Construction of secure direct communication protocols in the topological quantum computing model

This paper presents an implementation of the six-state quantum key distribution protocol and theLM05 quantum secure direct communication protocol based on anyonic systems. We consider therepresentation of logical qubits and operations of the protocol through the manipulation of abeliananyons of the Kitaev model and non-abelian Fibonacci anyons. A comparative analysis of the anyonicimplementations with the classical photonic approach is carried out in terms of key characteristics suchas accuracy, stability, and complexity. The advantages and experimental challenges of anyonic platformsfor quantum information exchange are discussed.