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Bounds on Mixed State Entanglement

Laboratoire Reproduction et Développement des Plantes, Université de Lyon, ENS de Lyon, UCB Lyon 1, CNRS, INRA, Inria, 69342 Lyon, France
Dipartimento di Fisica e Chimica-Emilio Segrè, Università degli Studi di Palermo, Via Archirafi 36, I-90123 Palermo, Italy
I.N.F.N. Sezione di Catania, Via Santa Sofia 64, I-95123 Catania, Italy
Department of Physics, Waseda University, Tokyo 169-8555, Japan
Dipartimento di Matematica ed Informatica, Università degli Studi di Palermo, Via Archirafi, 34, I-90123 Palermo, Italy
Author to whom correspondence should be addressed.
Entropy 2020, 22(1), 62;
Received: 28 November 2019 / Revised: 19 December 2019 / Accepted: 30 December 2019 / Published: 1 January 2020
(This article belongs to the Section Quantum Information)
In the general framework of d 1 × d 2 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. View Full-Text
Keywords: entanglement; negativity entanglement; negativity
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MDPI and ACS Style

Leggio, B.; Napoli, A.; Nakazato, H.; Messina, A. Bounds on Mixed State Entanglement. Entropy 2020, 22, 62.

AMA Style

Leggio B, Napoli A, Nakazato H, Messina A. Bounds on Mixed State Entanglement. Entropy. 2020; 22(1):62.

Chicago/Turabian Style

Leggio, Bruno; Napoli, Anna; Nakazato, Hiromichi; Messina, Antonino. 2020. "Bounds on Mixed State Entanglement" Entropy 22, no. 1: 62.

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