PROOF OF PAGES CONJECTURE ON THE AVERAGE ENTROPY OF A SUBSYSTEM

被引：140

作者：

FOONG, SK

KANNO, S

机构：

[1] Department of Physics, Ibaraki University

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.72.1148

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Page conjectured very recently [Phys. Rev, Lett. 71, 1291 (1993)] that if a quantum system of Hilbert space dimension mn is in a random pure state, the average entropy of a subsystem of dimension m less than or equal to n is given by Sm,n = Sigma(k=n1)(mn)1/k-m-1/2n. We outline a proof of this elegant formula.

引用

页码：1148 / 1151

页数：4