Quantum Information Transmission with Topological Edge States

Superconducting heterostructures can host subgap states known as Andreev bound states. In topological superconducting systems, novel zero-energy Andreev states were discovered known as Majorana zero modes. Local Majorana zero modes serve as basic ingredients of topological quantum computations. To simplify manipulations, one can use chiral Majorana-fermion edge transport in gapped two-dimensional systems. Here we demonstrate how this approach can be used with continuous-spectrum edge Majorana in the Kitaev honeycomb model and discuss quantum-state transmission along the edge and its fidelity, using auxiliary external qubits as edge probes.