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Steane code : ウィキペディア英語版
Steane code
The Steane code is a tool in quantum error correction introduced by Andrew Steane in 1996. It is a perfect CSS code (Calderbank-Shor-Steane), using the classical binary self-dual () Hamming code to correct for qubit flip errors (X errors) and the dual of the Hamming code, the () code, to correct for phase flip errors (Z errors). The Steane code is able to correct arbitrary single qubit errors.
In the stabilizer formalism, the Steane code has 6 generators, and the check matrix in standard form is
:
\begin
H & 0 \\
0 & H
\end

where H is the parity-check matrix of the Hamming code and is given by
:
H = \begin
1 & 0 & 0 & 1 & 0 & 1 & 1\\
0 & 1 & 0 & 1 & 1 & 0 & 1\\
0 & 0 & 1 & 0 & 1 & 1 & 1
\end.

==References==

*

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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