6 papers
Heuristic Search for Minimum-Distance Upper-Bound Witnesses in Quantum APM-LDPC Codes
Kenta Kasai
This paper investigates certified upper bounds on the minimum distance of an explicit family of Calderbank-Shor-Steane quantum LDPC codes constructed from affine permutation matric…
Cross-Commuting Nonabelian Squares in Affine Groups over Finite Commutative Principal Ideal Rings
Kenta Kasai
We study a commutation pattern in which two affine families commute completely across the two families while each family retains internal noncommutativity. For one-dimensional affi…
Finite-Degree Quantum LDPC Codes Reaching the Gilbert-Varshamov Bound
Kenta Kasai
We construct asymptotically good nested Calderbank-Shor-Steane (CSS) code pairs from Hsu-Anastasopoulos codes and MacKay-Neal codes. In the fixed-degree regime, we prove that the c…
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…
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…