Factor Graphs for Quantum Probabilities
Factor Graphs for Quantum Probabilities
复制标题
DOI：
10.1109/tit.2017.2716422
复制
发表时间：
2017-09-01
影响因子：
2.5
通讯作者：
Vontobel, Pascal O.
中科院分区：
文献类型：
--
作者：
Loeliger, Hans-Andrea;Vontobel, Pascal O.
量子力学概率（涉及任何数量的测量）的因子图表示提出。与标准统计模型不同，所提出的表示使用非随机变量的辅助变量（状态变量）。所有的联合概率分布都是某个复值函数q的边值，并且证明了量子力学的基本概念如何与q的因子分解和边值有关。
A factor-graph representation of quantum-mechanical probabilities (involving any number of measurements) is proposed. Unlike standard statistical models, the proposed representation uses auxiliary variables (state variables) that are not random variables. All joint probability distributions are marginals of some complex-valued function q, and it is demonstrated how the basic concepts of quantum mechanics relate to factorizations and marginals of q.