We describe the chiral Kondo chain model based on the symplectic Kondo effect and demonstrate that it has a quantum critical ground state populated by non-Abelian anyons. We show that the fusion channel of two arbitrary anyons can be detected by locally coupling the two anyons to an extra single channel of chiral current and measuring the corresponding conductance at a finite frequency. Based on such measurements, we propose that the chiral Kondo chain model with symplectic symmetry can be used for the implementation of measurement-only topological quantum computations, and it possesses several distinct features favorable for such applications. The sources and effects of errors in the proposed system are analyzed and possible material realizations are discussed.

• Received 17 September 2023
• Revised 31 January 2024
• Accepted 2 February 2024

DOI:https://doi.org/10.1103/PhysRevB.109.075145