Title :
Nonbinary quantum stabilizer codes
Author :
Ashikhmin, Alexei ; Knill, Emanuel
Author_Institution :
Lucent Technol. Bell. Labs., Murray Hill, NJ, USA
fDate :
11/1/2001 12:00:00 AM
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 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
Keywords :
Galois fields; binary codes; quantum communication; binary quantum codes; coding theory; encoding algorithms; nonbinary error bases; nonbinary quantum stabilizer codes; q-ary quantum codes; self-orthogonal codes; Algorithm design and analysis; Code standards; Encoding; Fault tolerance; Galois fields; Linear code; Quantum computing; Quantum mechanics; Rain; Relativistic quantum mechanics;
Journal_Title :
Information Theory, IEEE Transactions on
