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Dense Coding in a Three-Qubit Heisenberg XXZ Spin Chain with Three-Site Interactions

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Abstract

This paper investigates the quantum dense coding of a three-qubit XXZ Heisenberg spin chain at thermal equilibrium, with three-site interactions in the presence of an external magnetic field. We analyze the effects of various system parameters on the dense coding in multiple cases with different types of three-site interactions. The results show that the most ideal case for dense coding is the model including both types of three-site interactions, with the imposed condition of XZX + YZY type of three-site interaction is larger than the XZY − YZX type of three-site interaction. The inclusion of the z direction coupling parameter JZ, and external magnetic parameter B are found to be effective for optimizing the dense coding capacity, while the temperature T is turned out to be destructive. Moreover, the ferromagnet (FM) is shown to be more ideal for quantum dense coding than the antiferromagnet (AFM). For FM, by comparing the two types of three-site interactions (XZY − YZX and XZX + YZY), the appropriate model for valid dense coding is suggested and their dominant regions are clarified.

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Funding

This study was funded by the Project for Outstanding Young Investigators in Xinjiang Uygur Autonomous Region (No. 2013911019), the National High-Level Talented Candidate Special Support Plan—Scientific Innovation Leader Program, and the Autonomous Region Tianshan Talent Project—Secondary Level Candidate Training Program, and the National Natural Science Fund of China (NSFC, Grant No. 11864042).

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  1. Institute of Physics and Electronic Engineering, Xinjiang Normal University, Xinyilu Road 102, Urumqi, 830054, China

    Mairikena Aili & Aihemaiti Abulizi

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  1. Mairikena Aili
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  2. Aihemaiti Abulizi
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Correspondence to Aihemaiti Abulizi.

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Aili, M., Abulizi, A. Dense Coding in a Three-Qubit Heisenberg XXZ Spin Chain with Three-Site Interactions. Int J Theor Phys 58, 364–371 (2019). https://doi.org/10.1007/s10773-018-3937-6

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  • DOI: https://doi.org/10.1007/s10773-018-3937-6

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