5 citations · 6 across the 21 of their papers we have counts for
7 papers · 1 filter
Random Construction of Quantum LDPC Codes
Koki Okada, Kenta Kasai
We propose a method for modifying orthogonal sparse matrix pairs used in CSS codes while preserving their matrix row and column weight distributions, which play a crucial role in d…
Systematic Non-Binary Extension of LDPC-CSS Codes Preserving Orthogonality
Kenta Kasai
We study finite-field extensions that preserve the same support as the parity-check matrices defining a given binary CSS code. Here, an LDPC-CSS code refers to a CSS code whose par…
Sharp Error-Rate Transitions in Quantum QC-LDPC Codes under Joint BP Decoding
Daiki Komoto, Kenta Kasai
In this study, we report that quantum quasi-cyclic low-density parity-check codes decoded via joint belief propagation (BP) exhibit steep error-rate curves, despite the presence of…
Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound
Kenta Kasai
Quantum error correction is essential for realizing scalable quantum computation. Among various approaches, low-density parity-check codes over higher-order Galois fields have show…
Quantum Error Correction with Girth-16 Non-Binary LDPC Codes via Affine Permutation Construction
Kenta Kasai
We propose a method for constructing quantum error-correcting codes based on non-binary low-density parity-check codes with Tanner graph girth 16. While conventional constructions…
Efficient Mitigation of Error Floors in Quantum Error Correction using Non-Binary Low-Density Parity-Check Codes
Kenta Kasai
In this paper, we propose an efficient method to reduce error floors in quantum error correction using non-binary low-density parity-check (LDPC) codes. We identify and classify cy…
Explicit Construction of Quantum Quasi-Cyclic Low-Density Parity-Check Codes with Column Weight 2 and Girth 12
Daiki Komoto, Kenta Kasai
This study proposes an explicit construction method for quantum quasi-cyclic low-density parity-check (QC-LDPC) codes with a girth of 12. The proposed method designs parity-check m…