Symmetry principles in quantum systems theory

DOI10.1063/1.3657939zbMath1272.81035arXiv1012.5256OpenAlexW1992651606MaRDI QIDQ2851787

Robert Zeier, Th. Schulte-Herbrüggen

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1012.5256

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum control (81Q93)

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Computation of dilated Kronecker coefficients, Dynamical decomposition of bilinear control systems subject to symmetries, Erratum: “Symmetry principles in quantum systems theory” [J. Math. Phys. 52, 113510 (2011)], On squares of representations of compact Lie algebras, Universality of single-qudit gates, On the universality and membership problems for quantum gates, Some controllable and uncontrollable degenerate four-level quantum systems, Efficient realization of unitary transformation at the quantum speed limit, On the universality of the quantum approximate optimization algorithm, Control of open quantum systems: case study of the central spin model, How to suppress dark states in quantum networks and bio-engineered structures, Exact Algebraic Conditions for Indirect Controllability of Quantum Systems

Uses Software

• LiE

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