Average entropy of a quantum subsystem

被引：149

作者：

Sen, S

机构：

[1] School of Mathematics, University of Dublin, Trinity College, Dublin

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.77.1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 less than or equal to n is S-m,S-n = (Sigma(k=n+1)(mn) 1/k) - (m - 1)/2n. In this Letter a simple proof of this conjecture is given.

引用

页码：1 / 3

页数：3

共 6 条

[1]

[Anonymous], 1988, INTEGRALS SERIES

[2] PROOF OF PAGES CONJECTURE ON THE AVERAGE ENTROPY OF A SUBSYSTEM [J].