of quantum systems.
Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing.
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For example, recently research on the control theory of quantum systems has attracted considerable attention [26 29].
The laser control technology of quantum system is expected to be applied for the industry as a highly-selective method for material separation, especially, isotope-selective excitation of diatomic molecules such as Cs133 and Cs135.
However, a genuine quantum metamaterial requires more than that, namely the active coherent control of the quantum state of the 'atoms' inserted in the photonic structure, so as to induce a control over the collective properties of the medium.
The estimates may be used for monitoring and/or feedback control of the quantum system.
Therefore, the whole process sequence must be tightly controlled for reproducible position control of the quantum dots.
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