Comment on "Quantum Kaniadakis entropy under projective measurement"

BOSYK, GUSTAVO MARTÍN; PORTESI, MARIELA; HOLIK, FEDERICO; ZOZOR, STEEVE; LAMBERTI. PEDRO WALTER

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2016 vol. 94 p. 261031 - 261032

1539-3755

We comment on the main result given by Ourabah et al. [Phys. Rev. E 92, 032114 (2015)], noting that it can be derived as a special case of the more general study that we have provided in [Quantum Inf Process 15, 3393 (2016)]. Our proof of the nondecreasing character under projective measurements of so-called generalized (h,φ) entropies (that comprise the Kaniadakis family as a particular case) has been based on majorization and Schur-concavity arguments. As a consequence, we have obtained that this property is obviously satisfied byKaniadakis entropy but at the same time is fulfilled by all entropies preserving majorization. In addition, we have seen that our result holds for any bistochastic map, being a projective measurement a particular case. We arguehere that looking at these facts from the point of view given in [Quantum Inf Process 15, 3393 (2016)] not only simplifies the demonstrations but allows for a deeper understanding of the entropic properties involved.