Genuine quantum correlations in quantum many-body systems: a review of recent progress

TL;DR

This review summarizes recent advances in understanding various quantum correlations in many-body systems, including entanglement, nonlocality, and quantum discord, highlighting their roles and potential applications in quantum technologies.

Contribution

It provides a comprehensive overview of recent developments in quantum correlations beyond bipartite entanglement in many-body systems, including multipartite correlations and quantum coherence measures.

Findings

Recent progress in multipartite entanglement and quantum nonlocality.

Exploration of quantum discord and other non-classical correlations.

Applications of quantum metrology in many-body systems.

Abstract

Quantum information theory has considerably helped in the understanding of quantum many-body systems. The role of quantum correlations and in particular, bipartite entanglement, has become crucial to characterise, classify and simulate quantum many body systems. Furthermore, the scaling of entanglement has inspired modifications to numerical techniques for the simulation of many-body systems leading to the, now established, area of tensor networks. However, the notions and methods brought by quantum information do not end with bipartite entanglement. There are other forms of correlations embedded in the ground, excited and thermal states of quantum many-body systems that also need to be explored and might be utilised as potential resources for quantum technologies. The aim of this work is to review the most recent developments regarding correlations in quantum many-body systems focussing on multipartite entanglement, quantum nonlocality, quantum discord, mutual information but also other non classical measures of correlations based on quantum coherence. Moreover, we also discuss applications of quantum metrology in quantum many-body systems.