Prerequisites: Basic knowledge of quantum mechanics, statistical mechanics, second quantisation.
Topics : (a) Overview, basic ideas of fractional statistics and braiding, general models of anyons, including Fibonacci model, fusion and braiding rules, F and R matrices, quantum dimension, explicit computation for Fibonacci and other models, anyon diagramatics, computing with anyons, single and two qubit gates, quantum error correction, toric code model, X and Z errors, toric code model as an anyon model, S and T matrices, knot invariants, linking numbers, Chern-Simons theories, topological quantum field theories
References
- Book : Topological quantum : Steve Simon
- Lecture notes by John Preskill
- Lecture notes by von Oppen, Peng and Pientka
- Review articles by Sumathi Rao
- Other reviews and lecture notes to be specified later
- Teacher: Sumathi Rao
Credit Score: 4