  In view of the fundamental importance and many promising potential
applications, non-Abelian statistics of topologically protected states have
attracted much attention recently. However, due to the operational difficulties
in solid-state materials, experimental realization of non-Abelian statistics is
lacking. The superconducting quantum circuit system is scalable and
controllable, and thus is a promising platform for quantum simulation. Here we
propose a scheme to demonstrate non-Abelian statistics of topologically
protected zero-energy edge modes on a chain of superconducting circuits.
Specifically, we can realize topological phase transition by varying the
hopping strength and magnetic field in the chain, and the realized non-Abelian
operation can be used in topological quantum computation. Considering the
advantages of the superconducting quantum circuits, our protocol may shed light
on quantum computation via topologically protected states.
