Quantum coherences of indistinguishable particles

TL;DR

This paper explores quantum coherence and correlations in systems of distinguishable and indistinguishable particles, analyzing how exchange symmetry affects quantum properties and their relation to entanglement.

Contribution

It introduces extended definitions of quantum coherence for many-particle systems and examines their relation to entanglement, supported by examples involving qudits.

Findings

Exchange symmetry influences quantum coherence in many-particle systems.

Different forms of quantum correlations are characterized in bipartite and multipartite states.

Local and global superpositions impact quantum correlations distinctly.

Abstract

We study different notions of quantum correlations in multipartite systems of distinguishable and indistinguishable particles. Based on the definition of quantum coherence for a single particle, we consider two possible extensions of this concept to the many-particle scenario and determine the influence of the exchange symmetry. Moreover, we characterize the relation of multiparticle coherence to the entanglement of the compound quantum system. To support our general treatment with examples, we consider the quantum correlations of a collection of qudits. The impact of local and global quantum superpositions on the different forms of quantum correlations is discussed. For differently correlated states in the bipartite and multipartite scenarios, we provide a comprehensive characterization of the various forms and origins of quantum correlations.