A method for constructing a new class of quantum codes is proposed. In the method, properties of the extra-special matrix group are exploited. This class of codes is wider than that considered in [1–4] (CSS-codes). In particular, this class includes the one-error-correcting quantum “Hamming code” (which is not a CSS-code) of length n = 2 m , the number of elements in it being close to the maximum possible. The latter result is one of the main results of the paper.
Problems of Information Transmission – Springer Journals
Published: Oct 13, 2004
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