We give a topological simulation for tensor networks that we call the two-string model. In this approach we give a new way to design protocols, and we discover a new multipartite quantum communication protocol. We introduce the notion of topologically-compressed transformations. Our new protocol can implement multiple, non-local compressed transformations among multi-parties using one multipartite resource state.
@article{arxiv.1611.06447,
title = {Constructive Simulation and Topological Design of Protocols},
author = {Arthur Jaffe and Zhengwei Liu and Alex Wozniakowski},
journal= {arXiv preprint arXiv:1611.06447},
year = {2017}
}