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Entanglement-assisted Quantum Error Correcting Code Saturating The Classical Singleton Bound

Entanglement-assisted Quantum Error Correcting Code Saturating The Classical Singleton Bound

We introduce a construction for entanglement-assisted quantum error-correcting codes (EAQECCs) that saturates the classical Singleton bound with less shared entanglement than any known method for code rates below $ \frac{k}{n} = \frac{1}{3} $. For higher rates, our EAQECC also meets the Singleton bound, although with increased entanglement requirements. Additionally, we …