New quantum codes from CSS codes

DOI10.1007/s11128-023-03835-3OpenAlexW4317714067MaRDI QIDQ2688152

Markus Grassl

Publication date: 2 March 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05353

zbMATH Keywords

quantum error correctionasymmetric quantum codesCSS codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (7)

A family of cyclic codes with two zeros ⋮ The subfield and extended codes of a subclass of optimal three-weight cyclic codes ⋮ Two classes of ternary LCD constacyclic BCH codes ⋮ Steane enlargement of entanglement-assisted quantum error-correcting codes ⋮ Improving the minimum distance bound of trace Goppa codes ⋮ New quantum codes from self-dual codes over \(\mathbb{F}_4\) ⋮ Parameters of several families of binary duadic codes and their related codes

Uses Software

• Magma

Cites Work

• Unnamed Item
• The Magma algebra system. I: The user language
• Asymmetric quantum codes: new codes from old
• Error-correcting linear codes. Classification by isometry and applications. With CD-ROM
• Asymptotic bounds on quantum codes from algebraic geometry codes
• A Finite Gilbert–Varshamov Bound for Pure Stabilizer Quantum Codes
• Nonbinary Stabilizer Codes Over Finite Fields
• Asymmetric quantum codes: constructions, bounds and performance
• Fundamentals of Error-Correcting Codes
• On binary constructions of quantum codes
• Quantum error correction via codes over GF(4)
• On the equivalence of linear cyclic and constacyclic codes

This page was built for publication: New quantum codes from CSS codes