Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Ruano · Quantum Information Processing · 2019
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.