Frame functions in finite-dimensional quantum mechanics and its Hamiltonian formulation on complex projective spaces

DOI10.1142/S0219887816500134zbMath1339.81059arXiv1311.1720MaRDI QIDQ2795361

Davide Pastorello, Valter Moretti

Publication date: 21 March 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1720

zbMATH Keywords

complex projective spaceGleason's theoremgeometric quantisationframe function

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Quantum measurement theory, state operations, state preparations (81P15) Geometric quantization (53D50) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

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A geometric Hamiltonian description of composite quantum systems and quantum entanglement, A geometrization of quantum mutual information, A geometric approach to quantum control in projective Hilbert spaces, Non-Markovianity of geometrical qudit decoherence, Geometric Hamiltonian quantum mechanics and applications

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