On the curvature of monotone metrics and a conjecture concerning the Kubo-Mori metric

DOI10.1016/S0024-3795(00)00130-0zbMath1031.53108arXivquant-ph/9906009OpenAlexW2154109867WikidataQ123255213 ScholiaQ123255213MaRDI QIDQ1583718

Jochen Dittmann

Publication date: 7 March 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9906009

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Quantum measurement theory, state operations, state preparations (81P15) Statistical aspects of information-theoretic topics (62B10)

Related Items (9)

Geodesic distances on density matrices ⋮ On the curvature of the quantum state space with pull-back metrics ⋮ Reconstructing the relaxation dynamics induced by an unknown heat bath ⋮ Information geometry of warped product spaces ⋮ Monotonicity of the scalar curvature of the quantum exponential family for transverse-field Ising chains ⋮ Metric on the space of quantum states from relative entropy. Tomographic reconstruction ⋮ Flat connections and Wigner-Yanase-Dyson metrics ⋮ On the monotonicity of scalar curvature in classical and quantum information geometry ⋮ Bures geometry of three-level quantum systems

Cites Work

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• A class of connections governing parallel transport along density matrices
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