I have described in an
earlier post my work with Rosebrugh and
Sabadini on tangled circuits. A tangled circuit is an arrow on the free
braided monoidal category on a monoidal graph where each object (wire)
of the monoidal graph is equipped with a commutative frobenius algebra structure.
In that paper we discussed as examples circuits of the form RBS where R and S
are two arrows of the monoidal graph, R with domain I and S with codomain I (the unit
of the tensor), and where B is a braid, that is a composite of twists tensored with identities.
We call such a circuit a
blocked braid on n strings.
Read more »