CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT I: PURE STATES

DOI10.1142/S0219887810004300zbMath1190.81005arXiv0911.3082MaRDI QIDQ3569298

Paolo Aniello, Georg Friedrich Volkert, Giuseppe Marmo, Jesús Clemente-Gallardo

Publication date: 18 June 2010

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

Full work available at URL: https://arxiv.org/abs/0911.3082

zbMATH Keywords

Kähler manifoldgroup actionentanglemententanglement monotonegeometric quantum mechanicsLie group orbit

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum coherence, entanglement, quantum correlations (81P40) Methods of local Riemannian geometry (53B21)

Related Items (4)

Geometry of the Parameter Space of a Quantum System: Classical Point of View ⋮ Stratified manifold of quantum states, actions of the complex special linear group ⋮ Tensorial dynamics on the space of quantum states ⋮ CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT II: MIXED STATES

Cites Work

• Coherent states for arbitrary Lie group
• Symmetries, Group Actions, and Entanglement
• CLASSICAL TENSORS FROM QUANTUM STATES
• CPⁿ, OR, ENTANGLEMENT ILLUSTRATED
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Geometry of quantum systems: density states and entanglement
• Geometrization of quantum mechanics

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