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Nonbinary Quantum Stabilizer Codes

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arxiv quant-ph/0005008 v1 pith:5UZLHH2V submitted 2000-05-01 quant-ph

Nonbinary Quantum Stabilizer Codes

classification quant-ph
keywords codesquantumnonbinaryselforthogonalstabilizerapproachbasesbinary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $GF_{4}$ and binary quantum codes to one between selforthogonal codes over $GF_{q^2}$ and $q$-ary quantum codes for any prime power $q$.

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Cited by 2 Pith papers

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    A review that defines Galois qudits over binary extension fields, their Clifford hierarchies, Pauli measurements, stabilizer tableaux, qubit mappings, and quantum Reed-Solomon codes.