Beyond Stabilizer Codes I: Nice Error Bases

Details Beyond Stabilizer Codes I: Nice Error Bases Beyond Stabilizer Codes I: Nice Error Bases

2000-10-23

arxiv.org/abs/quant-ph/0010082v2

Physics

Quantum Physics

12 pages, LaTeX2e. Minor changes. Title changed by request of IEEE Trans. IT

Scientific paper

Nice error bases have been introduced by Knill as a generalization of the
Pauli basis. These bases are shown to be projective representations of finite
groups. We classify all nice error bases of small degree, and all nice error
bases with abelian index groups. We show that in general an index group of a
nice error basis is necessarily solvable.

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