On the failure of subadditivity of the Wigner-Yanase entropy

Letters in Mathematical Physics

Volumn 80, Issue 3, 2007, Pages 285-288

  Seiringer, Robert ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Correlation inequality; Entropy; Subadditivity

Indexed keywords

EID: 34250893804     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-007-0159-x     Document Type: Article

References (5)

1. Frank, R.L., Lieb, E.H., Seiringer, R., Siedentop, H.: Müller's exchange-correlation energy in density-matrix-functional theory. (Preprint) arXiv:0705.1587v1 [cond-mat.str-el]
2. Hansen, F.: The Wigner-Yanase entropy is not subadditive. J. Stat. Phys. 126, 643-648 (2007)
3. Müller, A.M.K.: Explicit approximate relation between reduced two- and one-particle density matrices. Phys. Lett. A 105, 446-452 (1984)
4. Wigner, E.P., Yanase, M.M.: Information content of distributions. Proc. Nat. Acad. Sci. USA 49, 910-918 (1963)
5. Wigner, E.P., Yanase, M.M.: On the positive semidefinite nature of a certain matrix expression. Can. J. Math. 16, 397-406 (1964)