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Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Rua · 2018-12-13 · via cs.IT updates on arXiv.org

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 hold 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.

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