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Page conjectured very recently [Phys. Rev. Lett. 71, 1291 (1993)] that 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 given by Sm,n=tsumₖ₌ₙ₊₁ᵐⁿ1/k-(m-1)/2n. We outline a proof of this elegant formula.
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Foong et al. (1994) studied this question.
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