Fig. 3: Anyon dynamics on a state with two non-Abelian defects.
From: Topological order from measurements and feed-forward on a trapped ion quantum computer
a Geometry. The lack of the central qubit and the redefinition of the stabilizers leads to two defective plaquettes. b Expectation values of the stabilizers obtained from the state preparation and measurement routine described in “Anyon Transmutation and Interferometry” in the Results section. Error bars denote one standard error on the mean. c Anyon transmutation. A pair of magnetic anyons (m) is created and one partner is transmuted into an electric anyon (e) by moving it across the line connecting the two defects. The maximum and minimum standard error on the mean for the expectation values of stabilizers are ±0.023 and ±0.0066 respectively. Color bars from panel (b) apply. d Anyon Interferometry. A fermionic e − m composite anyon is created next to the defect and a controlled-Z10Z8Z4Z7 braiding operation is applied with the help of an ancilla.
