Proof of the Strong Subadditivity of Quantum-Mechanical Entropy
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 19 (1973), Exposé no. 5, 20 p. 
@article{RCP25_1973__19__A5_0,
     author = {Lieb, Elliott H. and Ruskai, Mary Beth},
     title = {Proof of the {Strong} {Subadditivity} of {Quantum-Mechanical} {Entropy}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:5},
     pages = {36--55},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {19},
     year = {1973},
     language = {en},
     url = {http://www.numdam.org/item/RCP25_1973__19__A5_0/}
}
TY  - JOUR
AU  - Lieb, Elliott H.
AU  - Ruskai, Mary Beth
TI  - Proof of the Strong Subadditivity of Quantum-Mechanical Entropy
JO  - Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
N1  - talk:5
PY  - 1973
SP  - 36
EP  - 55
VL  - 19
PB  - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
UR  - http://www.numdam.org/item/RCP25_1973__19__A5_0/
LA  - en
ID  - RCP25_1973__19__A5_0
ER  - 
%0 Journal Article
%A Lieb, Elliott H.
%A Ruskai, Mary Beth
%T Proof of the Strong Subadditivity of Quantum-Mechanical Entropy
%J Les rencontres physiciens-mathématiciens de Strasbourg -RCP25
%Z talk:5
%D 1973
%P 36-55
%V 19
%I Institut de Recherche Mathématique Avancée - Université Louis Pasteur
%U http://www.numdam.org/item/RCP25_1973__19__A5_0/
%G en
%F RCP25_1973__19__A5_0
Lieb, Elliott H.; Ruskai, Mary Beth. Proof of the Strong Subadditivity of Quantum-Mechanical Entropy. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 19 (1973), Exposé no. 5, 20 p. http://www.numdam.org/item/RCP25_1973__19__A5_0/

[1] E. H. Lieb and M. B. Ruskai, Phys. Rev. Letters 30, 434 (1973). | MR

[2] H. Araki and E. H. Lieb, Commun. Math. Phys. 18, 160 (1970). | MR

[3] F. Bauman and R. Jost, in Problems of Theoretical Physics ; Essays Dedicated to N. N. Bogoliubov, 285, Moscow, Nauka (1969).

[4] R. Jost, in "Quanta" -Essays in Theoretical Physics Dedicated to Gregor Wentzel, P. G. O. Freund, C. J. Goebel and Y. Nambu eds., 13, University of Chicago Press, Chicago (1970).

[5] F. Baumann, Helv. Phys. Acta 44, 95 (1971). | MR

[6] D. W. Robinson and D. Ruelle, Commun. Math. Phys. 5, 288 (1967). | MR | Zbl

[7] O. Lanford Iii and D. W. Robinson, J. Math. Phys. 9, 1120 (1968). | MR | Zbl

[8] E. P. Wigner and M. M. Yanase, Proc. Nat. Acad. Sci. 49, 910 (1963) ; | MR | Zbl

E. P. Wigner and M. M. Yanase, Canad. J. Math. 16, 397 (1964). | MR | Zbl

[9] A. Uhlmann, "Endlich Dimensionale Dichtematrizen, II". Wiss. Z. Karl-Marx-Univ. Leipzig, Math-Naturwiss. R., to appear. | MR

[10] D. Ruelle, Statistical Mechanics : Rigorous Results. Benjamin, New York (1969), Theorem 2.5.2. | MR | Zbl

[11] E. H. Lieb, "Convex Trace Functions and Proof of the Wigner- Yanase - Dyson Conjecture". To appear in Advances in Mathematics. | MR

[12] H. Epstein, "Remark on Two Theorems of E. Lieb", Preprint | MR | Zbl

[13] M. B. Ruskai, "A Generalization of the Entropy Using Traces on von Neumann Algebras". Preprint. | Numdam | MR | Zbl

[14] O. Lanford Iii, in Statistical Mechanics and Quantum Field Theory, C. De Witt and R. Stora eds., 174, Gordon and Breach, New York (1971). | Zbl