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- W1994706520 abstract "We define and study parafermion stabilizer codes which can be viewed as generalizations of Kitaev's one dimensional 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 which 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.
- W1994706520 created "2016-06-24" @default.
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- W1994706520 date "2014-10-21" @default.
- W1994706520 modified "2023-10-13" @default.
- W1994706520 title "Parafermion stabilizer codes" @default.
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- W1994706520 doi "https://doi.org/10.1103/physreva.90.042326" @default.
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