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CORR
2011
Springer
156views Education» more  CORR 2011»
14 years 1 months ago
From joint convexity of quantum relative entropy to a concavity theorem of Lieb
This paper provides a succinct proof of a 1973 theorem of Lieb that establishes the concavity of a certain trace function. The development relies on a deep result from quantum info...
Joel A. Tropp
IANDC
2010
87views more  IANDC 2010»
14 years 7 months ago
Effective symbolic dynamics, random points, statistical behavior, complexity and entropy
We consider the dynamical behavior of Martin-L
Stefano Galatolo, Mathieu Hoyrup, Cristobal Rojas
SCHOLARPEDIA
2008
187views more  SCHOLARPEDIA 2008»
14 years 9 months ago
Bekenstein-Hawking entropy
We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity b...
Jacob Bekenstein
CORR
2010
Springer
130views Education» more  CORR 2010»
14 years 10 months ago
Sharp Bounds on the Entropy of the Poisson Law and Related Quantities
One of the difficulties in calculating the capacity of certain Poisson channels is that H(), the entropy of the Poisson distribution with mean , is not available in a simple form. ...
José A. Adell, Alberto Lekuona, Yaming Yu