Quantum coherences of indistinguishable particles

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.

References in corpus (15)

• Entanglement detection
• Measuring Quantum Coherence with Entanglement
• Frozen Quantum Coherence
• Quantifying Entanglement with Witness Operators
• The structure of multidimensional entanglement in multipartite systems
• Full multipartite entanglement of frequency comb Gaussian states
• Necessary and sufficient conditions for bipartite entanglement
• Entanglement of Identical Particles
• Useful entanglement from the Pauli principle
• Computable Measures for the Entanglement of Indistinguishable Particles
• Structural Quantification of Entanglement
• Entanglement Witnesses for Indistinguishable Particles
• Witnessing the degree of nonclassicality of light
• Observing quantum non-locality in the entanglement between modes of massive particles
• Detecting mode entanglement: The role of coherent states, superselection rules and particle statistics

Cited by in corpus (2)

• Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
• Two-particle four-point correlations in dynamically disordered tight-binding networks