Proof of the Strong Subadditivity of Quantum-Mechanical Entropy

Elliott H. Lieb; Mary Beth Ruskai

Recherche Coopérative sur Programme n°25 (1973)

  • Volume: 19, page 36-55

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Lieb, Elliott H., and Ruskai, Mary Beth. "Proof of the Strong Subadditivity of Quantum-Mechanical Entropy." Recherche Coopérative sur Programme n°25 19 (1973): 36-55. <http://eudml.org/doc/274115>.

@article{Lieb1973,
author = {Lieb, Elliott H., Ruskai, Mary Beth},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {36-55},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Proof of the Strong Subadditivity of Quantum-Mechanical Entropy},
url = {http://eudml.org/doc/274115},
volume = {19},
year = {1973},
}

TY - JOUR
AU - Lieb, Elliott H.
AU - Ruskai, Mary Beth
TI - Proof of the Strong Subadditivity of Quantum-Mechanical Entropy
JO - Recherche Coopérative sur Programme n°25
PY - 1973
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 19
SP - 36
EP - 55
LA - eng
UR - http://eudml.org/doc/274115
ER -

References

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  1. [1] E. H. Lieb and M. B. Ruskai, Phys. Rev. Letters30, 434 (1973). MR373508
  2. [2] H. Araki and E. H. Lieb, Commun. Math. Phys.18, 160 (1970). MR266563
  3. [3] F. Bauman and R. Jost, in Problems of Theoretical Physics ; Essays Dedicated to N. N. Bogoliubov, 285, Moscow, Nauka (1969). 
  4. [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. [5] F. Baumann, Helv. Phys. Acta44, 95 (1971). MR303895
  6. [6] D. W. Robinson and D. Ruelle, Commun. Math. Phys.5, 288 (1967). Zbl0144.48205MR225553
  7. [7] O. Lanford III and D. W. Robinson, J. Math. Phys.9, 1120 (1968). Zbl0174.28303MR234696
  8. [8] E. P. Wigner and M. M. Yanase, Proc. Nat. Acad. Sci.49, 910 (1963) ; Zbl0128.14104MR151127
  9. E. P. Wigner and M. M. Yanase, Canad. J. Math.16, 397 (1964). Zbl0121.26203MR162810
  10. [9] A. Uhlmann, "Endlich Dimensionale Dichtematrizen, II". Wiss. Z. Karl-Marx-Univ.Leipzig, Math-Naturwiss. R., to appear. MR400997
  11. [10] D. Ruelle, Statistical Mechanics : Rigorous Results. Benjamin, New York (1969), Theorem 2.5.2. Zbl0177.57301MR289084
  12. [11] E. H. Lieb, "Convex Trace Functions and Proof of the Wigner- Yanase - Dyson Conjecture". To appear in Advances in Mathematics. Zbl0267.46055MR332080
  13. [12] H. Epstein, "Remark on Two Theorems of E. Lieb", Preprint Zbl0257.46089MR343073
  14. [13] M. B. Ruskai, "A Generalization of the Entropy Using Traces on von Neumann Algebras". Preprint. Zbl0288.46062MR349182
  15. [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). Zbl0242.46002

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