标题： 时空中与类时和类空纠缠熵的关系 显示英文标题

标题： Relation between timelike and spacelike entanglement entropy

摘要： 本研究建立了类时纠缠熵与类空纠缠熵之间的联系。具体而言，对于多种不同的量子态，类时纠缠熵由类空纠缠熵及其一阶时间导数的线性组合唯一确定。这一框架表明，类时纠缠熵的虚部主要来源于扭曲算符与其一阶时间导数之间的非对易性。此外，我们分析了该关系的约束条件，并强调了可能的扩展以适应更复杂的量子态构型。 显示英文摘要

摘要： In this study, we establish a connection between timelike and spacelike entanglement entropy. Specifically, for a diverse range of states, the timelike entanglement entropy is uniquely determined by a linear combination of the spacelike entanglement entropy and its first-order temporal derivative. This framework reveals that the imaginary component of the timelike entanglement entropy primarily originates from the non-commutativity between the twist operator and its first-order temporal derivative. Furthermore, we analyze the constraints of this relation and highlight the possible extension to accommodate more complex state configurations.