The non-local advantage of quantum coherence (NAQC) is regarded as a quantum correlation, which can be reflected by the violation of a set of inequalities based on various coherence measures. In this work, we explore the NAQC and Bell nonlocality (BN) in a two-qubit Heisenberg XYZ model. The results show that one can capture the BN in the case of both anti-ferromagnetism and ferromagnetism. By contrast, the NAQC cannot be achieved in the ferromagnetism case if the magnetic field is strong. Increases of inhomogeneity and temperature give rise to reductions of the NAQC and BN, and the achievement of the NAQC at high inhomogeneity or temperatures becomes very difficult. Also, the NAQC and BN strengthen with an increase of the mean coupling coefficient. A strong mean coupling coefficient leads to the freezing of the NAQC and BN when the inhomogeneity is low. The enhancement of the magnetic field can result in the fact that the NAQC and BN experience four processes, including ...

中文翻译：

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探索海森堡XYZ链中量子相干和Bell非局部性的非局部性优势

量子相干性（NAQC）的非局部优势被视为量子相关性，这可以通过违反基于各种相干性度量的一组不等式来反映。在这项工作中，我们探索了两比特Heisenberg XYZ模型中的NAQC和Bell非局部性（BN）。结果表明，在反铁磁性和铁磁性的情况下，都能捕获BN。相反，如果磁场强，则在铁磁性情况下无法实现NAQC。不均匀性和温度的增加导致NAQC和BN的减少，并且在高不均匀性或温度下实现NAQC变得非常困难。而且，NAQC和BN随着平均耦合系数的增加而增强。当不均匀性低时，较强的平均耦合系数会导致NAQC和BN冻结。磁场的增强会导致NAQC和BN经历四个过程，包括...