论文标题
位线，纠缠蒸馏和纯化的纠缠
Bit thread, entanglement distillation, and entanglement of purification
论文作者
论文摘要
我们研究了全息图框架中的位线，纠缠蒸馏和纠缠纯化之间的关系。具体而言，我们为单发纠缠蒸馏（OSES）张量网络提供了一些螺纹解释，可以理解为从边界量子系统通过“表面增长方案”的纠缠信息重建大量时空的几何结构。此外，通过证明纯化的全息纠缠（EOP）过程可以被视为我们“表面增长方案”的特殊情况，我们自然会在我们的框架中获得全息EOP的位螺纹解释，事实证明，这与现有的解释不同。由于我们对全息EOP的解释是在更一般和物理框架中获得的，因此我们版本的优点是它更自然，并且可能更合理地反映实际的物理纠缠结构。
We investigate the relations between bit thread, entanglement distillation and entanglement of purification in the holographic framework. Specifically, we give a bit thread interpretation for the one-shot entanglement distillation (OSED) tensor network, which can be understood as reconstructing the geometric structure of the bulk spacetime from the entanglement information of the boundary quantum system through the "surface growth scheme". Moreover, by showing that the holographic entanglement of purification (EoP) process can be regarded as a special case of our "surface growth scheme", we naturally obtain the bit thread interpretation of the holographic EoP in our framework, which turns out to be different from the existing interpretations. Since our interpretation for holographic EoP is obtained in a more general and physical framework, the advantage of our version is that it is more natural, and possibly more reasonable to reflect the real physical entanglement structures.
