Quantum tensor product structures are observable induced

Phys Rev Lett. 2004 Feb 13;92(6):060402. doi: 10.1103/PhysRevLett.92.060402. Epub 2004 Feb 10.

Abstract

It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multipartite tensor product structure of the state space and the associated notion of quantum entanglement are then relative and observable induced. We develop a general algebraic framework aimed to formalize this concept.