Entropy of an <i>n</i>-system from its correlation with a <i>k</i>-reservoir

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  • Elihu Lubkin
    Physics Department, The University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201

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<jats:p>Let a random pure state vector be chosen in nk-dimensional Hilbert space, and consider an n-dimensional subsystem’s density matrix P. P will usually be close to the totally unpolarized mixed state if k is large. Specifically, the rms deviation of a probability from the mean value 1/n is [(1−1/n2)/(kn +1)]1/2. ’’Random’’ refers to unitarily invariant Haar measure.</jats:p>

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