Abstract
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 = 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.
- Received 7 May 1993
DOI:https://doi.org/10.1103/PhysRevLett.71.1291
©1993 American Physical Society