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密度矩阵的贝叶斯概率演算

A Bayesian Probability Calculus for Density Matrices
课程网址: http://videolectures.net/mlss06tw_warmuth_bpcdm/  
主讲教师: Manfred K. Warmuth
开课单位: 加州大学圣克鲁兹分校
开课时间: 2007-02-25
课程语种: 英语
中文简介:
量子物理学的一个主要概念是密度矩阵,它是一个对称的正定矩阵。 当密度矩阵被限制为对角线时,有限概率分布可被视为一种特殊情况。 我们基于这些更一般的分布开发概率演算,其包括关节条件的定义和与其相关的公式,包括总概率定理的类似物和用于计算后密度矩阵的各种贝叶斯规则。 由此产生的微积分与熟悉的“常规概率微积分”相似,并且当所有矩阵都是对角线时,总是将后者保留为特殊情况。
课程简介: One of the main concepts in quantum physics is a density matrix, which is a symmetric positive definite matrix of trace one. Finite probability distributions can be seen as a special case when the density matrix is restricted to be diagonal. We develop a probability calculus based on these more general distributions that includes definitions of joints conditionals and formulas that relate these, including analogs of the Theorem of Total Probability and various Bayes rules for the calculation of posterior density matrices. The resulting calculus parallels the familiar ``conventional probability calculus and always retains the latter as a special case when all matrices are diagonal.
关 键 词: 密度矩阵; 有限概率分布; 常规概率微积分
课程来源: 视频讲座网
最后编审: 2019-07-16:cjy
阅读次数: 69