A family of generalized quantum entropies: definition and properties

G. M. Bosyk, S. Zozor, F. Holik, M. Portesi, P. W. Lamberti

Onderzoeksoutput: Articlepeer review

38 Citaten (Scopus)


We present a quantum version of the generalized (h, ϕ) -entropies, introduced by Salicrú et al. for the study of classical probability distributions. We establish their basic properties and show that already known quantum entropies such as von Neumann, and quantum versions of Rényi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicrú form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum (h, ϕ) -entropies under the action of quantum operations and study their properties for composite systems. We apply these generalized entropies to the problem of detection of quantum entanglement and introduce a discussion on possible generalized conditional entropies as well.

Originele taal-2English
Pagina's (van-tot)3393-3420
Aantal pagina's28
TijdschriftQuantum Information Processing
Nummer van het tijdschrift8
StatusPublished - 1 aug 2016


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