Entanglement Zoo I: Foundational and Structural Aspects

TL;DR

This paper introduces a new entanglement classification scheme compatible with standard quantum theory, enabling detailed modeling of complex entangled systems and their violation of Bell's inequalities.

Contribution

It presents a novel entanglement scheme for classifying and modeling complex quantum systems, expanding beyond traditional approaches.

Findings

Developed a new entanglement classification scheme.

Demonstrated quantum modeling of complex entangled states.

Analyzed the role of Tsirelson's bound and marginal laws.

Abstract

We put forward a general classification for a structural description of the entanglement present in compound entities experimentally violating Bell's inequalities, making use of a new entanglement scheme that we developed recently. Our scheme, although different from the traditional one, is completely compatible with standard quantum theory, and enables quantum modeling in complex Hilbert space for different types of situations. Namely, situations where entangled states and product measurements appear ('customary quantum modeling'), and situations where states and measurements and evolutions between measurements are entangled ('nonlocal box modeling', 'nonlocal non-marginal box modeling'). The role played by Tsirelson's bound and marginal distribution law is emphasized. Specific quantum models are worked out in detail in complex Hilbert space within this new entanglement scheme.