



@article {1350,
	title = {Unified approach to topological quantum computation with anyons: From qubit encoding to Toffoli gate},
	journal = {Physical Review A},
	volume = {84},
	year = {2011},
	month = {2011/7/26},
	abstract = {Topological quantum computation may provide a robust approach for encoding and manipulating information utilizing the topological properties of anyonic quasi-particle excitations. We develop an efficient means to map between dense and sparse representations of quantum information (qubits) and a simple construction of multi-qubit gates, for all anyon models from Chern-Simons-Witten SU(2)$_k$ theory that support universal quantum computation by braiding ($k\geq 3,\ k \neq 4$). In the process, we show how the constructions of topological quantum memory and gates for $k=2,4$ connect naturally to those for $k\geq 3,\ k \neq 4$, unifying these concepts in a simple framework. Furthermore, we illustrate potential extensions of these ideas to other anyon models outside of Chern-Simons-Witten field theory.
},
	doi = {10.1103/PhysRevA.84.012332},
	url = {http://arxiv.org/abs/1001.4085v2},
	author = {Haitan Xu and J. M. Taylor}
}
