Examining the dimensionality of genuine multipartite entanglement

TL;DR

This paper introduces a theoretical framework and practical criteria to categorize and detect the number of entangled degrees of freedom in high-dimensional multipartite quantum states, aiding foundational and applied quantum research.

Contribution

It presents a novel theoretical concept and experimentally friendly criteria for analyzing the entanglement dimensionality in multipartite qudit systems.

Findings

Derived criteria for multipartite qudit systems

Enabled categorization of entanglement by degrees of freedom

Facilitated experimental detection of entanglement dimensionality

Abstract

Entanglement in high-dimensional many-body systems plays an increasingly vital role in the foundations and applications of quantum physics. In the present paper, we introduce a theoretical concept which allows to categorize multipartite states by the number of degrees of freedom being entangled. In this regard, we derive computable and experimentally friendly criteria for arbitrary multipartite qudit systems that enable to examine in how many degrees of freedom a mixed state is genuine multipartite entangled.