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Group Representations, Error Bases and Quantum Codes

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arxiv quant-ph/9608049 v1 pith:4EEHR7YC submitted 1996-08-29 quant-ph

Group Representations, Error Bases and Quantum Codes

E. Knill This is my paper
classification quant-ph
keywords basescodeserrorquantumgroupobtainingtermsunitary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This report continues the discussion of unitary error bases and quantum codes begun in "Non-binary Unitary Error Bases and Quantum Codes". Nice error bases are characterized in terms of the existence of certain characters in a group. A general construction for error bases which are non-abelian over the center is given. The method for obtaining codes due to Calderbank et al. is generalized and expressed purely in representation theoretic terms. The significance of the inertia subgroup both for constructing codes and obtaining the set of transversally implementable operations is demonstrated.

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Cited by 3 Pith papers

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