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Thermal Nonlocal Advantage of Quantum Coherence in the Two-Site, Triangular, and Tetrahedral Lattices with Heisenberg Interactions

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Abstract

Quantum correlations are physical resources for quantum information processing. The nonlocal advantage of quantum coherence (NAQC) is a kind of quantum correlation which is stronger than entanglement. We report here methods for enhancing thermal NAQC in the two-site, triangular, and tetrahedral lattices. It is found that for all the considered cases, the NAQC can be noticeably enhanced by introducing the Dzyaloshinsky-Moriya (DM) interaction to two spins and tune the anisotropy of the spin-spin coupling. Besides, the critical temperature below which the thermal NAQC exists can also be noticeably enhanced by introducing the DM interaction. Hence, our results provide a way to achieve NAQC for quantum tasks based on spin lattices.

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Acknowledgments

Y.-X. Xie is supported by the National Natural Science Foundation of China (Grant No. 11675129).

Funding

Y.-X. Xie is supported by the National Natural Science Foundation of China (Grant No. 11675129).

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  1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Yu-Xia Xie & Yu-Han Zhang

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  1. Yu-Xia Xie
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Y.-X. Xie contributed the idea and wrote the manuscript, Y.-X. Xie and Y.-H. Zhang performed the calculations. All authors read and approved the final manuscript.

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Correspondence to Yu-Xia Xie.

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Xie, YX., Zhang, YH. Thermal Nonlocal Advantage of Quantum Coherence in the Two-Site, Triangular, and Tetrahedral Lattices with Heisenberg Interactions. Int J Theor Phys 60, 1813–1824 (2021). https://doi.org/10.1007/s10773-021-04800-5

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