Conditional probability framework for entanglement and its decoupling from tensor product structure

Abstract Our aim is to make a step toward clarification of foundations for the notion entanglement (both physical and mathematical) by representing it in conditional probability framework. In Schrödinger’s words, this knowledge which can be extracted via measurements. particular, quantum probabilities are interpreted as ones (as, e.g., Ballentine). We restrict considerations perfect correlations (PCC) induced measurements (‘EPR entanglement’). Such coupled pairs observables with projection type state update back action measurement. way, we determine special class entangled states. One our aims decouple from compound systems. The rigid association few body systems stimulated its linking nonlocality (‘spooky at distance’). However, already Schrödinger was presented knotting (about statistics) one observable A about another B .