Improved Quantum Codes from Metacirculant Graphs via Self-Dual Additive $\mathbb{F}_4$ -CodesImproved Quantum Codes from Metacirculant Graphs via Self-Dual Additive $\mathbb{F}_4$-Codes

Padmapani Seneviratne, Martianus Frederic Ezerman

We use symplectic self-dual additive codes over $\mathbb{F}_4$ obtained from metacirculant graphs to construct, for the first time, $[[\ell, 0, d ]]$ qubit codes with parameters $(\ell,d) \in \{(78, 20), (90, 21), (91, 22), (93,21),(96,21)\}$ . Secondary constructions applied to the qubit codes result in many qubit codes that perform better than the previous best-known.We use symplectic self-dual additive codes over $\mathbb{F}_4$ obtained from metacirculant graphs to construct, for the first time, $[[\ell, 0, d ]]$ qubit codes with parameters $(\ell,d) \in \{(78, 20), (90, 21), (91, 22), (93,21),(96,21)\}$. Secondary constructions applied to the qubit codes result in many qubit codes that perform better than the previous best-known.

arXiv:2105.12685May 26, 20210 citations

Improved Quantum Codes from Metacirculant Graphs via Self-Dual Additive

\mathbb{F}_4

-Codes

We use symplectic self-dual additive codes over

\mathbb{F}_4

obtained from metacirculant graphs to construct, for the first time,

[[\ell, 0, d ]]

qubit codes with parameters

(\ell,d) \in \{(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.