General conditions for approximate quantum error correction and near-optimal recovery channels.
General conditions for approximate quantum error correction and near-optimal recovery channels.
复制标题
近似量子纠错和接近最优恢复通道的一般条件。
DOI：
--
复制
发表时间：
2009
影响因子：
8.6
通讯作者：
O. Oreshkov
中科院分区：
文献类型：
--
作者：
C. Bény;O. Oreshkov
我们推导出量子码近似可纠错的充分必要条件，推广了精确纠错的Knill-Laflamme条件。我们衡量恢复操作成功的标准是最坏情况下的纠缠保真度。我们表明，最佳的恢复保真度可以准确地预测从一个双重优化问题的环境造成的噪音。我们使用这个结果来获得最佳恢复保真度的估计，以及一种方法来构建一类接近最佳的恢复通道，工作在两倍的最小误差。除了标准的子空间码，我们的结果举行子系统码和混合量子经典码。
We derive necessary and sufficient conditions for the approximate correctability of a quantum code, generalizing the Knill-Laflamme conditions for exact error correction. Our measure of success of the recovery operation is the worst-case entanglement fidelity. We show that the optimal recovery fidelity can be predicted exactly from a dual optimization problem on the environment causing the noise. We use this result to obtain an estimate of the optimal recovery fidelity as well as a way of constructing a class of near-optimal recovery channels that work within twice the minimal error. In addition to standard subspace codes, our results hold for subsystem codes and hybrid quantum-classical codes.