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The quantum Hamming and Hexacodes
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DOI：10.1002/(SICI)1521-3978(199806)46:4/5<459::AID-PROP459>3.0.CO;2-H.png)
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摘要
En 中文
In this paper we present the relations between algebra and physics in the context of quantum error-correcting codes, showing the connection between Pauli matrices, finite fields, classical and quantum error-correcting codes. We show how to encode and especially decode (i.e., correct errors) quantum error-correcting codes. This is exemplarily demonstrated for the cyclic quantum Hamming code of length five and its extension, the quantum Hexacode.
Keyword:
ERROR-CORRECTING CODES
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