Proof of the strong subadditivity of quantum-mechanical entropy

  • Elliott H. Lieb
  • Mary Beth Ruskai


In this paper we prove several theorems about quantum mechanical entropy, in particular, that it is strongly subadditive (SSA). These theorems were announced in an earlier note,1 to which we refer the reader for a discussion of the physical significance of SSA and for a review of the historical background. We repeat here a bibliography of relevant papers.2-9.


Compact Operator Positive Matrice Strong Subadditivity Positive Compact Operator Mechanical Entropy 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Elliott H. Lieb
    • 1
  • Mary Beth Ruskai
    • 2
  1. 1.I.H.E.S.France
  2. 2.Department of MathematicsM.I.T.CambridgeUSA

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