Relative operator entropy related with the spectral geometric mean

DOI10.1007/s13324-015-0099-zzbMath1327.82003OpenAlexW1991373512MaRDI QIDQ496351

Sejong Kim, Ho Soo Lee

Publication date: 21 September 2015

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-015-0099-z

zbMATH Keywords

tensor productsubadditivityquantum relative entropyspectral geometric meanrelative operator entropy

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)

Related Items

Relative Operator Entropy ⋮ Optimization of quantum divergences between unitary orbits ⋮ Inequalities and limits of weighted spectral geometric mean ⋮ Revisit on spectral geometric mean ⋮ Unnamed Item ⋮ On preservers related to the spectral geometric mean ⋮ Operator inequalities and gyrolines of the weighted geometric means ⋮ On the further refinement of some operator inequalities for positive linear map

Cites Work

• Riemannian geometry and matrix geometric means
• Operator entropy and fidelity associated with the geometric mean
• A note on operator inequalities of Tsallis relative operator entropy
• Fundamental properties of Tsallis relative entropy
• Matrix Analysis
• Unnamed Item
• Unnamed Item