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Paper Detail

Paper Title Application of Complementary Dual AG Codes to Entanglement-Assisted Quantum Codes
Paper IdentifierFR1.R6.1
Authors Francisco Revson Fernandes Pereira, Ruud Pellikaan, Eindhoven University of Technology, Netherlands; Giuliano Gadioli La Guardia, State University of Ponta Grossa, Brazil; Francisco Marcos de Assis, Federal University of Campina Grande, Brazil
Session Classical Meets Quantum
Location Sorbonne, Level 5
Session Time Friday, 12 July, 09:50 - 11:10
Presentation Time Friday, 12 July, 09:50 - 10:10
Manuscript  Click here to download the manuscript
Abstract 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.