I am learning monoidal category applied in quantum information and quantum field theory, and several references say that monoidal category is somehow related to linguistics via Hopf algebra of quantum groups. Can someone illustrate more on this connection? 

Also, is there other applications of category theory (either abstract or concrete) in linguistics besides monoidal category? In my [another question][1], [lementree][2] mentioned abstract category in **formal representations**.


  [1]: http://linguistics.stackexchange.com/questions/19131/besides-logics-what-mathematical-tools-are-used-in-the-study-of-linguistics
  [2]: http://linguistics.stackexchange.com/users/13238/lemontree