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.
Original language | English |
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Article number | 083002 |
Journal | New Journal of Physics |
Volume | 17 |
Issue number | 8 |
ISSN | 1367-2630 |
DOIs | |
Publication status | Published - 3 Aug 2015 |
- gauge fixing, topological color code, topological stabilizer code, transversal gate
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