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20242026
most citedQuantum Error Correction near the Coding Theoretical Bound

5 citations · 6 across the 20 of their papers we have counts for

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quant-ph2026

Pair-Partition Constructions for CPM-Based Quantum LDPC Codes

Koki Okada, Kenta Kasai

We introduce the pair-partition (PP) construction of binary Calderbank--Shor--Steane quantum low-density parity-check codes from circulant permutation matrices. A square array of p…

quant-ph2026

Spatially Coupled MacKay-Neal/Hsu-Anastasopoulos CSS Codes Achieve the Quantum-Erasure Hashing Bound by Seeded BP Decoding

Kenta Kasai

We study hard-erasure belief-propagation (BP), understood as the sum-product algorithm on erasure messages, for a punctured MacKay-Neal/Hsu-Anastasopoulos (MN/HA) representation of…

quant-ph2026

Rate-2/3 Girth-8 (3,18)-Regular Quantum LDPC Codes from Two-Branch Finite-Field Bases and CPM Lifts

Koki Okada, Kenta Kasai

We construct a rate- quantum low-density parity-check (LDPC) code from a -regular two-branch finite-field base and a circulant-permutation-matrix (CPM) lift of degree…

quant-ph2026

A Factor-Graph Formulation of CSS Syndrome Decoding: Joint BP and Four-State BP

Kenta Kasai

For CSS syndrome decoding, the two check matrices impose binary parity-check constraints on the two Pauli error components. The posterior can therefore be written as a binary facto…

quant-ph2026

A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases

Koki Okada, Kenta Kasai

This paper develops a two-branch multiplicative-coset construction for regular Calderbank--Shor--Steane (CSS) quantum low-density parity-check base matrices. For a target column we…

quant-ph2026

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…