Dimensional jump in quantum error correction

TY - JOUR

T1 - Dimensional jump in quantum error correction

AU - Bombin Palomo, Hector

PY - 2016/4

Y1 - 2016/4

N2 - Topological stabilizer codes with different spatial dimensions have complementary properties. Here I show that the spatial dimension can be switched using gauge fixing. Combining 2D and 3D gauge color codes in a 3D qubit lattice, fault-tolerant quantum computation can be achieved with constant time overhead on the number of logical gates, up to efficient global classical computation, using only local quantum operations. Single-shot error correction plays a crucial role.

AB - Topological stabilizer codes with different spatial dimensions have complementary properties. Here I show that the spatial dimension can be switched using gauge fixing. Combining 2D and 3D gauge color codes in a 3D qubit lattice, fault-tolerant quantum computation can be achieved with constant time overhead on the number of logical gates, up to efficient global classical computation, using only local quantum operations. Single-shot error correction plays a crucial role.

U2 - 10.1088/1367-2630/18/4/043038

DO - 10.1088/1367-2630/18/4/043038

M3 - Journal article

SN - 1367-2630

VL - 18

JO - New Journal of Physics

JF - New Journal of Physics

IS - 4

M1 - 043038

ER -