Dimensional Jump in Quantum Error Correction
Quantum Physics
2016-05-13 v3
Abstract
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.
Cite
@article{arxiv.1412.5079,
title = {Dimensional Jump in Quantum Error Correction},
author = {H. Bombin},
journal= {arXiv preprint arXiv:1412.5079},
year = {2016}
}
Comments
As accepted in journal: 10 pages, 3 figures