Abstract
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 arXiv:1306.3142v1; see also e-print arXiv:1306.3142].
Original language | English (US) |
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Article number | 122201 |
Journal | Journal of Mathematical Physics |
Volume | 54 |
Issue number | 12 |
DOIs | |
State | Published - Dec 3 2013 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics