Statistical properties of random density matrices
量子物理
2009-11-10 v2 介观与纳米尺度物理
摘要
Statistical properties of ensembles of random density matrices are investigated. We compute traces and von Neumann entropies averaged over ensembles of random density matrices distributed according to the Bures measure. The eigenvalues of the random density matrices are analyzed: we derive the eigenvalue distribution for the Bures ensemble which is shown to be broader then the quarter--circle distribution characteristic of the Hilbert--Schmidt ensemble. For measures induced by partial tracing over the environment we compute exactly the two-point eigenvalue correlation function.
引用
@article{arxiv.quant-ph/0405031,
title = {Statistical properties of random density matrices},
author = {Hans-Juergen Sommers and Karol Zyczkowski},
journal= {arXiv preprint arXiv:quant-ph/0405031},
year = {2009}
}
备注
8 revtex pages with one eps file included, ver. 2 - minor misprints corrected