Quantum entanglement in trimer clusters

E. B. Fel'dman; E. I. Kuznetsova

doi:10.1117/12.2520034

15 March 2019 Quantum entanglement in trimer clusters

E. B. Fel'dman, E. I. Kuznetsova

Proceedings Volume 11022, International Conference on Micro- and Nano-Electronics 2018; 110222F (2019) https://doi.org/10.1117/12.2520034
Event: The International Conference on Micro- and Nano-Electronics 2018, 2018, Zvenigorod, Russian Federation

Abstract

Quantum entanglement is a measure of quantum correlations which are responsible for effective work of quantum devices (in particular, quantum computers), significantly outperforming their classical counterparts.¹ Here, we investigate quantum entanglement in the trimer clusters consisting of three electron spins sited in vertexes of an isosceles triangle. We consider entanglement of two subsystems of the system. The first subsystem consists of spins sited on the triangle baseline and the second subsystem consists of a spin equidistant from others. We generalized the Bleany-Bowers equation^{2, 3} for trimer clusters. It is shown that entanglement can emerge only in the case of the antiferromagnetic interaction of the subsystems. An equation for the temperature of the entanglement emergence is derived. The criterion of the double negativity⁴ is used in order to find the dependence of the entanglement on the temperature.

Citation Download Citation

E. B. Fel'dman and E. I. Kuznetsova "Quantum entanglement in trimer clusters", Proc. SPIE 11022, International Conference on Micro- and Nano-Electronics 2018, 110222F (15 March 2019); https://doi.org/10.1117/12.2520034

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