Application of complementary dual AG codes to entanglement-assisted quantum codes

Francisco R.F. Pereira, Ruud Pellikaan, Giuliano G. La Guardia, Francisco M. De Assis

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

Quantum error correcting codes play the role of suppressing noise and decoherence in quantum systems by introducing redundancy. Some strategies can be used to improve the parameters of these codes. For example, entanglement can provide a way for quantum error correcting codes to achieve higher rates than the one obtained via traditional stabilizer formalism. Such codes are called entanglement-assisted quantum (QUENTA) codes. In this paper, we use algebraic geometry codes to construct two families of QUENTA codes, where one of them has maximal entanglement and is maximal distance separable. In the end, we show that for any asymptotically good tower of algebraic function fields there is an asymptotically good family of maximal entanglement QUENTA codes with nonzero rate, relative minimal distance, and relative amount of entanglement.

Originele taal-2Engels
Titel2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
Plaats van productiePiscataway
UitgeverijInstitute of Electrical and Electronics Engineers
Pagina's2559-2563
Aantal pagina's5
ISBN van elektronische versie9781538692912
DOI's
StatusGepubliceerd - 1 jul 2019
Evenement2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, Frankrijk
Duur: 7 jul 201912 jul 2019

Congres

Congres2019 IEEE International Symposium on Information Theory, ISIT 2019
LandFrankrijk
StadParis
Periode7/07/1912/07/19

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Citeer dit

Pereira, F. R. F., Pellikaan, R., La Guardia, G. G., & De Assis, F. M. (2019). Application of complementary dual AG codes to entanglement-assisted quantum codes. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings (blz. 2559-2563). [8849685] Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ISIT.2019.8849685