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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1002/chin.199438046

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1572-9036

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Critical Points of the Optimal Quantum Control Lan

Authors: TakSan Ho Herschel Rabitz Gabriel Turinici
Publish Date: 2012/02/08
Volume: 118, Issue: 1, Pages: 49-56
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Abstract

Numerical and experimental realizations of quantum control are closely connected to the properties of the mapping from the control to the unitary propagator Rabitz et al in Science 30356661998–2001 2004 For bilinear quantum control problems no general results are available to fully determine when this mapping is singular or not In this paper we give sufficient conditions in terms of elements of the evolution semigroup for a trajectory to be nonsingular We identify two lists of “waypoints” that when reached ensure the nonsingularity of the control trajectory It is found that under appropriate hypotheses one of those lists does not depend on the values of the coupling operator matrix

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  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
  3. Analysis of a Polynomial System Arising in the Design of an Optical Lattice Filter Useful in Channelization
  4. On L 1 Bounds for Asymptotic Normality of Some Weakly Dependent Random Variables
  5. Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures
  6. Noncommutative Dynamical Models with Quantum Symmetries
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  10. Variational Approach to the Inviscid Compressible Fluid
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