Detecting genuine multipartite entanglement in three-qubit systems with eternal non-Markovianity

TL;DR

This paper introduces a new method leveraging eternal non-Markovianity to detect genuine multipartite entanglement in three-qubit systems, providing a theoretical framework and an experimental witness operator.

Contribution

It presents a novel protocol using non-Markovian quantum operations and a witness operator for detecting genuine multipartite entanglement, linking entanglement theory with non-Markovian dynamics.

Findings

Developed a non-complete positive map for entanglement detection

Proposed an experimentally feasible witness operator

Linked entanglement detection with non-Markovianity

Abstract

We devise a novel protocol to detect genuinely multipartite entangled states by harnessing quantum non-Markovian operations. We utilize a particular type of non-Markovianity known as the eternal non-Markovianity to construct a non-complete positive map to filter out the bi-separable states and detect genuine multipartite entanglement. We further propose a witness operator to detect genuinely multipartite entangled states experimentally based on this theory. Our study sheds light on a hitherto unexplored connection between entanglement theory and quantum non-Markovianity.