Group actions and monotone metric tensors: the qubit case

DOI10.1007/978-3-030-80209-7_17zbMath1487.81025arXiv2105.15067OpenAlexW3184911131MaRDI QIDQ2117843

Fabio Di Nocera, Florio M. Ciaglia

Publication date: 22 March 2022

Full work available at URL: https://arxiv.org/abs/2105.15067

zbMATH Keywords

Lie algebraunitary grouptwo-level quantum systemquantum information geometrymonotone metricsBogoliubov-Kubo-Mori metricBures-Helstrom metricWigner-Yanase metric

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Quantum optics (81V80) Applications of differential geometry to physics (53Z05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (1)

G-dual teleparallel connections in information geometry

Cites Work

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• The entropy-based quantum metric
• Monotone metrics on matrix spaces
• Manifolds of classical probability distributions and quantum density operators in infinite dimensions
• Statistical Structure of Quantum Theory
• Incomplete descriptions and relevant entropies
• Symmetries, Group Actions, and Entanglement
• Geometry of canonical correlation on the state space of a quantum system
• Quantum Aitchison geometry
• A Metric for Quantum States Issued from von Neumann’s Entropy

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