Quantum categories were introduced in  as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how the monadic definition of a quantum category unpacks to a set of axioms close to the definitions of a bialgebroid in the Hopf algebraic literature. We introduce notions of functor and natural transformation for quantum categories and consider various constructions on quantum structures.
|Number of pages||37|
|Journal||Theory and Applications of Categories|
|Publication status||Published - 2011|
Bibliographical noteCopyright the Author(s) . Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
- Monoidal category
- Quantum category