A measure of tripartite entanglement in bosonic and fermionic systems

Abstract

We describe an efficient theoretical criterion suitable for the evaluation of the tripartite entanglement of any mixed three-boson or -fermion state, based on the notion of the entanglement of particles for bipartite systems of identical particles. Our approach allows one to quantify the accessible amount of quantum correlations in the systems without any violation of the local particle number superselection rule. A generalization of the tripartite negativity is here applied to some correlated systems including the continuous-time quantum walks of identical particles (both for bosons and fermions) and compared with other criteria recently proposed in the literature. Our results show the dependence of the entanglement dynamics upon the quantum statistics: the bosonic bunching results into a low amount of quantum correlations while Fermi-Dirac statistics allows for higher values of the entanglement.

arXiv comment19 pages, 3 figures

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• Dynamics of quantum correlations in colored environments
• Time-evolution of tripartite quantum discord and entanglement under local and non-local random telegraph noise
• More nonlocality with less entanglement in a tripartite atom-optomechanical system
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• Tripartite entanglement of fermionic system in accelerated frames
• Quantum correlations of identical particles subject to classical environmental noise
• Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
• Generation of a time-bin Greenberger--Horne--Zeilinger state with an optical switch
• Probing the sign of on-site Hubbard interaction by two-particle quantum walks
• Segre maps and entanglement for multipartite systems of indistinguishable particles