English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a systematic study of the geometric R\'enyi divergence (GRD), alsoknown as the maximal R\'enyi divergence, from the point of view of quantuminformation theory. We show that this divergence, together with its extensionto channels, has many appealing structural properties. For example we prove achain rule inequality that immediately implies the "amortization collapse" forthe geometric R\'enyi divergence, addressing an open question by Berta et al.[arXiv:1808.01498, Equation (55)] in the area of quantum channeldiscrimination. As applications, we explore various channel capacity problemsand construct new channel information measures based on the geometric R\'enyidivergence, sharpening the previously best-known bounds based on themax-relative entropy while still keeping the new bounds single-letterefficiently computable. A plethora of examples are investigated and theimprovements are evident for almost all cases.

Geometric R\'{e}nyi Divergence and its Applications in Quantum Channel Capacities