Physics – Quantum Physics
Scientific paper
2011-01-03
Physics
Quantum Physics
7 pages, 2 figures
Scientific paper
The anyonic excitations of topological color code model with two-body interactions in two spatial dimentions are used to implement a set of gates. Because of two-body interactions, the model can be simulated in optical lattices. The excitations are emerging high-energy anyonic fermions associated to string-net structure of the model. The excitations belong to different families with nontrivial mutual statistics, and couple to nontrivial gauge fields. The underlying lattice structure and interaction between spins provide various opportunities for encoding the states of a logical qubit in anyonic states. The corresponding interaction makes the transition between different anyonic states, so being logical operation in the computational bases of the encoded qubit. Two-qubit gates can be performed in a topological way using the braiding of anyons around each other.
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