We present a planar surface-code-based scheme for fault-tolerant quantum computation which eliminates the time overhead of single-qubit Clifford gates, and implements long-range multi-target CNOT gates with a time overhead that scales only logarithmically with the control-target separation. This is done by replacing hardware operations for single-qubit Clifford gates with a classical tracking protocol. Inter-qubit communication is added via a modified lattice surgery protocol that employs twist defects of the surface code. The long-range multi-target CNOT gates facilitate magic state distillation, which renders our scheme fault-tolerant and universal.
@article{arxiv.1709.02318,
title = {Lattice Surgery with a Twist: Simplifying Clifford Gates of Surface Codes},
author = {Daniel Litinski and Felix von Oppen},
journal= {arXiv preprint arXiv:1709.02318},
year = {2018}
}