Geometry of the symplectic group and optimal EAQECC codes
Quantum Physics
2025-08-13 v2 Information Theory
math.IT
Abstract
A new type of link between geometry of symplectic group and entanglement-assisted (EA) quantum error-correcting codes (EAQECCs) is presented. Relations of symplectic subspaces and quaternary additive codes concerning parameters of EAQECCs are described. Thus, parameters of EA stabilizer codes are revealed in the nomenclature of additive codes. Our techniques enable us solve some open problems about optimal EAQECCs and entanglement-assisted quantum minimum distance separable (EAQMDS) codes, and are also useful for designing encoding and decoding quantum circuit of EA stabilizer codes.
Keywords
Cite
@article{arxiv.2501.15465,
title = {Geometry of the symplectic group and optimal EAQECC codes},
author = {Ruihu Li and Yuezhen Ren and Chaofeng Guan and Yang Liu},
journal= {arXiv preprint arXiv:2501.15465},
year = {2025}
}
Comments
11 pages