Gauge color codes: Optimal transversal gates and gauge fixing in topological stabilizer codes
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- Gauge color codes
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Color codes are topological stabilizer codes with unusual transversality properties. Here I show that their group of transversal gates is optimal and only depends on the spatial dimension, not the local geometry. I also introduce a generalized, subsystem version of color codes. In 3D they allow the transversal implementation of a universal set of gates by gauge fixing, while error-dectecting measurements involve only four or six qubits.
Originalsprog | Engelsk |
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Artikelnummer | 083002 |
Tidsskrift | New Journal of Physics |
Vol/bind | 17 |
Udgave nummer | 8 |
ISSN | 1367-2630 |
DOI | |
Status | Udgivet - 3 aug. 2015 |
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