Protected gates for topological quantum field theories (Q2795546)
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scientific article; zbMATH DE number 6559036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Protected gates for topological quantum field theories |
scientific article; zbMATH DE number 6559036 |
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Protected gates for topological quantum field theories (English)
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21 March 2016
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non-abelian anyons
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Verlinde algebra
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fault tolerant codes
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Quantum error-correcting codes provide protection of information against noises, and topological codes provide intrinsic mechanisms for executing in a robust way. A striking successful topological code is the topological quantum field theorie (TQFT) which corresponds to adiabatic movement of quasi-particle excitations (alternatively referred to as anyons). In this paper one characterizes the set of gates implementable by a locality-preserving unitary in a system described by a 2D TQFT. Broadly speaking, the main result is derived and then it is applies to Ising and Fibonacci anyons.
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