酉矩阵上的度量及其在量化酉矩阵间非对易程度中的应用
量子物理
2011-07-07 v2 数学物理
math.MP
摘要
通过研究执行酉变换所需的最小资源，我们发现了与作者最近报道的量子速度极限密切相关的酉矩阵上的度量族和伪度量族。有趣的是，这个度量族可以自然地转化为两个酉矩阵之间非对易程度的有用指标。
引用
@article{arxiv.1006.3614,
title = {Metrics On Unitary Matrices And Their Application To Quantifying The Degree Of Non-Commutativity Between Unitary Matrices},
author = {H. F. Chau},
journal= {arXiv preprint arXiv:1006.3614},
year = {2011}
}
备注
13 pages in RevTex 4.1, 2 figures, to appear in QIC. This replacement concentrates only on the more physics and quantum information aspects of the results reported in the original manuscript with a more detailed proof. The mathematical results involving the discovery of several matrix inequalities reported in the original version will be strengthened and rewritten in a separate posting