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Geometry of the symplectic group and optimal EAQECC codes
January 26, 2025 Β· Declared Dead Β· + Add venue
"No code URL or promise found in abstract"
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Authors
Ruihu Li, Yuezhen Ren, Chaofeng Guan, Yang Liu
arXiv ID
2501.15465
Category
quant-ph: Quantum Computing
Cross-listed
cs.IT
Citations
0
Last Checked
5 months ago
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.
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