7 papers
Low-Weight Canonical Logical Bases from Pair-Partition Codes
Koki Okada, Kenta Kasai
We construct complete canonical logical bases for qubit CSS codes by assigning quaternary coefficients to binary circulant permutation matrix pair-partition (CPM-PP) checks, constr…
Design Principles for Ultra-High-Rate Quantum Codes
Jong Yeon Lee, Koki Okada, Nishad Maskara +2
Reducing the qubit overhead of quantum error correction is a central challenge for scalable fault-tolerant quantum computing. Recent ultra-high-rate quantum codes offer a promising…
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…
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…
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…
High-Girth Regular Quantum LDPC Codes from Square-Base Hypergraph Products via CPM Lifts
Koki Okada, Kenta Kasai
We study square-base Calderbank--Shor--Steane (CSS) hypergraph-product codes as a finite-length class for regular high-girth quantum low-density parity-check (LDPC) design. For bas…
High-Girth Regular Quantum LDPC Codes from Affine-Coset Structures
Koki Okada, Kenta Kasai
We construct a quantum low-density parity-check code family from a length- Calderbank--Shor--Steane base matrix pair. The base pair is permutation-equivalent to the known SPC(…