量子信息几何中 Chentsov 度量的唯一性
数学物理
2007-05-23 v2 微分几何
math.MP
摘要
我们证明，在有限维情况下，唯一的单调度量中其 (+1) 和 (-1) 仿射联络互为对偶的，是 Bogoliubov-Kubo-Mori 度量的常数倍。
引用
@article{arxiv.math-ph/0006030,
title = {On the Uniqueness of the Chentsov Metric in Quantum Information Geometry},
author = {M. R. Grasselli and R. F. Streater},
journal= {arXiv preprint arXiv:math-ph/0006030},
year = {2007}
}
备注
Published version, includes comparison with related uniquines results and the explicit extension of monotone metrics from density operators to denormalized faithful. weights