Demystifying the Balanced Product Code: A Review

Fuente: arXiv
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Main Authors: Leitch, Heather, Kay, Alastair
Format: Preprint
Published: 2025
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author Leitch, Heather
Kay, Alastair
author_facet Leitch, Heather
Kay, Alastair
contents The discovery of the family of balanced product codes was pivotal in the subsequent development of 'good' low density quantum error correcting codes that have optimal scaling of the key parameters of distance and storage density. We review this family, giving a completely different presentation to the original, minimising the abstraction and technicalities wherever possible. The target audience is anyone familiar with the stabilizer formalism for error correction wanting to understand how parity-check matrices can be constructed for high storage density quantum codes.
format Preprint
id arxiv_https___arxiv_org_abs_2505_13679
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Demystifying the Balanced Product Code: A Review
Leitch, Heather
Kay, Alastair
Quantum Physics
The discovery of the family of balanced product codes was pivotal in the subsequent development of 'good' low density quantum error correcting codes that have optimal scaling of the key parameters of distance and storage density. We review this family, giving a completely different presentation to the original, minimising the abstraction and technicalities wherever possible. The target audience is anyone familiar with the stabilizer formalism for error correction wanting to understand how parity-check matrices can be constructed for high storage density quantum codes.
title Demystifying the Balanced Product Code: A Review
topic Quantum Physics
url https://arxiv.org/abs/2505.13679