2-D color code quantum computation
Quantum Physics
2015-03-13 v3
Abstract
We describe in detail how to perform universal fault-tolerant quantum computation on a 2-D color code, making use of only nearest neighbor interactions. Three defects (holes) in the code are used to represent logical qubits. Triple defect logical qubits are deformed into isolated triangular sections of color code to enable transversal implementation of all single logical qubit Clifford group gates. CNOT is implemented between pairs of triple defect logical qubits via braiding.
Cite
@article{arxiv.0806.4827,
title = {2-D color code quantum computation},
author = {Austin G. Fowler},
journal= {arXiv preprint arXiv:0806.4827},
year = {2015}
}
Comments
9 pages, 15 figures, shorter and simpler version achieving universality with the aid of state distillation