Uniform finite generation of compact Lie groups.

DOI10.1016/S0167-6911(02)00178-0zbMath1094.22001WikidataQ115339583 ScholiaQ115339583MaRDI QIDQ1608354

Domenico D'Alessandro

Publication date: 5 August 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Lie groupsUniform generationUniversal quantum logic gates

Mathematics Subject Classification ID

Quantum computation (81P68) Nonlinear systems in control theory (93C10) Compact groups (22C05)

Related Items (2)

An upper bound on the time required to implement unitary operations ⋮ On groups with unbounded Cayley graphs

Cites Work

• Unnamed Item
• Bounds on the order of generation of SO(n,R) by one-parameter subgroups
• Uniform controllable sets of left-invariant vector fields on compact Lie groups
• Uniform finite generation of complex Lie groups of dimension two and three
• Uniform finite generation of Lie groups locally-isomorphic to SL(2,R)
• On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\)
• Uniform finite generation of the rotation group
• Control systems on Lie groups
• On the universality of almost every quantum logic gate
• Uniform Finite Generation of Threedimensional Linear Lie Groups
• Controllability of nonlinear systems

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