# Correspondence between the Topological model and Quantum Circuit model

For example, given the $$R$$ & $$F$$ gates and Toric codes for a given problem, how to convert this code into the conventional circuit model and vice versa. From the literature developed, it seems that they tackle fairly different kinds of problems for these realizations.

How to write, let's say, Grover's algorithm for a topological experiment? What is the correspondence to convert them back and forth?