Beyond Roth-Lempel: Designing Powerful Codes for Quantum Error Correction
This review details the construction of novel Euclidean and Hermitian LCD codes derived from generalized Roth-Lempel codes, offering a new approach to building robust error-correcting systems.



![Discretization error overwhelmingly dominates performance at high tail percentiles, evidenced by a [latex]146K[/latex] error at the 90th percentile, while a quantum advantage of 2-2.5× emerges in oracle-model comparisons only at the 95th and 97th percentiles, suggesting a narrow operating regime for quantum benefit.](https://arxiv.org/html/2603.15664v1/plot_exp4_tail.png)
