Bounds on mixed state entanglement

Bruno Leggio (1, 2) , Anna Napoli (3) , Hiromichi Nakazato (4) , Antonino Messina (3)

1 MOSAIC - Simulation et Analyse de la morphogenèse in siliCo
2 RDP - Reproduction et développement des plantes
3 Università degli studi di Palermo - University of Palermo
4 Waseda University [Tokyo, Japan]

In the general framework of d1× d2 mixed states, we derive an explicit bound for bipartite negative partial transpose (NPT) entanglement based on the mixedness characterization of the physical system. The derived result is very general, being based only on the assumption of finite dimensionality. In addition, it turns out to be of experimental interest since some purity-measuring protocols are known. Exploiting the bound in the particular case of thermal entanglement, a way to connect thermodynamic features to the monogamy of quantum correlations is suggested, and some recent results on the subject are given a physically clear explanation.

Mots clés: entanglement; negativity

Domaines: Physique Quantique [quant-ph]

Bruno Leggio, Anna Napoli, Hiromichi Nakazato, Antonino Messina. Bounds on mixed state entanglement. Entropy, 2020, 22 (1), pp.62. ⟨10.3390/e22010062⟩. ⟨hal-02395355⟩