Constructive Simulation and Topological Design of Protocols

TL;DR

This paper introduces a topological simulation method called the two-string model for tensor networks, leading to a novel multipartite quantum communication protocol that efficiently implements non-local transformations.

Contribution

It presents a new topological approach to protocol design and introduces topologically-compressed transformations for multipartite quantum communication.

Findings

Discovered a new multipartite quantum communication protocol

Developed the two-string topological simulation model

Achieved efficient implementation of non-local transformations

Abstract

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.