Almost optimal geometrically local quantum LDPC codes in any dimension
Abstract
with local check operators, have been a subject of significant interest. A key challenge is identifying the optimal code construction that maximizes both code dimension and distance under the geometric constraints. In this work, we introduce a construction that can transform any good quantum LDPC code into an almost optimal geometrically local quantum code. Our approach hinges on a novel yet simple procedure that extracts a two-dimensional structure from an arbitrary three-term chain complex, building a connection between geometric operations and code constructions. We expect that this procedure will find broader applications in areas such as weight reduction and the geometric realization of chain complexes.
Fields of Study & Subjects
Quantum Computing Algorithms and Architecture
Quantum many-body systems
Quantum Information and Cryptography
Publication details
- Journal / source
- Nature Communications
- Volume
- 17
- Issue
- 1
- Publication date
- 5 February 2026
- Language
- EN