Remarks on Clifford codes

Details Remarks on Clifford codes Remarks on Clifford codes

2003-12-31

arxiv.org/abs/quant-ph/0312228v1

Physics

Quantum Physics

10 pages; submitted to Quantum Information and Computation

Scientific paper

Clifford codes are a class of quantum error control codes that form a natural generalization of stabilizer codes. These codes were introduced in 1996 by Knill, but only a single Clifford code was known, which is not already a stabilizer code. We derive a necessary and sufficient condition that allows to decide when a Clifford code is a stabilizer code, and compile a table of all true Clifford codes for error groups of small order.

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