  We present a 3D, topological picture-language for quantum information. Our
approach combines charged excitations carried by strings, with topological
properties that arise from embedding the strings in the interior of a
three-dimensional manifold with boundary. A quon is a composite that acts as a
particle. Specifically a quon is a hemisphere containing a neutral pair of open
strings with opposite charge. We interpret multi-quons and their
transformations in a natural way. We obtain a new type of relation, a
string-genus "joint relation," involving both a string and the 3D manifold. We
use the joint relation to obtain a topological interpretation of the $C^{*}$
Hopf algebra relations, that are widely used in tensor networks. We obtain a 3D
representation of the Controlled NOT or CNOT gate (that is considerably simpler
than earlier work) and a 3D topological protocol for teleportation.
