… i.e. if you turn the diagrams which explain quantum protocols by 90 deg, then the graph rewrites which are used in the NTC (topology does not compute) categorical quantum mechanics transform into TC (topology computes) diagrams. (See NTC vs TC part 1 for the terminology.)
I shall come back to this with many details, for the moment I can’t do decent drawings, they will appear soon.
It is intriguing, right? Yes, because when you turn the diagrams by 90 deg, the time and space “directions” change places. Moreover, the Alice from the experiment 1 (described by what appears in categorical quantum mechanics as the process 1, a decorated graph) is united with the Alice from the experiment 2 (described by what appears as the process 2, which is equivalent by graph rewrites with the process 1). That is, if you turn the diagrams by 90 deg, the two instances of Alice (or all the instances of Alice from all the intermediary steps of the graph rewrites) form the GLC actor Alice. Same for Bob, of course.
What this equivalence means, is intriguing. Very much intriguing.