Figure 3: A visual representation of the distributions of the states communicated from Alice to Bob using SDT.

The states that were measured can be represented as lying on a three-dimensional hyper-torus (one dimension for each state parameter) embedded in a six-dimensional Euclidean space for general ququart states. The average fidelity of all teleported states was 87.0(1)%. ‘Front’ in the legend refers to point locations on the side towards the viewer in this perspective, while ‘back’ refers to those obscured by the front surface. The φ1 parameter can be read from the fill-colour of the circle surrounding the point locator on the surface of the torus parameterized by φ2 and φ3.