Nonadditive quantum error-correcting code

作者:Yu Sixia*; Chen Qing; Lai C H; Oh C H
来源:Physical Review Letters, 2008, 101(9): 090501.
DOI:10.1103/PhysRevLett.101.090501

摘要

We report the first nonadditive quantum error-correcting code, namely, a ((9, 12, 3)) code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors. Taking advantage of the graph states, we construct explicitly a complete encoding-decoding circuit for the proposed nonadditive error-correcting code.