MDS stabilizer poset codes
Abstract Poset metrics in the context of stabilizer codes are investigated. We establish a Singleton-type bound for stabilizer poset codes and introduce the notion of MDS stabilizer poset codes. Several characterizations of these codes are obtained, including criteria in terms of additive codes and perfect codes. We also prove existence results for large families of examples, thereby extending classical results on MDS poset codes to the quantum setting.
Authors
- Mahir Bilen Can (ORCID: https://orcid.org/0000-0002-0175-4897)
Institutions
- Tulane University (US)
- Okinawa Institute of Science and Technology Graduate University (JP)
Publication Details
- Journal
- Designs Codes and Cryptography
- Published
- 2025-12-20
- DOI
- https://doi.org/10.1007/s10623-025-01743-4
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Okinawa Institute of Science and Technology Graduate University