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- W4297788796 abstract "Due to their fast decoding algorithms, quantum generalizations of low-density parity check, or LDPC, codes have been investigated as a solution to the problem of decoherence in fragile quantum states. However, the additional twisted inner product requirements of quantum stabilizer codes force four-cycles and eliminate the possibility of randomly generated quantum LDPC codes. Moreover, the classes of quantum LDPC codes discovered thus far generally have unknown or small minimum distance, or a fixed rate. This paper presents several new classes of quantum LDPC codes constructed from finite projective planes. These codes have rates that increase with the block length $n$ and minimum weights proportional to $n^{1/2}$." @default.
- W4297788796 created "2022-10-01" @default.
- W4297788796 creator A5062752716 @default.
- W4297788796 date "2012-07-03" @default.
- W4297788796 modified "2023-10-14" @default.
- W4297788796 title "Quantum LDPC Codes Constructed from Point-Line Subsets of the Finite Projective Plane" @default.
- W4297788796 doi "https://doi.org/10.48550/arxiv.1207.0732" @default.
- W4297788796 hasPublicationYear "2012" @default.
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