Calderbank-Steane-Shor Holographic Quantum Error Correcting Codes
Quantum Physics
2018-11-07 v2
Abstract
We expand the class of holographic quantum error correcting codes by developing the notion of block perfect tensors, a wider class that includes previously defined perfect tensors. The relaxation of this constraint opens up a range of other holographic codes. We demonstrate this by introducing the self-dual CSS heptagon holographic code, based on the 7-qubit Steane code. Finally we show promising thresholds for the erasure channel by applying a straightforward, optimal erasure decoder to the heptagon code and benchmark it against existing holographic codes.
Keywords
Cite
@article{arxiv.1806.06472,
title = {Calderbank-Steane-Shor Holographic Quantum Error Correcting Codes},
author = {Robert J. Harris and Nathan A. McMahon and Gavin K. Brennen and Thomas M. Stace},
journal= {arXiv preprint arXiv:1806.06472},
year = {2018}
}
Comments
5 pages, 3 figures