Small time controllability of systems on compact Lie groups and spin angular momentum

DOI10.1063/1.1388197zbMath1063.93007OpenAlexW1978300319WikidataQ115334046 ScholiaQ115334046MaRDI QIDQ2775044

Domenico D'Alessandro

Publication date: 26 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/247fd3b484b307b20581ea6e69b7d57ce571947d

Mathematics Subject Classification ID

Controllability (93B05) Lie algebras of Lie groups (22E60)

Related Items (7)

Controllability for a class of area-preserving twist maps ⋮ Unnamed Item ⋮ Minimal time for the bilinear control of Schrödinger equations ⋮ Optimal control methods for quantum gate preparation: a comparative study ⋮ Matrix representations for adjoint and anti-adjoint operators in multi-spin 1/2 systems ⋮ Ensemble controllability and discrimination of perturbed bilinear control systems on connected, simple, compact Lie groups ⋮ Controllability and simultaneous controllability of isospectral bilinear control systems on complex flag manifolds

Cites Work

• Geometric methods for nonlinear optimal control problems
• Topological properties of reachable sets and the control of quantum bits.
• Control systems on Lie groups
• Optimal control of two-level quantum systems
• System Theory on Group Manifolds and Coset Spaces

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