The world’s first braiding of non-Abelian anyons
- Non-Abelian anyons and their potential for quantum computing
- Non-Abelian anyons are a type of particle that show promise for quantum computing through braiding operations.
- Braiding these particles can be used as quantum computing operations, similar to how strings are braided to create knots.
- Abelian anyons are not as useful for topological quantum computing as non-Abelian anyons.
- Producing non-Abelian anyons
- To produce non-Abelian anyons, degeracy must be controlled.
- Single-qubit gates can be used to create and move non-Abelian anyons.
- Verifying anyonic behavior
- Three characteristics of non-Abelian anyons are investigated: fusion rules, statistics, and non-locality.
- Fusion rules are examined by observing the behavior of a pair of non-Abelian anyons when brought into contact with each other and with bishop-like plaquette violations.
- Braiding of non-Abelian anyons demonstrates their non-Abelian statistics.
- Non-locality is demonstrated through the entanglement of the state of multiple non-Abelian anyons.