Information geometry of sandwiched Rényiα-divergence

DOI10.1088/1751-8121/AA6326zbMath1366.81048arXiv1608.07977OpenAlexW3105364477MaRDI QIDQ5267844

Kaito Takahashi, Akio Fujiwara

Publication date: 13 June 2017

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

Full work available at URL: https://arxiv.org/abs/1608.07977

zbMATH Keywords

relative entropymonotone metricdivergenceinformation geometryquantum statistical maniforld

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Measures of information, entropy (94A17) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (1)

Metric on the space of quantum states from relative entropy. Tomographic reconstruction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum detection and estimation theory
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
• Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation
• Geometry of minimum contrast
• Monotone metrics on matrix spaces
• Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
• α-z-Rényi relative entropies
• INFORMATION CONTENTS OF DISTRIBUTIONS
• A limit of the quantum Rényi divergence
• Sandwiched Rényi divergence satisfies data processing inequality
• Monotonicity of a relative Rényi entropy
• On quantum Rényi entropies: A new generalization and some properties

This page was built for publication: Information geometry of sandwiched Rényiα-divergence