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Entanglement-assisted quantum error-correcting codes over arbitrary finite fields. (arXiv:1812.05312v1 [cs.IT])

We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field holds for codes over arbitrary finite fields as well. We also give a Gilbert-Varshamov bound for EAQECCs and constructions of EAQECCs coming from punctured self-orthogonal linear codes which are valid for any finite field.查看全文

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