Monotonicity of a relative Rényi entropy

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

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

Frank, Rupert L., E-mail: [e-mail] ^[1]; Lieb, Elliott H., E-mail: [e-mail] ^[2]

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1. Mathematics 253-37, Caltech, Pasadena, California 91125 (United States)
2. Departments of Mathematics and Physics, Princeton University, Washington Road, Princeton, New Jersey 08544 (United States)

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, Vol. 54, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENTROPY
EXCITATION FUNCTIONS
MAPS