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- W2939305259 abstract "This chapter illustrates a unified frame of quantum systems theory in view of control engineering. In the chapter, controllability criteria is shifted from the well-known Lie-algebra rank condition to symmetry conditions that are easy to check yet rigorously rooted in the branching diagrams for simple subalgebras of Su(N). The chapter applies quantum systems theory for bilinear control systems of closed and open systems. It then shows how the emerging quantum systems theory links to many applications in quantum simulation and control without sacrificing mathematical rigor. The chapter points out how gradient flows form the missing link to numerical optimal control algorithms for explicit steerings (control amplitudes) for manipulating closed and open (Markovian and non-Markovian) systems in finite dimensions. Finally, it gives an outlook on a Lie picture of systems and control theory in infinite dimensions and its application to Jaynes-Cummings systems, for example, like atoms in a cavity." @default.
- W2939305259 created "2019-04-25" @default.
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- W2939305259 date "2016-04-18" @default.
- W2939305259 modified "2023-10-16" @default.
- W2939305259 title "A Brief on Quantum Systems Theory and Control Engineering" @default.
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- W2939305259 doi "https://doi.org/10.1002/9783527805785.ch27" @default.
- W2939305259 hasPublicationYear "2016" @default.
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