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

中国物理B ›› 2019, Vol. 28 ›› Issue (12): 120307-120307.doi: 10.1088/1674-1056/ab53cc

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

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)

Department of Physics, Hubei University, Wuhan 430062, China

收稿日期:2019-07-11 修回日期:2019-09-29 出版日期:2019-12-05 发布日期:2019-12-05
通讯作者: Zhu Mao, Bin Zhou E-mail:maozhu@hubu.edu.cn;binzhou@hubu.edu.cn
基金资助:
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).

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

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)

Department of Physics, Hubei University, Wuhan 430062, China

Received:2019-07-11 Revised:2019-09-29 Online:2019-12-05 Published:2019-12-05
Contact: Zhu Mao, Bin Zhou E-mail:maozhu@hubu.edu.cn;binzhou@hubu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: entanglement teleportation, Ising-Heisenberg chain, transfer-matrix approach, concurrence

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.

Key words: entanglement teleportation, Ising-Heisenberg chain, transfer-matrix approach, concurrence

中图分类号: (Entanglement production and manipulation)

03.67.Bg

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 75.10.Pq (Spin chain models)

郑一丹, 毛竹, 周斌. Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer[J]. 中国物理B, 2019, 28(12): 120307-120307.

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[J]. Chin. Phys. B, 2019, 28(12): 120307-120307.

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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

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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