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quant-ph2023
Categorified Path Calculus
Simon Burton
Path calculus, or graphical linear algebra, is a string diagram calculus for the category of matrices over a base ring. It is the usual string diagram calculus for a symmetric mono…
quant-ph2023★ 12 cited
CSS code surgery as a universal construction
Alexander Cowtan, Simon Burton
We define code maps between Calderbank-Shor-Steane (CSS) codes using maps between chain complexes, and describe code surgery between such codes using a specific colimit in the cate…