@article{levaillant2015universal, author = {Levaillant, Claire and Bauer, Bela and Freedman, Michael and Wang, Zhenghan and Bonderson, Parsa}, title = {Universal gates via fusion and measurement operations on SU (2) 4 anyons}, year = {2015}, month = {July}, abstract = {We examine a class of operations for topological quantum computation based on fusing and measuring topological charges for systems with SU(2)4 or k = 4 Jones-Kauffman anyons. We show that such operations augment the braiding operations, which, by themselves, are not computationally universal. This augmentation results in a computationally universal gate set through the generation of an exact, topologically protected irrational phase gate and an approximate, topologically protected controlled-Z gate.}, publisher = {American Physical Society}, url = {http://approjects.co.za/?big=en-us/research/publication/universal-gates-via-fusion-measurement-operations-su-2-4-anyons/}, pages = {12301}, journal = {Physical Review A}, volume = {92}, chapter = {1}, }