CMTopic
Non-Abelian quantum Hall states and anyon braiding
In some quantum Hall states, quasiparticles called non-Abelian anyons store information in how they are wound around each other, so that swapping them performs an operation that depends on the order of swaps. The $5/2$ state in gallium arsenide and half-integer states in bilayer graphene are the main candidates, but their identity and braiding are still being established.
Why it matters
Proving non-Abelian statistics would establish a new kind of quantum particle and the physical basis of topological quantum computing.
Review
C. Nayak, S. H. Simon, A. Stern, M. Freedman, S. Das Sarma, Non-Abelian anyons and topological quantum computation, Reviews of Modern Physics, 2008. https://arxiv.org/abs/0707.1889 reference checked
Proof
- Signed record
- ef024a2f66f3…
- Public log
- Entry 160, in checkpoint 2,123
- Bitcoin date
- Waiting for Bitcoin (usually a few hours)