Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture
Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A → — Tr exp(L + In A). Some of these have applications to physics, specifically to the Wigner—Yanase—Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.
KeywordsHilbert Space Strong Subadditivity Finite Dimensional Hilbert Space Nonnegative Real Finite Dimen
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- 5.E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum mechanical entropy, Dec. 1973. J. Math. Phys. See also A fundamental property of quantum mechanical entropy, Phys. Rev. Lett. 30 (1973), 434-436.Google Scholar
- 9.F. Baumann and R. Jost, Remarks on a conjecture of Robinson and Ruelle concerning the quantum mechanical entropy, in “Problems of Theoretical Physics; Essays Devoted to N. N. Bogoliubov,” pp. 285–293, Nauka, Moscow, 1969Google Scholar