Monotonicity of a relative Rényi entropy

Journal Article · Sun Dec 15 04:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4838835· OSTI ID:22251741

We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al. [“On quantum Rényi entropies: A new definition, some properties,” J. Math. Phys. 54, 122203 (2013); e-print http://arxiv.org/abs/arXiv:1306.3142v1 ; see also e-print http://arxiv.org/abs/arXiv:1306.3142 ].

• OSTI ID: 22251741
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 54; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENTROPY
EXCITATION FUNCTIONS
MAPS