Nonbinary Quantum Stabilizer Codes
Alexei Ashikhmin, Emanuel Knill
Abstract
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over GF4 and binary quantum codes to one between selforthogonal codes over GFq2 and q-ary quantum codes for any prime power q.
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