标题： 谱三元组和量子比特的康nes距离 显示英文标题

标题： Spectral triples and Connes distances of qubits

摘要： 我们构建了一量子态和两量子态的谱三元组，并研究了康尼斯谱距离。 我们还构建了对应于正常量子迹距离的狄拉克算子。 基于康尼斯谱距离，我们定义了量子态的相干性度量，并计算了一量子态的相干性。 我们还研究了一些两量子态的简单情况，相应的谱距离满足勾股定理。 这些结果对于研究量子比特和其他量子态的物理关系和几何结构具有重要意义。 显示英文摘要

摘要： We construct spectral triples of one- and two-qubit states and study the Connes spectral distances. We also construct the Dirac operator corresponding to the normal quantum trace distances. Based on the Connes spectral distances, we define a coherence measure of quantum states, and calculate the coherence of one-qubit states. We also study some simple cases about two-qubit states, and the corresponding spectral distances satisfy the Pythagoras theorem. These results are significant for the study of physical relations and geometric structures of qubits and other quantum states.