Hamiltonian Control of Quantum Dynamical Semigroups: Stabilization and Convergence Speed
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Ticozzi11draft.pdf
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Author(s)
Cappellaro, Paola
Ticozzi, Francesco
Lucchese, Riccardo
Viola, Lorenza
Date Issued
August 2012
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Ticozzi, F., R. Lucchese, P. Cappellaro, and L. Viola. “Hamiltonian Control of Quantum Dynamical Semigroups: Stabilization and Convergence Speed.” IEEE Transactions on Automatic Control 57, no. 8 (August 2012): 1931-1944.
Version
Author's final manuscript
Abstract
We consider finite-dimensional Markovian open quantum systems, and characterize the extent to which time-independent Hamiltonian control may allow to stabilize a target quantum state or subspace and optimize the resulting convergence speed. For a generic Lindblad master equation, we introduce a dissipation-induced decomposition of the associated Hilbert space, and show how it serves both as a tool to analyze global stability properties for given control resources and as the starting point to synthesize controls that ensure rapid convergence. The resulting design principles are illustrated in realistic Markovian control settings motivated by quantum information processing, including quantum-optical systems and nitrogen-vacancy centers in diamond.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1109/TAC.2012.2195858
