标题： 量子力学中作为决定论表达的复杂联合概率 显示英文标题

标题： Complex joint probabilities as expressions of determinism in quantum mechanics

摘要： 量子态的密度算符可以表示为任意两个可观测量的复联合概率，这两个可观测量的本征态具有非零的相互重叠。 然后，将这些变换表达为描述三个不同可观测量之间基本关系的复条件概率。 由于这些变换只是改变了量子态的表示形式，因此这些条件概率提供了不同量子测量结果之间的确定性关系的态无关定义。 本文展示了经典现实如何作为量子决定论基本定律的近似值而出现，这些定律由复条件概率表达。 确定了相空间和轨迹的量子力学起源，并考虑了对量子测量解释的影响。 有人认为，量子决定论的变换法则为经验现实的测量依赖性提供了一个基本描述。 显示英文摘要

摘要： The density operator of a quantum state can be represented as a complex joint probability of any two observables whose eigenstates have non-zero mutual overlap. Transformations to a new basis set are then expressed in terms of complex conditional probabilities that describe the fundamental relation between precise statements about the three different observables. Since such transformations merely change the representation of the quantum state, these conditional probabilities provide a state-independent definition of the deterministic relation between the outcomes of different quantum measurements. In this paper, it is shown how classical reality emerges as an approximation to the fundamental laws of quantum determinism expressed by complex conditional probabilities. The quantum mechanical origin of phase spaces and trajectories is identified and implications for the interpretation of quantum measurements are considered. It is argued that the transformation laws of quantum determinism provide a fundamental description of the measurement dependence of empirical reality.