We investigate the nonlocal advantage of quantum coherence (NAQC) for two qubits coupled via the Heisenberg interaction and embedded in their respective thermal and dephasing reservoirs. Unlike the case of two uncoupled qubits, we showed that in the presence of the Heisenberg interaction, the decay rate of the NAQC can be reduced and the strength of the NAQC can be enhanced for certain initial states. Moreover, the Heisenberg interaction of two spins can induce generation of NAQC from the initial product states, and the generated NAQC approaches asymptotically to its maximum with the increasing anisotropy of the Heisenberg interaction.

中文翻译：

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热和移相库中耦合量子位的量子相干性的非局域优势

我们研究了通过海森堡相互作用耦合并嵌入它们各自的热和相移储层中的两个量子位的量子相干性 (NAQC) 的非局域优势。与两个非耦合量子位的情况不同，我们表明在存在海森堡相互作用的情况下，可以降低 NAQC 的衰减率，并且可以增强某些初始状态下 NAQC 的强度。此外，两个自旋的海森堡相互作用可以诱导从初始产物状态产生 NAQC，并且随着海森堡相互作用的各向异性增加，产生的 NAQC 逐渐接近其最大值。