Phys. Rev. Lett. 71, 1291–1294 (1993)Average entropy of a subsystemReceived 7 May 1993; published in the issue dated 30 August 1993 If a quantum system of Hilbert space dimension mn is in a random pure state, the average entropy of a subsystem of dimension m≤n is conjectured to be Sm,n= Sk=n+1mn 1/k-m-1/2n and is shown to be ≃lnm-m/2n for 1≪m≤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. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.1291
DOI:
10.1103/PhysRevLett.71.1291
PACS:
05.30.Ch, 03.65.-w, 05.90.+m
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