Group representations, error bases and quantum codes

This report continues the discussion of 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.

• Publication year

  1996

• Venue

  arXiv: Quantum Physics

• Publication date

  1996-08-29

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.2172/378680arXiv quant-ph/9608049
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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