Qubit ZooA comprehensive review of non-Abelian anyons, fusion spaces, braid-group representations, candidate physical systems, and their use for topological quantum computation.
Key Results
- Explains why non-Abelian braiding acts as a unitary matrix on a degenerate fusion space rather than contributing only a scalar phase.
- Distinguishes braid-universal Fibonacci anyons from Ising anyons, whose braids generate only Clifford operations.
- Connects topological protection to nonlocal encoding and an excitation gap while cataloguing the measurements and non-topological resources needed for computation.
Links
- Journal: Reviews of Modern Physics
- arXiv: 0707.1889