多元与条件概率统计分布的变值测量

概率统计模型是量子统计的基础。在几率处理的量子统计模式中通常假设具有极大数目的量子运动能满足随机过程大数定理的条件,其概率分布能利用经典多元正态分布从连续概率统计出发进行逼近。从量子交互作用测量出发,对Einstein受激发射、Clauser-Horne-Shimony-Holt(CHSH)、Aspect等测量参数形成四元组。利用多变量逻辑函数和变值原理,在N元0-1输入/输出序对上形成变值测量四元组,建立变值双路模拟模型。该模型根据多元/条件概率、同步/异步、对称/反对称等不同条件得到对应概率统计分布,形成4组16个统计直方图。根据穷举模拟计算结果,展现变值概率统计在复杂交互作用条件下能否满足连续的概率统计分布。给出了两类仿真实验计算统计分布测量结果。模拟测量结果表明,多元概率统计与正态分布关联,而条件概率统计则与量子干涉统计分布关联。

Multiple and Conditional Probabilities and Their Statistical Distributions for Variant Measures

Under two distinct probability models,i.e.,multiple and conditional probabilities,statistical distributions are investigated.Using measurement model and statistical approaches to simulate quantum interaction on binary level systems,multiple interactive conditions are simulated via double-path interference model.From quantum interaction,Einstein,Clauser-Horne-Shimony-Holt(CHSH) and Aspect measuring quaternion is investigated.Using multiple variable logic functions and variant principle,N bit vectors of 0-1 input/output pairs form variant quaternion to establish variant double-path simulation model.Using both multiple and conditional probabilities and symmetry/anti-symmetry and synchronous/asynchronous conditions,the simulation system generates 4 groups of 16 histograms to express the statistical distributions in relevant conditions.Simulation results show that multiple probability is associated with normal distribution,while conditional probability is related to quantum interference distribution.