Topological Quantum Computation on a Chiral Kondo Chain

TL;DR

This paper introduces a chiral Kondo chain model with non-Abelian anyons, proposing its use for measurement-based topological quantum computation and analyzing its error sources and material realizations.

Contribution

It presents a novel chiral Kondo chain model with symplectic symmetry that enables measurement-only topological quantum computation.

Findings

The model hosts a quantum critical ground state with non-Abelian anyons.

Detection of anyon fusion channels via conductance measurements is feasible.

The paper discusses potential material implementations and error sources.

Abstract

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 finite frequency. Based on such measurements, we propose that the chiral Kondo chain model with symplectic symmetry can be used for implementation of measurement-only topological quantum computations, and it possesses a number of distinct features favorable for such applications. The sources and effects of errors in the proposed system are analyzed, and possible material realizations are discussed.