Recently, Ming et al (Quantum Inf Process 17 267, 2018) have investigated the entropic uncertainty relation in the presence of quantum memory (EUR-QM) and quantum coherence in a thermal regime for a two-spin chain under the effect of Dzyaloshinskii–Moriya (DM) interaction. Here, we study thermal quantum coherence and EUR-QM for a three-spin chain in Ising model under the effect of different directions of DM interaction. Our results confirm the results for the two-qubit case. Increasing temperature can reduce the quantum coherence but oppositely the uncertainty will grow. We show that the coupling parameter and DM interaction have constructive effects on quantum coherence and they reduce uncertainty in measurement results of incompatible observables, and especially the y-direction of DM interaction has a better influence on decreasing the uncertainty than the x and z directions. Unfortunately, the effect of the third spin acts destructively on the uncertainty and its bound, as well as the quantum coherence between the first two spins. Notably, an explicit relationship between quantum coherence and the uncertainty lower bound is found.

最近，Ming等人(Quantum Inf Process 17 267, 2018) 研究了在 Dzyaloshinskii 作用下双自旋链热状态中存在量子存储器 (EUR-QM) 和量子相干性时的熵不确定性关系– Moriya (DM) 互动。在这里，我们研究了不同方向 DM 相互作用作用下 Ising 模型中三自旋链的热量子相干性和 EUR-QM。我们的结果证实了双量子比特情况的结果。升高温度会降低量子相干性，但相反，不确定性会增加。我们表明耦合参数和 DM 相互作用对量子相干性具有建设性影响，它们降低了不相容可观测量结果的不确定性，尤其是yDM 相互作用的方向比x和z方向对降低不确定性有更好的影响。不幸的是，第三次自旋的影响对不确定性及其界限以及前两个自旋之间的量子相干性产生破坏性作用。值得注意的是，发现了量子相干性和不确定性下界之间的明确关系。