Gnu code: Difference between revisions

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L for logical
variable like
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{{about||the open-source software development project|GNU coding standards}}
 
In [[quantum information]], the '''''gnu'' code''' refers to a particular family of [[quantum error correction|quantum error correcting codes]], with the special property of being invariant under [[permutations]] of the qubits. Given integers ''g'' (the ''gap''), ''n'' (the occupancy), and ''m'' (the length of the code), the two codewords are
 
:<math>|0_{\rm L}\rangle = \sum_{\ell\, \textrm{even}\atop 0\le\ell\le n} \sqrt{\frac{{n\choose \ell}}{2^{n-1}}} |D^m_{g\ell}\rangle</math>