Constructive control of quantum-mechanical systems

In this paper we develop a method for exact constructive controllability of quantum mechanical systems. The method has three steps, first a path from the initial state to the final state is determined and intermediate points chosen such that any two consecutive points are close, next small sinusoida...

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Bibliographic Details
Published inProceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) Vol. 2; pp. 1601 - 1606 vol.2
Main Authors Sahoo, D.R., Salapaka, M.V.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2001
Subjects
Control systems
Controllability
Laser theory
Measurement techniques
Mechanical systems
Nonlinear systems
Optical control
Optimal control
Quantum computing
Quantum mechanics
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Summary:In this paper we develop a method for exact constructive controllability of quantum mechanical systems. The method has three steps, first a path from the initial state to the final state is determined and intermediate points chosen such that any two consecutive points are close, next small sinusoidal control signals are used to drive the system between the points, and finally quantum measurement technique is used to exactly achieve the desired state. The methodology is demonstrated for the control of spin-half particles in a Stern-Gerlach setting.
ISBN:9780780370616
0780370619
DOI:10.1109/CDC.2001.981128