It has been known that quantum information offers powerful instruments to investigate the properties of many-body systems. In this framework, we touched two particular aspect of this activity, namely the quantum entanglement and discord to compare the properties of gapless Tomonaga-Luttinger Liquid (TLL) model and the effect of BCS coupling in spinless fermions of TLL as a cuprate superconducting nanowire. Using two-fermion space-spin density matrix, we investigate quantum correlation of these cases via bipartite and tripartite entanglement, as well as quantum discord. The relations of concurrence (as a measure of quantum entanglement), the lower bound of the generalized robustness of tripartite entanglement and quantum discord in terms of the relative distance between fermions and the coupling parameter were accordingly obtained. The relationship between the compressibility as a physical property of system and quantum correlations has also been studied.

众所周知，量子信息为研究多体系统的特性提供了强大的工具。在这个框架中，我们触及了这项活动的两个特定方面，即量子纠缠和不和谐，以比较无间隙 Tomonaga-Luttinger Liquid (TLL) 模型的特性和 BCS 耦合在作为铜酸盐超导纳米线的 TLL 的无自旋费米子中的影响。使用二费米子空间自旋密度矩阵，我们通过二分和三分纠缠以及量子不和谐研究这些情况的量子相关性。相应地获得了并发关系（作为量子纠缠的度量）、三方纠缠的广义鲁棒性下界和量子不和谐在费米子之间的相对距离和耦合参数方面的关系。