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Average Entropy of a Subsystem  Don N. Page
;  Date: 
7 May 1993  Journal:  Phys.Rev.Lett. 71 (1993) 12911294  Subject:  grqc hepth  Abstract:  If a quantum system of Hilbert space dimension $mn$ is in a random pure state, the average entropy of a subsystem of dimension $mleq n$ is conjectured to be $S_{m,n}=sum_{k=n+1}^{mn}frac{1}{k}frac{m1}{2n}$ and is shown to be $simeq ln m  frac{m}{2n}$ for $1ll mleq n$. Thus there is less than onehalf unit of information, on average, in the smaller subsystem of a total system in a random pure state.  Source:  arXiv, grqc/9305007  Other source:  [GID 524630] pmid10055503  Services:  Forum  Review  PDF  Favorites 


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