Stratified manifold of quantum states, actions of the complex special linear group

DOI10.1016/j.aop.2018.11.015zbMath1415.81013arXiv1811.07406OpenAlexW3103666569WikidataQ115597408 ScholiaQ115597408MaRDI QIDQ2424082

Alberto Ibort, Florio M. Ciaglia, Dariusz Chruściński, Giuseppe Marmo, Franco Ventriglia

Publication date: 24 June 2019

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

Full work available at URL: https://arxiv.org/abs/1811.07406

zbMATH Keywords

quantum information theorygeneral linear groupKähler geometryentanglementquantum state

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (5)

Information geometry, Jordan algebras, and a coadjoint orbit-like construction ⋮ Can Čencov meet Petz ⋮ On the pseudo-manifold of quantum states ⋮ Manifolds of classical probability distributions and quantum density operators in infinite dimensions ⋮ K\"ahler geometry on complex projective spaces via reduction and unfolding

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