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Article overview
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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 | 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 $S_{m,n}=sum_{k=n+1}^{mn}frac{1}{k}-frac{m-1}{2n}$ 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 | Services: | Forum | Review | PDF | Favorites |
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