INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
Comment on ``Quantum Kaniadakis entropy under projective measurement''
Autor/es:
GUSTAVO BOSYK; STEEVE ZOZOR; FEDERICO HOLIK; MARIELA PORTESI; PEDRO WALTER LAMBERTI
Revista:
PHYSICAL REVIEW E
Editorial:
AMER PHYSICAL SOC
Referencias:
Lugar: New York; Año: 2016
ISSN:
1539-3755
Resumen:
We comment on the main result given by Ourabah et al. in [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 [arXiv:1506.02090]. Our proof of the non-decreasing 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 by Kaniadakis 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 argue here that looking at these facts from the point of view given in [arXiv:1506.02090] not only simplifies the demonstrations but allows for a deeper understanding of the entropic properties involved.