English

Uniform continuity bound for sandwiched R\'enyi conditional entropy

Quantum Physics 2022-05-20 v2 Information Theory math.IT Probability

Abstract

We prove a simple uniform continuity bound for the sandwiched R\'enyi conditional entropy for α[1/2,1)(1,]\alpha \in [1/2, 1) \cup (1, \infty], which is independent of the dimension of the conditioning system.

Cite

@article{arxiv.2201.05534,
  title  = {Uniform continuity bound for sandwiched R\'enyi conditional entropy},
  author = {Ashutosh Marwah and Frédéric Dupuis},
  journal= {arXiv preprint arXiv:2201.05534},
  year   = {2022}
}

Comments

v2 is the published version. We have added some citations and corrected some typos

R2 v1 2026-06-24T08:50:19.388Z