scholarly journals The Differential Entropy of the Joint Distribution of Eigenvalues of Random Density Matrices

Entropy ◽  
2016 ◽  
Vol 18 (9) ◽  
pp. 342 ◽  
Author(s):  
Laizhen Luo ◽  
Jiamei Wang ◽  
Lin Zhang ◽  
Shifang Zhang
Keyword(s):  
Joint Distribution ◽  
Differential Entropy ◽  
Density Matrices ◽  
Distribution Of Eigenvalues

scholarly journals Uniform probability distribution over all density matrices

2022 ◽  
Author(s):  
Eddy Keming Chen ◽  
Roderich Tumulka
Keyword(s):  
Hilbert Space ◽  
Probability Distribution ◽  
Probability Measure ◽  
Density Matrix ◽  
Uniform Distribution ◽  
Joint Distribution ◽  
Complex Hilbert Space ◽  
Density Matrices ◽  
Finite Dimensional ◽  
Uniform Probability Distribution

AbstractLet $$\mathscr {H}$$ H be a finite-dimensional complex Hilbert space and $$\mathscr {D}$$ D the set of density matrices on $$\mathscr {H}$$ H , i.e., the positive operators with trace 1. Our goal in this note is to identify a probability measure u on $$\mathscr {D}$$ D that can be regarded as the uniform distribution over $$\mathscr {D}$$ D . We propose a measure on $$\mathscr {D}$$ D , argue that it can be so regarded, discuss its properties, and compute the joint distribution of the eigenvalues of a random density matrix distributed according to this measure.

Emanuel Ringelblum przed wojną: człowiek i historyk

2007 ◽  
pp. 211-220
Author(s):  
Samuel Kassow
Keyword(s):  
Joint Distribution ◽  
Education Agency ◽  
Active Membership

This article discusses the pre-war life of Emanuel Ringelblum – from the organisation of the Junger Historiker Krajz (the circle of young Jewish historians) at Warsaw University, through his YIVO activity, his involvement in the setting up of tourist associations, work for the Joint Distribution Committee as editor-in-chief of „Folkshilf”, active membership in Poale Zion-Left (he ran its most important education agency: the Ovnt kursn far arbiter) to his involvement in organisation of aid for Jews in the transit camp in Zbąszyń in 1938.

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