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Improved Quantum Codes from Metacirculant Graphs via Self-Dual Additive 𝔽_4-Codes

05/26/2021

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by Padmapani Seneviratne, et al.

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We use symplectic self-dual additive codes over 𝔽_4 obtained from metacirculant graphs to construct, for the first time, [[ℓ, 0, d ]] qubit codes with parameters (ℓ,d) ∈{(78, 20), (90, 21), (91, 22), (93,21),(96,21)}. Secondary constructions applied to the qubit codes result in many qubit codes that perform better than the previous best-known.

Padmapani Seneviratne
3 publications
Martianus Frederic Ezerman
20 publications

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