The subject is applications of quasi-entropy in finite-dimensional spaces to many important quantities in quantum information. Operator monotone functions and relative modular operators are used. The origin is relative entropy, and f -divergence, monotone metrics, covariance and χ 2-divergence are the most important particular cases. Monotone metrics with two parameters are introduced and characterized by their joint convexity property.
|Number of pages||18|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - Oct 4 2012|
- F -divergenceχ -divergence
- Generalized covariance
- Monotone metric
ASJC Scopus subject areas