Nonadditive Quantum Error-Correcting Code

Date: 2008-08-29
Authors Sixia Yu, Qing Chen, C. H. Lai, and C. H. Oh
Journal No. Phys. Rev. Lett. 101, 090501 (2008)
Abstract 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.