TY - JOUR
T1 - Gauge color codes
T2 - Optimal transversal gates and gauge fixing in topological stabilizer codes
AU - Bombin Palomo, Hector
PY - 2015/8/3
Y1 - 2015/8/3
N2 - 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.
AB - 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.
KW - gauge fixing
KW - topological color code
KW - topological stabilizer code
KW - transversal gate
UR - http://www.scopus.com/inward/record.url?scp=84941584951&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/17/8/083002
DO - 10.1088/1367-2630/17/8/083002
M3 - Journal article
AN - SCOPUS:84941584951
SN - 1367-2630
VL - 17
JO - New Journal of Physics
JF - New Journal of Physics
IS - 8
M1 - 083002
ER -