On braid group representations (specifically the Burau representation and its relation to the Alexander polynomial) and their application to topological quantum computation:
On topological quantum computation by braiding of anyons (via Chern-Simons theory):
Eric C. Rowell, An Invitation to the Mathematics of Topological Quantum Computation, J. Phys.: Conf. Ser. 698 (2016) 012012 (doi:10.1088/1742-6596/698/1/012012)
Eric Rowell, Zhenghan Wang, Mathematics of Topological Quantum Computing, Bull. Amer. Math. Soc. 55 (2018), 183-238 (arXiv:1705.06206, doi:10.1090/bull/1605)
Eric C. Rowell, Braids, Motions and Topological Quantum Computing [arXiv:2208.11762]
Last revised on August 26, 2022 at 06:11:25. See the history of this page for a list of all contributions to it.