Average Entropy of a Subsystem

Details Average Entropy of a Subsystem Average Entropy of a Subsystem

1996-01-24

arxiv.org/abs/hep-th/9601132v1

Phys.Rev.Lett. 77 (1996) 1-3

Physics

High Energy Physics

High Energy Physics - Theory

2 pages, requires revtex

Scientific paper

10.1103/PhysRevLett.77.1

It was recently conjectured by D. Page that if a quantum system of Hilbert
space dimension $nm$ is in a random pure state then the average entropy of a
subsystem of dimension $m$ where $m \leq n$ is $ S_{mn} =
\sum^{mn}_{k=n+1}(1/k) - (m-1)/2n$. In this letter this conjecture is proved.

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