Diversity Methods for Improving Convergence and Accuracy of Quantum Error Correction Decoders Through Hardware Emulation

P.-J. H. Derks, A. Townsend-Teague, A. G. Burchards, and J. Eisert, “Designing fault-tolerant circuits using detector error models,” Quantum , vol. 9, p. 1905, Nov. 2025. [Online]. Available: https://doi.org/10.22331/q-2025-11-06-1905

1905

Earlier work this paper cites.

T. Richardson, “Error floors of LDPC codes,” in Proceedings of the annual Allerton conference on communication control and computing , vol. 41. The University; 1998, 2003, pp. 1426–1435. [Online]. Available: https://web.stanford.edu/class/ee388/papers/ErrorFloors.pdf

2003

Earlier work this paper cites.

D. Poulin and Y. Chung, “On the iterative decoding of sparse quantum codes,” Quantum Info. Comput. , vol. 8, no. 10, p. 987–1000, Nov. 2008. [Online]. Available: https://dl.acm.org/doi/10.5555/2016985.2016993

2008

Earlier work this paper cites.

R. Gutierrez, V. Torres, and J. Valls, “Hardware Architecture of a Gaussian Noise Generator Based on the Inversion Method,” IEEE Transactions on Circuits and Systems II: Express Briefs , vol. 59, no. 8, pp. 501–505, 2012. [Online]. Available: https://doi.org/10.1109/TCSII.2012.2204119

2012

Earlier work this paper cites.

X. Zhang and P. H. Siegel, “Quantized iterative message passing decoders with low error floor for LDPC codes,” IEEE Transactions on Communications , vol. 62, no. 1, pp. 1–14, 2013. [Online]. Available: https://doi.org/10.1109/TCOMM.2013.112313.120917

2013

Earlier work this paper cites.

Z. Babar, P. Botsinis, D. Alanis, S. X. Ng, and L. Hanzo, “Fifteen years of quantum LDPC coding and improved decoding strategies,” IEEE Access , vol. 3, pp. 2492–2519, Nov. 2015. [Online]. Available: https://doi.org/10.1109/ACCESS.2015.2503267

2015

Earlier work this paper cites.

P. Hailes, L. Xu, R. G. Maunder, B. M. Al-Hashimi, and L. Hanzo, “A Survey of FPGA-Based LDPC Decoders,” IEEE Communications Surveys and Tutorials , vol. 18, no. 2, pp. 1098–1122, 2016. [Online]. Available: https://doi.org/10.1109/COMST.2015.2510381

2015

Earlier work this paper cites.

C. K. Ngassa, V. Savin, E. Dupraz, and D. Declercq, “Density evolution and functional threshold for the noisy min-sum decoder,” IEEE Transactions on Communications , vol. 63, no. 5, pp. 1497–1509, 2015. [Online]. Available: https://doi.org/10.1109/TCOMM.2015.2388472

2015

Earlier work this paper cites.

Z. Mheich, T.-T. Nguyen-Ly, V. Savin, and D. Declercq, “Code-aware quantizer design for finite-precision min-sum decoders,” in 2016 IEEE International Black Sea Conference on Communications and Networking (BlackSeaCom) . IEEE, 2016, pp. 1–5. [Online]. Available: https://doi.org/10.1109/BlackSeaCom.2016.7901540

2016

Earlier work this paper cites.

J. Roffe, D. R. White, S. Burton, and E. Campbell, “Decoding across the quantum low-density parity-check code landscape,” Phys. Rev. Res. , vol. 2, p. 043423, Dec 2020. [Online]. Available: https://doi.org/10.1103/PhysRevResearch.2.043423

2020

Earlier work this paper cites.

P. Panteleev and G. Kalachev, “Degenerate quantum LDPC codes with good finite length performance,” Quantum , vol. 5, p. 585, July 2021. [Online]. Available: https://doi.org/10.22331/q-2021-11-22-585

2021

Earlier work this paper cites.

J. Valls, F. Garcia-Herrero, N. Raveendran, and B. Vasić, “Syndrome-based min-sum vs OSD-0 decoders: FPGA implementation and analysis for quantum LDPC codes,” IEEE Access , vol. 9, pp. 138 734–138 743, Sep. 2021. [Online]. Available: https://doi.org/10.1109/ACCESS.2021.3118544

2021

Earlier work this paper cites.

P. Fuentes, J. Etxezarreta Martinez, P. M. Crespo, and J. Garcia-Frías, “Degeneracy and Its Impact on the Decoding of Sparse Quantum Codes,” IEEE Access , vol. 9, pp. 89 093–89 119, 2021. [Online]. Available: https://doi.org/10.1109/ACCESS.2021.3089829

2021

Cited alongside, same era.

N. Raveendran and B. Vasić, “Trapping sets of quantum LDPC codes,” Quantum , vol. 5, p. 562, July 2021. [Online]. Available: https://doi.org/10.22331/q-2021-10-14-562

2021

Cited alongside, same era.

C. Gidney, “Stim: a fast stabilizer circuit simulator,” Quantum , vol. 5, p. 497, Jul. 2021. [Online]. Available: https://doi.org/10.22331/q-2021-07-06-497

2021

Cited alongside, same era.

J. Du Crest, M. Mhalla, and V. Savin, “Stabilizer inactivation for message-passing decoding of quantum LDPC codes,” in IEEE Information Theory Workshop , Mumbai, India, July 2022, pp. 488–493. [Online]. Available: https://doi.org/10.1109/ITW54588.2022.9965902

2022

Cited alongside, same era.

J. Kim, D. Min, J. Cho, H. Jeong, I. Byun, J. Choi, J. Hong, and J. Kim, “A Fault-Tolerant Million Qubit-Scale Distributed Quantum Computer,” in Proceedings of the 29th ACM International Conference on Architectural Support for Programming Languages and Operating Systems, Volume 2 , ser. ASPLOS ’24. New York, NY, USA: Association for Computing Machinery, 2024, p. 1–19. [Online]. Available: https://doi.org/10.1145/3620665.3640388

2024

Later among the works it cites.

J. Kadomoto, T. Kasamura, and H. Irie, “Preliminary Design Space Exploration for ASIC Implementation of Control Systems in Fault-Tolerant Quantum Computers ,” in 2024 IEEE International Conference on Quantum Computing and Engineering (QCE) . Los Alamitos, CA, USA: IEEE Computer Society, Sep. 2024, pp. 626–627. [Online]. Available: https://doi.org/10.1109/QCE60285.2024.10437

2024

Later among the works it cites.

A. Gong, S. Cammerer, and J. M. Renes, “Graph Neural Networks for Enhanced Decoding of Quantum LDPC Codes,” in 2024 IEEE International Symposium on Information Theory (ISIT) , 2024, pp. 2700–2705. [Online]. Available: https://doi.org/10.1109/ISIT57864.2024.10619589

2024