Data for our constructed stabilizer matrices for the NISQ Error Correction Codes

GB_MMM: GB codes constructed via [a], which are simulated and compared in [1].

i) GB#2: GB_392_48_w13_7_d13

ii) GB#3: GB_512_174_w8_15_d6

iii) GB#4: GB_512_174_w9_21_d7

### General info: ``Hz" and ``Hx" are the binary parity-check matrices for the GB codes, which satisfy [1, eq. (1)].

[a]. D. J. C. MacKay, G. Mitchison, and P. L. McFadden, “Sparse-graph codes for quantum error correction,” IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2315–2330, Oct. 2004.

[1]. O. Å. Mostad, H.-Y. Lin, E. Rosnes, D.-S. Lee, and C.-Y. Lai, “Advancing finite-length quantum error correction using generalized bicycle codes,” May 2025, arXiv:2505.06157v1 [quant-ph].