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- W2247709253 abstract "We define and study parafermion stabilizer codes, which can be viewed as generalizations of Kitaev's one-dimensional (1D) model of unpaired Majorana fermions. Parafermion stabilizer codes can protect against low-weight errors acting on a small subset of parafermion modes in analogy to qudit stabilizer codes. Examples of several smallest parafermion stabilizer codes are given. A locality-preserving embedding of qudit operators into parafermion operators is established that allows one to map known qudit stabilizer codes to parafermion codes. We also present a local 2D parafermion construction that combines topological protection of Kitaev's toric code with additional protection relying on parity conservation." @default.
- W2247709253 created "2016-06-24" @default.
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- W2247709253 date "2015-03-02" @default.
- W2247709253 modified "2023-09-26" @default.
- W2247709253 title "Parafermion stabilizer codes" @default.
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