A strengthened data processing inequality for the Belavkin-Staszewski relative entropy
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
In this work, we provide a strengthening of the data processing inequality for the relative entropy introduced by Belavkin and Staszewski (BS-entropy). This extends previous results by Carlen and Vershynina for the relative entropy and other standard f-divergences. To this end, we provide two new equivalent conditions for the equality case of the data processing inequality for the BS-entropy. Subsequently, we extend our result to a larger class of maximal f-divergences. Here, we first focus on quantum channels which are conditional expectations onto subalgebras and use the Stinespring dilation to lift our results to arbitrary quantum channels.
Originalsprog | Engelsk |
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Tidsskrift | Reviews in Mathematical Physics |
ISSN | 0129-055X |
DOI | |
Status | E-pub ahead of print - 2019 |
Eksternt udgivet | Ja |
ID: 231872668