Structure of the algebra generated by a noncommutative operator graph which demonstrates the superactivation phenomenon for zero-error capacity.

The article explores the superactivation of the capacity of quantum channels generated by a noncommutative operator graph. The close relation of the value of the quantum capacity to the so-called operator graph of the quantum channel is tackled. The algebra generated by the noncommutative operator graph is also outlined to construct low-dimensional examples of superactivation for quantum capacity.