On the monotonicity of scalar curvature in classical and quantum information geometry

DOI10.1063/1.1834693zbMath1076.81006arXivmath-ph/0407007OpenAlexW3104587428MaRDI QIDQ3024218

Tommaso Isola, Paolo Gibilisco

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0407007

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15)

Related Items

Information geometric methods for complexity ⋮ Uncertainty principle and quantum Fisher information ⋮ On the curvature of the quantum state space with pull-back metrics ⋮ Monotonicity of the scalar curvature of the quantum exponential family for transverse-field Ising chains ⋮ Tomographic reconstruction of quantum metrics ⋮ Uncertainty principle and quantum Fisher information. II. ⋮ A volume inequality for quantum Fisher information and the uncertainty principle ⋮ A Robertson-type uncertainty principle and quantum Fisher information ⋮ Inequalities for quantum Fisher information

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