Quantum Information Processing

Entanglement-assisted binary quantum codes from skew cyclic codes over $${\mathbb {F}}_2 \times ({\mathbb {F}}_2+v{\mathbb {F}}_2)$$

Fatma Çalışkan, Refia Aksoy, Nuh Aydın, Peihan Liu

Published May 10, 2023• 1 citation

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DOI: 10.1007/s11128-023-03945-y

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Quantum Information Processing

Entanglement-assisted binary quantum codes from skew cyclic codes over ${\mathbb {F}}_2 \times ({\mathbb {F}}_2+v{\mathbb {F}}_2)$ Entanglement-assisted binary quantum codes from skew cyclic codes over $${\mathbb {F}}_2 \times ({\mathbb {F}}_2+v{\mathbb {F}}_2)$$

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Entanglement-assisted binary quantum codes from skew cyclic codes over

{\mathbb {F}}_2 \times ({\mathbb {F}}_2+v{\mathbb {F}}_2)

Quantum Codes from Cyclic Codes over

F_2+vF_2

\pmb {{\mathbb {F}}}_q

-Linear skew cyclic codes over

\pmb {{\mathbb {F}}}_{q^2}

and their applications of quantum codes construction

New quantum codes and entanglement-assisted quantum codes from repeated-root cyclic codes of length

2^rp^s

Maximal entanglement-assisted quantum error correction codes from the skew group ring

{\mathbb {F}}_4 \rtimes _{\varphi } G

by a heuristic search scheme