Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes

Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes

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...

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Veröffentlicht in:New journal of physics 2015-08, Vol.17 (8), p.83002
1. Verfasser: Bombin, Hector
Format: Artikel
Sprache:eng
Schlagworte:
Color
Error analysis
Fixing
Gages
Gates
gauge fixing
Gauges
Optimization
Physics
Qubits (quantum computing)
Subsystems
Three dimensional
topological color code
topological stabilizer code
Topology
transversal gate
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Zusammenfassung: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.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/17/8/083002