Fault-tolerant gates via homological product codes
Quantum Physics
2019-02-06 v2
Abstract
A method for the implementation of a universal set of fault-tolerant logical gates is presented using homological product codes. In particular, it is shown that one can fault-tolerantly map between different encoded representations of a given logical state, enabling the application of different classes of transversal gates belonging to the underlying quantum codes. This allows for the circumvention of no-go results pertaining to universal sets of transversal gates and provides a general scheme for fault-tolerant computation while keeping the stabilizer generators of the code sparse.
Keywords
Cite
@article{arxiv.1807.09783,
title = {Fault-tolerant gates via homological product codes},
author = {Tomas Jochym-O'Connor},
journal= {arXiv preprint arXiv:1807.09783},
year = {2019}
}
Comments
11 pages, 3 figures. v2 (published version): quantumarticle documentclass, expanded discussion on the conditions for a fault tolerance threshold