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- W2891992737 abstract "Entanglement-assisted quantum error-correcting (EAQEC, for short) codes use pre-existing entanglements between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQEC code from any classical linear code, unlike standard quantum error-correcting codes, they can only be constructed from classical linear codes which contain their Hermitian dual codes. However, how to determine the parameters of ebits c in EAQEC codes is not an easy task. In this paper, let p be prime and e, k be integers, we construct six classes of EAQEC codes based on k-Galois dual codes over finite fields Fpe, where 0≤k<e. The parameter of ebits c of these EAQEC codes can be easily generated algebraically. Furthermore, the six classes of EAQEC codes are of maximal entanglement, most of which have better parameters than current EAQEC codes available." @default.
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- W2891992737 date "2019-01-01" @default.
- W2891992737 modified "2023-09-27" @default.
- W2891992737 title "New entanglement-assisted quantum codes from k-Galois dual codes" @default.
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- W2891992737 doi "https://doi.org/10.1016/j.ffa.2018.09.001" @default.
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