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

VL - 17

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

IS - 8

M1 - 083002

ER -