富田-竹崎模理论对比量子信息理论
数学物理
2016-07-15 v2 math.MP
算子代数
量子物理
摘要
本文试图探究冯·诺依曼代数理论中的分离向量与循环向量和量子信息理论中的纠缠态之间的关系，并给出相应的物理解释。
引用
@article{arxiv.1301.1836,
title = {Tomita-Takesaki Modular Theory vs. Quantum Information Theory},
author = {Lin Zhang and Junde Wu},
journal= {arXiv preprint arXiv:1301.1836},
year = {2016}
}
备注
v1: 29 pages, LaTeX, this review article is not completed and to be continued. The first goal of writing this topic is just to understand the notion of cyclic and separating vector in von Neumann algebra. The second goal is to apply Tomita-Takesaki modular theory in Quantum Information Theory. All comments are welcome!. v2: 41 pages, LaTeX, no figure. Expansion of previous version. arXiv admin note: text overlap with arXiv:0802.1234, arXiv:0906.3980 by other authors