Why devil plays dice?

Why we should interpret density matrices as moment matrices: the case of (in)distinguishable particles and the emergence of classical reality

We introduce a formulation of quantum theory (QT) as a general probabilistic theory but expressed via quasi-expectation operators (QEOs). This formulation provides a direct interpretation of density matrices as quasi-moment matrices. Using QEOs, we will provide a series of representation theorems, a' la de Finetti, relating a classical probability mass function (satisfying certain symmetries) to a quasi-expectation operator. We will show that QT for both distinguishable and indistinguishable particles can be formulated in this way. Although particles indistinguishability is considered a truly …

为什么量子关联令人震惊

Why quantum correlations are shocking

本文提出一个基于无信号传输和联合分布不变性两个基本假设的极简论证，解释量子关联违背贝尔不等式的原因，并指出该违背仅有超距作用、阴谋论和互补性三种可能的物理机制。

Why Probability appears in Quantum Mechanics

Early in the development of quantum theory Bohr introduced what came to be called the Copenhagen interpretation. Specifically, the square of the absolute value of the wave function was to be used as a probability density. There followed lengthy arguments about this ranging from alternative universes to Schrödinger's cat. Einstein famously remarked "I am convinced that He (God) does not play dice." The purpose of this paper is to present a mathematical model of the measuring process that shows that the Copenhagen interpretation can actually follow from the fact that the time development of quan…