non-Abelian anyons

Non-Abelian anyons are exotic particles that emerge in certain quantum systems, like specific two-dimensional materials. Unlike ordinary particles (fermions and bosons), swapping non-Abelian anyons changes their collective quantum state in a way that depends on the sequence of exchanges, not just the identity of the particles. This property makes their behavior non-commutative (non-Abelian). Such unique braiding characteristics hold promise for robust quantum computing, as information can be stored and manipulated through particle exchanges that are inherently resistant to errors, leveraging the complex topology of these states.