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05 November 2024
 
  » arxiv » gr-qc/9305007

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Average Entropy of a Subsystem
Don N. Page ;
Date 7 May 1993
Journal Phys.Rev.Lett. 71 (1993) 1291-1294
Subject gr-qc hep-th
AbstractIf 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 $S_{m,n}=sum_{k=n+1}^{mn}frac{1}{k}-frac{m-1}{2n}$ and is shown to be $simeq ln m - frac{m}{2n}$ for $1ll mleq n$. Thus there is less than one-half unit of information, on average, in the smaller subsystem of a total system in a random pure state.
Source arXiv, gr-qc/9305007
Other source [GID 524630] pmid10055503
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