pith. machine review for the scientific record. sign in

arxiv: hep-th/9601132 · v1 · submitted 1996-01-24 · ✦ hep-th

Recognition: unknown

Average Entropy of a Subsystem

Siddhartha Sen
Authors on Pith no claims yet
classification ✦ hep-th
keywords averagedimensionentropysubsystemconjectureconjecturedhilbertletter
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Large $N$ factorization of families of tensor trace-invariants

    math-ph 2026-05 unverdicted novelty 7.0

    Families of complex tensor trace-invariants with tree-like dominant pairings factorize at large N, allowing computation of typical multipartite Rényi entropies for uniform random states.