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Quantum error correction via codes over GF (4). (English) Zbl 0982.94029
Summary: The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) that are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.

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94B60Other types of codes
81P68Quantum computation
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