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Proceedings of the 44th IEEE Conference on Decision and Control

DOI: 10.1109/cdc.2005.1583490

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Equivalence between local tracking procedures and monotonic algorithms in quantum control

Proceedings article published in 1970 by Gabriel Turinici ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

The computer simulations of quantum control use several approaches including local tracking procedures that prescribe the controlling field through the requirement that a certain functional be decreasing and monotonic algorithms that solve the Euler-Lagrange equations for a predefined cost functional. While different in implementation, recent works [1] hinted that these two classes share some common characteristics. We propose in this contribution a rigorous ground for such conclusions and discuss the precise formulation that allows to construct this equivalence.