论文标题
量子贝叶斯的规则和相关推论
A Quantum Bayes' Rule and Related Inference
论文作者
论文摘要
在这项工作中，考虑了贝叶斯推断的量子类似物。基于仪器的概念，我们提出了贝叶斯规则的量子类似物，该规则阐述了先前的正常状态在观察中的更新。此外，随着观察次数流向无穷大，我们研究了正常状态的极限。之后，我们根据量子贝叶斯的规则概括了贝叶斯推论的基本观念和结果。值得注意的是，我们的理论不仅将经典的理论保留为特殊情况，而且还具有许多新功能。
In this work a quantum analogue of Bayesian inference is considered. Based on the notion of instrument, we propose a quantum analogue of Bayes' rule, which elaborates how a prior normal state updates under observations. Besides, we investigate the limit of posterior normal state as the number of observations goes to infinity. After that, we generalize the fundamental notions and results of Bayesian inference according to quantum Bayes' rule. It is noted that our theory not only retains the classical one as a special case but possesses many new features as well.
