We argue that category theory should become a part of the daily practice of the physicist, and more specific, the quantum physicist and/or informatician. The reason for this is not that category theory is a better way of doing mathematics, but that monoidal categories constitute the actual algebra of practicing physics. We will not provide rigorous definitions or anything resembling a coherent mathematical theory, but we will take the reader for a journey introducing concepts which are part of category theory in a manner that the physicist will recognize them.
Coecke REF asserts that category theory should become part of the daily practice of the physicist.
Introducing categories to the practicing physicist
What is category theory? Advanced Studies in Mathematics and Logic, volume 30, pages 45-74, Polimetrica Publishing, 2006
Mathematics Physics