Clifford Code Constructions of Operator Quantum Error Correcting Codes
量子物理
2007-07-13 v2 信息论
math.IT
摘要
Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This note introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field.
引用
@article{arxiv.quant-ph/0604161,
title = {Clifford Code Constructions of Operator Quantum Error Correcting Codes},
author = {Andreas Klappenecker and Pradeep Kiran Sarvepalli},
journal= {arXiv preprint arXiv:quant-ph/0604161},
year = {2007}
}
备注
11 pages of character theory; minor changes, theorem 6 added