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Nonbinary quantum stabilizer codes

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2 Author(s)
Ashikhmin, A. ; Lucent Technol. Bell. Labs., Murray Hill, NJ, USA ; Knill, E.

We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between self-orthogonal codes over F4 and binary quantum codes to one between self-orthogonal codes over F(q2 ) and q-ary quantum codes for any prime power q

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Information Theory, IEEE Transactions on  (Volume:47 ,  Issue: 7 )