Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer

doi:10.1088/1674-1056/ab53cc

Abstract We investigate the teleportation of an entangled state via a couple of quantum channels, which are composed of a spin-1/2 Heisenberg dimer in two infinite Ising-Heisenberg chains. The heterotrimetallic coordination polymer Cu^ⅡMn^Ⅱ(L¹)] [Fe^Ⅲ(bpb)(CN)₂]·ClO₄·H₂O (abbreviated as Fe-Mn-Cu) can be regarded as an actual material for this chain. We apply the transfer-matrix approach to obtain the density operator for the Heisenberg dimer and use the standard teleportation protocol to derive the analytical expression of the density matrix of the output state and the average fidelity of the entanglement teleportation. We study the effects of the temperature T, anisotropy coupling parameter △, Heisenberg coupling parameter J₂ and external magnetic field h on the quantum channels. The results show that anisotropy coupling △ and Heisenberg coupling J₂ can favor the generation of the output concurrence and expand the scope of the successful average fidelity.

Keywords: entanglement teleportation Ising-Heisenberg chain transfer-matrix approach concurrence

Received: 11 July 2019
Revised: 29 September 2019
Accepted manuscript online:

PACS:	03.67.Bg	(Entanglement production and manipulation)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	75.10.Pq	(Spin chain models)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

Corresponding Authors: Zhu Mao, Bin Zhou
E-mail: maozhu@hubu.edu.cn;binzhou@hubu.edu.cn

Cite this article:

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌) Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer 2019 Chin. Phys. B 28 120307

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Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer

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