Monotone Riemannian metrics on density matrices with non-monotone scalar curvature
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Publication:4833083
DOI10.1063/1.1592874zbMath1062.81003arXivmath-ph/0305060OpenAlexW3103414287WikidataQ115334034 ScholiaQ115334034MaRDI QIDQ4833083
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0305060
General and philosophical questions in quantum theory (81P05) Quantum equilibrium statistical mechanics (general) (82B10) Applications of global differential geometry to the sciences (53C80)
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A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family ⋮ On the curvature of the quantum state space with pull-back metrics ⋮ Metric on the space of quantum states from relative entropy. Tomographic reconstruction ⋮ On the monotonicity of scalar curvature in classical and quantum information geometry ⋮ Quantum and Fisher information from the Husimi and related distributions
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