Generalizing entanglement via informational invariance for arbitrary statistical theories

TL;DR

This paper develops a formal framework to define and analyze nonclassical correlations, including entanglement, in arbitrary statistical theories beyond quantum mechanics, extending quantum concepts to broader models.

Contribution

It introduces a generalized approach to characterize nonclassical correlations and entanglement in diverse statistical theories, extending quantum mechanical notions.

Findings

Generalized separability measures for arbitrary models

Extended reciprocal maps for subsystem-state relations

Unified entanglement criteria applicable beyond quantum theory

Abstract

Given an arbitrary statistical theory, different from quantum mechanics, how to decide which are the nonclassical correlations? We present a formal framework which allows for a definition of nonclassical correlations in such theories, alternative to the current one. This enables one to formulate extrapolations of some important quantum mechanical features via adequate extensions of reciprocal maps relating states of a system with states of its subsystems. These extended maps permit one to generalize i) separability measures to any arbitrary statistical model as well as ii) previous entanglement criteria. The standard definition of entanglement becomes just a particular case of the ensuing, more general notion.