Equivalence between exact and approximate controllability for finite-dimensional quantum systems

Authors :: Jean-Paul Gauthier
Francesco Rossi
Ugo Boscain
Mario Sigalotti
Sigalotti, Mario
Centre National de la Recherche Scientifique (CNRS)
Geometric Control Design (GECO)
Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP)
École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Laboratoire des Sciences de l'Information et des Systèmes (LSIS)
Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Paristech ENSAM Aix-en-Provence-Université de Toulon (UTLN)-Aix Marseille Université (AMU)
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Arts et Métiers Paristech ENSAM Aix-en-Provence-Centre National de la Recherche Scientifique (CNRS)
Source :: CDC, 54th IEEE Conference on Decision and Control, 54th IEEE Conference on Decision and Control, 2015, Osaka, Japan
Publication Year :: 2015
Publisher :: IEEE, 2015.
Abstract: In this paper we prove that approximate and exact controllability are equivalent properties for general closed finite-dimensional quantum systems.

Subjects :: Controllability
Aerospace electronics
Algebra
Hilbert space
Manifolds
Orbits
Control and Systems Engineering
Modeling and Simulation
Control and Optimization
Controllability Gramian
Mathematical analysis
[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]
symbols.namesake
symbols
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Equivalence (measure theory)
Quantum
ComputingMilieux_MISCELLANEOUS
Mathematics

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