We describe an efficient theoretical criterion suitable for the evaluation of the tripartite entanglement of any mixed three-boson or three-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 number 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 (for both 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 in a low number of quantum correlations while Fermi-Dirac statistics allows for higher values of the entanglement.

Measure of tripartite entanglement in bosonic and fermionic systems / F., Buscemi; Bordone, Paolo. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - STAMPA. - 84:(2011), pp. 022303-1-022303-8. [10.1103/PhysRevA.84.022303]

Measure of tripartite entanglement in bosonic and fermionic systems

BORDONE, Paolo
2011

Abstract

We describe an efficient theoretical criterion suitable for the evaluation of the tripartite entanglement of any mixed three-boson or three-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 number 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 (for both 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 in a low number of quantum correlations while Fermi-Dirac statistics allows for higher values of the entanglement.
2011
84
022303-1
022303-8
Measure of tripartite entanglement in bosonic and fermionic systems / F., Buscemi; Bordone, Paolo. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - STAMPA. - 84:(2011), pp. 022303-1-022303-8. [10.1103/PhysRevA.84.022303]
F., Buscemi; Bordone, Paolo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/661636
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