What type of study is this?

This is a Quantitative Study study.

October 8, 2025Open Access

CSS-T codes over Binary Extension Fields and their Physical Foundations

Key Points

CSS-T codes allow for efficient quantum error correction using linear codes over binary fields, enhancing performance.
The study demonstrates the construction of asymptotically good LDPC CSS-T codes in binary extension fields, improving quantum code stability.
Extending the definition of linear codes emphasizes the adaptability of CSS-T codes in quantum computing applications.
Exploring transversal T-gates showcases advancements in quantum error-correcting codes, relevant to modern quantum algorithms.

Abstract

We investigate the class of CSS-T codes, a family of quantum error-correcting codes that allows for a transversal T-gate. We extend the definition of a pair of linear codes (C₁, C₂), Cᵢqⁿ, forming a q-ary CSS-T code over binary extension fields, and demonstrate the existence of asymptotically good sequences of LDPC CSS-T codes over any such field.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Postema et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6a0f4718ef0a556b33d5c https://doi.org/https://doi.org/10.48550/arxiv.2507.17611