Some mathematical and algorithmic challenges in the control of quantum dynamics phenomena

DOI10.1023/A:1015482329835zbMath0996.81001OpenAlexW1592361956WikidataQ105672220 ScholiaQ105672220MaRDI QIDQ1610765

R. Smith

Publication date: 20 August 2002

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015482329835

zbMATH Keywords

inverse problemsquantum dynamicsoptimal control theorylearning and feedback methodsquantum control theory

Mathematics Subject Classification ID

Application models in control theory (93C95) Inverse scattering problems in quantum theory (81U40) Computational methods for problems pertaining to quantum theory (81-08) Molecular physics (81V55)

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Pontryagin principle of maximum for the quantum problem of speed ⋮ Feedback control of spin systems ⋮ Optimal Control of Self-Consistent Classical and Quantum Particle Systems ⋮ Preparation of entanglement states in a two-spin system by Lyapunov-based method ⋮ Control of quantum phenomena: past, present and future ⋮ Control: a perspective ⋮ Selective control of the observables in the ensemble of quantum mechanical molecular systems ⋮ Horizons of cybernetical physics ⋮ CONTROL OF QUANTUM ROTOR WITH SPIN-1/2 ⋮ Convergence of the time-discretized monotonic schemes ⋮ Constructive solution of a bilinear optimal control problem for a Schrödinger equation ⋮ CONTROLLING THE QUANTUM ROTOR WITH A TIME-DEPENDENT MAGNETIC FLUX

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