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- W2903799547 abstract "Abstract There are some differences between quantum and classical error corrections [Nielsen M.A., and I.L. Chuang, “Quantum Computation and Quantum Information”, Cambridge University Press, Cambridge, 2002.]. Hence, these differences should be considered when a new procedure is performed. In our recent study, we construct new quantum error correcting codes over different mathematical structures. The classical codes over Eisenstein-Jacobi(EJ) integers are mentioned in [Huber, K., “Codes over Eisenstein-Jacobi integers”, Contemporary Mathematics 168 (1994), 165.]. There is an efficient algorithm for the encoding and decoding procedures of these codes [Huber, K., “Codes over Eisenstein-Jacobi integers”, Contemporary Mathematics 168 (1994), 165.]. For coding over two-dimensional signal spaces like QAM signals, block codes over these integers p = 7, 13, 19, 31, 37, 43, 61, … can be useful [Dong, X., C.B. Soh, E. Gunawan and L. Tang, “Groups of Algebraic Integers used for Coding QAM Signals”, Information Theory, IEEE 44 (1998), 1848–1860.]. Thus, in this study, we introduce quantum error correcting codes over EJ-integers. This type of quantum codes may lead to codes with some new and good parameters." @default.
- W2903799547 created "2018-12-22" @default.
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- W2903799547 date "2018-12-01" @default.
- W2903799547 modified "2023-09-24" @default.
- W2903799547 title "On Bounds for Quantum Error Correcting Codes over EJ-Integers" @default.
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- W2903799547 doi "https://doi.org/10.1016/j.endm.2018.11.015" @default.
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