Precise estimates of bounds on relative operator entropies
Shigeru Furuichi
TL;DR
This paper provides exact bounds for Tsallis and relative operator entropies, refining previous generalized results and offering more precise estimates for these quantum information measures.
Contribution
It introduces exact bounds for Tsallis and relative operator entropies, improving the precision of existing inequalities in quantum information theory.
Findings
Derived precise bounds for Tsallis relative operator entropy
Established exact bounds for relative operator entropy
Enhanced the accuracy of entropy estimates in quantum information
Abstract
Recently, Zou obtained the generalized results on the bounds for Tsallis relative operator entropy. In this short paper, we give precise bounds for Tsallis relative operator entropy. We also give precise bounds of relative operator entropy.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Numerical methods in inverse problems · Statistical Mechanics and Entropy