Bit thread, entanglement distillation, and entanglement of purification

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.

Automated summary

Researchers investigate the relations between bit thread, entanglement distillation, and entanglement of purification in the holographic framework. They propose a new interpretation for one-shot entanglement distillation and holographic entanglement of purification processes, suggesting that this interpretation may more accurately reflect the real physical entanglement structures.