量子信息的数学基础：测量与基础
量子物理
2014-12-19 v2
摘要
本文旨在综述过去三十年间主要由作者及其合作者发展的量子信息数学基础的一些主题。这些主题包括基于完全正映射值测度的量子测量理论的公理化构造、适用于量子测量中误差与扰动的具有普适有效性的不确定性原理新表述、量子测量的 Wigner-Araki-Yanase 极限、基于守恒律的量子计算精度极限，以及基于量子集合论的量子诠释。
引用
@article{arxiv.1201.5334,
title = {Mathematical foundations of quantum information: Measurement and foundations},
author = {Masanao Ozawa},
journal= {arXiv preprint arXiv:1201.5334},
year = {2014}
}
备注
30 pages, Latex. To appear in the December 2014 issue of "Sugaku Expositions," American Mathematical Society. Originally published in Japanese as: Masanao Ozawa, Mathematical Foundations of Quantum Information (in Japanese), Sugaku 61 (2), 113--132 (2009); doi:10.11429/sugaku.0612113. Based on a Plenary Address at the 2008 Mathematical Society of Japan Autumn Meeting, Tokyo, September 25, 2008