Average entropy of a subsystem

Don N. Page
Phys. Rev. Lett. 71, 1291 – Published 30 August 1993
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Abstract

If a quantum system of Hilbert space dimension mn is in a random pure state, the average entropy of a subsystem of dimension mn is conjectured to be Sm,n= Sk=n+1mn 1/k-m-1/2n and is shown to be ≃lnm-m/2n for 1≪mn. 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.

  • Received 7 May 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.1291

©1993 American Physical Society

Authors & Affiliations

Don N. Page

  • CIAR Cosmology Program, Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

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Vol. 71, Iss. 9 — 30 August 1993

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