Jackiw-Rebbi zero-mode: Realizing non-Abelian braiding in non-Majorana system

As an important branch of quantum computation, topological quantum computation has been drawing extensive attention for holding great advantages such as fault-tolerance. Topological quantum computation is based on the non-Abelian braiding of quantum states, where the non-Abelian braiding in the field of quantum statistics is highly related to the non-locality of the quantum states. The exploration on topological quantum computation in the last two decades is mainly focused on the Majorana fermion (or its zero-energy incarnation known as Majorana zero-mode), an exotic particle possessing non-Abelian statistics and well-known for its anti-particle being itself.