Extended Data Fig. 5: Circuit details.
From: Non-Abelian braiding of graph vertices in a superconducting processor
Circuits used for the fusion experiment (a), the full-braid experiment (b), and the half-braid experiment (c), shown in Figs. 2–4, respectively, in the main text. Turqoise and gray boxes denote dynamical decoupling and phased XZ-gates, respectively. In the full-braid experiment (b), we include five single-qubit rotations to permute \(\hat{X}\), \(\hat{Y}\) and \(\hat{Z}\) of the three stabilizers touching the moving D3V in steps V-VIII and IX-XI, as well as three Hadamard-gates to return all stabilizers to the original \(\hat{Z}\hat{X}\hat{X}\hat{Z}\)-form in XII. See Extended Data Fig. 6 for the circuit used for ground state preparation, as well as details on how the multi-qubit unitary gates used to move anyons are decomposed into CZ-gates.
