2008/08/31 by Parsa Bonderson, Michael Freedman, Chetan Nayak · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1016/j.aop.2008.09.009
published as Annals Phys. 324, 787-826 (2009) · 57 pages, 5 figures; v2: minor corrections
arxiv created 2008/11/27 · arxiv updated 2009/12/01
We describe measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge. We demonstrate how anyonic teleportation can be achieved using "forced measurement" protocols for both types of measurement. Using this, it is shown how topological charge measurements can be used to generate the braiding transformations used in topological quantum computation, and hence that the physical transportation of computational anyons is unnecessary. We give a detailed discussion of the anyonics for implementation of topological quantum computation (particularly, using the measurement-only approach) in fractional quantum Hall systems.