Explore the full potential of the coherent teleportation approach

Investigate the full potential of the coherent teleportation approach and its possible variations for applications beyond the complete characterization of multipartite causal separability.

Background

The paper introduces a coherent teleportation technique to prove that the sufficient decomposition condition for multipartite causal separability is also necessary. In the technique, flag systems distributed to the parties encode the party receiving a teleported system in each branch. The authors note that this information might be encoded more economically: only the first party would need to know the receiver's identity, while every other party would need only to know whether it is the receiver. They explicitly leave exploration of the broader capabilities of the technique unresolved.