论文标题
有条件的纠缠概率框架及其与张量产品结构的解耦
Conditional probability framework for entanglement and its decoupling from tensor product structure
论文作者
论文摘要
我们的目的是通过在条件概率框架中表示纠缠(物理和数学)概念(物理和数学)概念迈出一步。用Schrödinger的话来说,这是可以通过有条件测量提取的知识的纠缠。特别是,量子概率被解释为有条件的概率(例如,billentine)。我们将考虑因素限制为测量引起的完美条件相关性(PCC)(“ EPR纠缠”)。这种纠缠与可观察到的成对相结合,投影类型状态更新是测量的背部动作。这样,我们确定了一类特殊的纠缠状态。我们的目的之一是将复合系统的纠缠概念解除。纠缠与一些身体系统状态的刚性关联刺激了其与量子非局部性的联系(“距离怪异的作用”)。但是,Schrödinger纠缠已经作为知识的打结(关于统计数据),其中一个可观察到的A具有有关另一个可观察的B的知识。
Our aim is to make a step towards clarification of foundations for the notion of entanglement (both physical and mathematical) by representing it in the conditional probability framework. In Schrödinger's words, this is entanglement of knowledge which can be extracted via conditional measurements. In particular, quantum probabilities are interpreted as conditional ones (as, e.g., by Ballentine). We restrict considerations to perfect conditional correlations (PCC) induced by measurements ("EPR entanglement"). Such entanglement is coupled to the pairs of observables with the projection type state update as the back action of measurement. In this way, we determine a special class of entangled states. One of our aims is to decouple the notion of entanglement from the compound systems. The rigid association of entanglement with the state of a few body systems stimulated its linking with quantum nonlocality ("spooky action at a distance"). However, already by Schrödinger entanglement was presented as knotting of knowledge (about statistics) for one observable A with knowledge about another observable B.