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arXiv · 1812.05312

Entanglement-assisted quantum error-correcting codes over arbitrary finite fields

Carlos Galindo·Fernando Hernando·Ryutaroh Matsumoto·Diego Ruano
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Abstract

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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Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Ruano. 2021-01-27. Entanglement-assisted quantum error-correcting codes over arbitrary finite fields. https://doi.org/10.1007/s11128-019-2234-5

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