Layered Decoding of Quantum LDPC Codes

P. Panteleev and G. Kalachev, “Degenerate quantum LDPC codes with good finite length performance,” Quantum , vol. 5, p. 585, 2021, arXiv:1904.02703

Original

1904

Earlier work this paper cites.

Y. Mao and A. H. Banihashemi, “Decoding low-density parity-check codes with probabilistic scheduling,” IEEE Communications Letters , vol. 5, no. 10, pp. 414–416, 2001

2001

Earlier work this paper cites.

J. Zhang, Y. Wang, M. P. C. Fossorier, and J. S. Yedidia, “Iterative decoding with replicas,” IEEE Transactions on Information Theory , vol. 53, no. 5, pp. 1644–1663, 2007

2007

Earlier work this paper cites.

V. Savin, “Iterative LDPC decoding using neighborhood reliabilities,” in IEEE Int. Symp. on Inf. Theory (ISIT) , 2007, pp. 221–225

2007

Earlier work this paper cites.

A. I. Vila Casado, M. Griot, and R. D. Wesel, “LDPC decoders with informed dynamic scheduling,” IEEE Trans. on Communications , vol. 58, no. 12, pp. 3470–3479, 2010

2010

Earlier work this paper cites.

J.-P. Tillich and G. Zémor, “Quantum ldpc codes with positive rate and minimum distance proportional to the square root of the blocklength,” IEEE Transactions on Information Theory , vol. 60, no. 2, pp. 1193–1202, 2013, arXiv:0903.0566

Original

2013

Cited alongside, same era.

E. Boutillon and G. Masera, “Hardware design and realization for iteratively decodable codes,” in Channel coding: Theory, algorithms, and applications , D. Declercq, M. Fossorier, and E. Biglieri, Eds. Elsevier, 2014, pp. 583–642

2014

Cited alongside, same era.

V. Savin, “LDPC decoders,” in Channel coding: Theory, algorithms, and applications , D. Declercq, M. Fossorier, and E. Biglieri, Eds. Elsevier, 2014, pp. 211–260

2014

Cited alongside, same era.

A. Holmes, M. R. Jokar, G. Pasandi, Y. Ding, M. Pedram, and F. T. Chong, “NISQ+: Boosting Quantum Computing Power by Approximating Quantum Error Correction,” in Proceedings of the ACM/IEEE 47th Annual International Symposium on Computer Architecture , ser. ISCA ’20. IEEE Press, 2020, p. 556–569

N. Raveendran and B. Vasić, “Trapping sets of quantum LDPC codes,” Quantum , vol. 5, p. 562, Oct. 2021

2021

Later among the works it 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, 2021

2021

Later among the works it cites.

Y. Ueno, M. Kondo, M. Tanaka, Y. Suzuki, and Y. Tabuchi, “QECOOL: On-line quantum error correction with a superconducting decoder for surface code,” in 2021 58th ACM/IEEE Design Automation Conference (DAC) . IEEE, dec 2021

2021

Later among the works it cites.

J. Du Crest, M. Mhalla, and V. Savin, “Stabilizer inactivation for message-passing decoding of quantum LDPC codes,” in IEEE Information Theory Workshop (ITW) . IEEE, 2022, pp. 488–493

2022

Later among the works it cites.