关于菱形范数与核范数之间范数不等式饱和的注记
信息论
2018-10-23 v3 math.IT
量子物理
摘要
菱形范数在量子信息和算子理论中起着重要作用。最近，它还被提出作为低秩矩阵恢复的正则化项。用核范数（也称为迹范数）界定菱形范数的范数常数是明确已知的。本注记提供了饱和上界和下界的所有算子的简单刻画。
引用
@article{arxiv.1612.07931,
title = {Note on the saturation of the norm inequalities between diamond and nuclear norm},
author = {Ulrich Michel and Martin Kliesch and Richard Kueng and David Gross},
journal= {arXiv preprint arXiv:1612.07931},
year = {2018}
}
备注
Simplified proof of the main theorem in [arXiv:1511.01513] and a converse statement. 3+1 pages. V2: small changes and incomplete funding information corrected. V3: minor polishing, published version