A geometric approach to quantum control in projective Hilbert spaces

DOI10.1016/S0034-4877(17)30020-4zbMath1384.81040arXiv1508.07209MaRDI QIDQ1744688

Davide Pastorello

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07209

zbMATH Keywords

geometric quantum mechanicsdynamical Lie algebraquantum control theory

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum control (81Q93)

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Cites Work

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• Generalized complex spherical harmonics, frame functions, and Gleason theorem
• Frame functions in finite-dimensional quantum mechanics and its Hamiltonian formulation on complex projective spaces
• A geometric Hamiltonian description of composite quantum systems and quantum entanglement
• Geometric Hamiltonian formulation of quantum mechanics in complex projective spaces
• Notions of controllability for bilinear multilevel quantum systems
• Geometric quantum mechanics

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