基于量子力学赌博表述的任意维 Gleason 型定理
量子物理
2017-05-29 v3 概率论
摘要
基于量子力学的赌博表述，我们推导了一个适用于量子系统任意维数 （特别是 ）的 Gleason 型定理。该定理指出，唯一逻辑一致的概率赋值恰好是可定义为投影算符与密度矩阵算符乘积之迹的那些赋值。此外，我们详细说明了为何无色散概率实际上不是量子力学中有效的或理性的概率，因此应被排除在考虑之外。
关键词
引用
@article{arxiv.1606.03615,
title = {A Gleason-type theorem for any dimension based on a gambling formulation of Quantum Mechanics},
author = {Alessio Benavoli and Alessandro Facchini and Marco Zaffalon},
journal= {arXiv preprint arXiv:1606.03615},
year = {2017}
}
备注
arXiv admin note: substantial text overlap with arXiv:1605.08177. The overlapping is due to the fact that the present paper uses definitions introduced in arXiv:1605.08177