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Re:Matrices, diagrammatically by mrcactu5 on Wednesday June 10, 2015 @05:20PM (#9695517)
I am guessing these diagrams are taken from Electrical Engineering and not Quantum Physics.

The blog looks like an expansion of their paper http://arxiv.org/abs/1403.7048v3

Yes! That's where I have seen these diagrams before. They are Hopf algebras, which appear both in Electrical Engineering and Theoretical Physics.

Re:Matrices, diagrammatically by JadeNB on Wednesday June 10, 2015 @06:58PM (#9696229)
Baez discussed the paper on the n-Category Café, and it may be easier for the inexperienced (like me!) to get started there: https://golem.ph.utexas.edu/category/2015/05/props_for_linea... .