Constructive Simulation and Topological Design of Protocols
  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. 
Arthur Jaffe, Zhengwei Liu, and Alex Wozniakowski
quant-ph hep-th math-ph math.MP