In this work, we mainly study quantum steering and nonlocality of two-qubit Heisenberg [Formula: see text] spin-1/2 chain via local filtering operation. Our analytical results show that quantum steering and nonlocality can be affected by coupling constant [Formula: see text], temperature [Formula: see text], external magnetic field [Formula: see text] and anisotropy constant [Formula: see text]. Quantum steering and nonlocality would degrade with the increase of temperature [Formula: see text] and anisotropy constant [Formula: see text]. When [Formula: see text] is small, we can observe quantum steering and nonlocality increase with [Formula: see text]. When [Formula: see text] getting bigger, what we will see is that steering goes down first, then grows up. We can improve quantum steering and nonlocality via local filtering operation. We chose an appropriate parameter [Formula: see text], the steering and nonlocality can be improved when we fix three in those four parameters. There is a queer phenomenon in some situations that the range of one side for steering and nonlocality can extend greatly by losing them in another side. Therefore, our investigations might shed light on steering and nonlocality under the Heisenberg [Formula: see text] spin chain model and make a little step in the progress of quantum information.

中文翻译：

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通过 Heisenberg XY 模型中的局部滤波操作改善转向和非局部性

在这项工作中，我们主要通过局部滤波操作研究双量子比特 Heisenberg [公式：见文本] spin-1/2 链的量子转向和非定域性。我们的分析结果表明，量子转向和非定域性会受到耦合常数 [公式：见正文]、温度 [公式：见正文]、外部磁场 [公式：见正文] 和各向异性常数 [公式：见正文] 的影响。量子转向和非定域性会随着温度 [公式：见正文] 和各向异性常数 [公式：见正文] 的增加而退化。当[公式：见文]较小时，我们可以观察到[公式：见文]的量子转向和非定域性增加。当【公式：见正文】变大时，我们会看到转向先下降，后上升。我们可以通过局部滤波操作来改善量子转向和非局部性。我们选择了一个合适的参数[公式：见正文]，当我们在这四个参数中固定三个时，可以改善转向和非定域性。在某些情况下有一个奇怪的现象，即转向和非定域性的一侧的范围可以通过在另一侧失去它们而大大扩展。因此，我们的研究可能会揭示海森堡[公式：见文本]自旋链模型下的转向和非定域性，并在量子信息的进展中迈出一小步。