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].
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics