The Wigner-Yanase entropy is not subadditive

Journal of Statistical Physics

Volumn 126, Issue 3, 2007, Pages 643-648

  Hansen, Frank ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Subadditivity; Wigner Yanase entropy

Indexed keywords

EID: 33847193188     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-006-9265-x     Document Type: Article

References (10)

1. H. Araki and E. Lieb, Entropy inequalities, Commun. Math. Phys. 18:160-170 (1970).
2. J. W. Gibbs, The collected works of J. Willard Gibbs, p. 159 (1928).
3. F. Hansen, Metric adjusted skew information, arXiv: math-ph/0607049, pp. 1-18 (2006).
4. O. E. Lanford III and D. W. Robinson, Mean entropy of states in quantum-statistical mechanics, J. Math. Phys. 9:1120-1125 (1968).
5. E. Lieb, Convex trace functions and the Wigner-Yanase-Dyson conjecture, Advances in Math. 11:267-288 (1973).
6. E. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy, J. Math. Phys. 14:1938-1941 (1973).
7. M. A. Nielsen and D. Petz, A simple proof of the strong subadditivity inequality, Quantum Information & Computation 5:507-513 (2005).
8. D. Ruelle, Statistical Mechanics, W.A. Benjamin, New York (1969).
9. A. Wehrl, General properties of entropy, Rev. Modern Phys. 50:221-260 (1978).
10. E. P. Wigner and M. M. Yanase, Information contents of distributions, Proc. Natl. Acad. Sci. U.S.A. 49:910-918 (1963).