Characterizing multipartite entanglement without shared reference frames

TL;DR

This paper introduces a method to detect and characterize multipartite entanglement in quantum systems without shared reference frames, using correlation tensor norms to enable practical experimental verification.

Contribution

It develops a novel framework based on correlation tensor norms for detecting multipartite entanglement without shared reference frames, including bounds for separability and dimensionality.

Findings

Effective detection of multipartite entanglement without shared reference frames

Ability to reveal bi- and multipartite entanglement dimensionality

Experimental feasibility of the proposed method

Abstract

Multipartite entanglement constitutes one of the key resources in quantum information processing. We exploit correlation tensor norms to develop a framework for its experimental detection without the need for shared frames of reference. By bounding these norms for partially separable states and states of limited dimension we achieve an extensive characterization of entanglement in multipartite systems in an experimentally feasible way. Furthermore we show that both bi- and multipartite dimensionality of entanglement can be revealed by our methods.