Characterization of Entanglement via Non‐Existence of a Subquantum Random Field

Abstract

Any pure state of a compound system with the state space determines a kind of covariance operator acting in the Cartesian product . If this operator is positively defined, then it determines a random field valued in . In this case compound quantum system can be treated as a classical random field system whose configuration space is not tensor, but Cartesian product space. It happens that and a subquantum process exists if and only if quantum state is not entangled. The technical framework used in this note is already presented by von Neumann.