Quantum Goethals-Preparata Codes
Markus Grassl, Martin Roetteler
TL;DR
This paper introduces a new family of non-additive quantum codes derived from classical Goethals and Preparata codes, achieving significantly higher dimensions than existing additive quantum codes with the same length and minimum distance.
Contribution
It presents a novel construction of non-additive quantum codes based on classical codes, with improved dimension over known additive quantum codes.
Findings
Codes have parameters ((2^m,2^{2^m-5m+1},8))
Dimension is eight times higher than best known additive codes
Achieves the same minimum distance with larger code dimension
Abstract
We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these codes is eight times higher than the dimension of the best known additive quantum codes of equal length and minimum distance.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.