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arXiv 0709.3875quant-ph
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存在X/Z不对称时的纠错优化

Error correction optimisation in the presence of X/Z asymmetry

Z. W. E. Evans, A. M. Stephens, J. H. Cole, L. C. L. Hollenberg

摘要:

通过考虑量子误差的物理性质,有可能提高量子纠错的效率。在这里,我们考虑对传统的量子纠错的优化,其涉及通过降低X校正的速率来利用X和Z错误的速率中的不对称性。作为一个例子,我们将这种优化应用于[[7,1,3]]码,并与传统的量子纠错进行了比较。经过两个级别的级联纠错,我们证明了至少43%的电路深度减少和至少67%的故障率减少。这种改进不需要额外的资源,并且所需的误差不对称性可能存在于大多数物理量子计算机架构中。

英文摘要:

By taking into account the physical nature of quantum errors it is possible to improve the efficiency of quantum error correction. Here we consider an optimisation to conventional quantum error correction which involves exploiting asymmetries in the rates of X and Z errors by reducing the rate of X correction. As an example, we apply this optimisation to the [[7,1,3]] code and make a comparison with conventional quantum error correction. After two levels of concatenated error correction we demonstrate a circuit depth reduction of at least 43% and reduction in failure rate of at least 67%. This improvement requires no additional resources and the required error asymmetry is likely to be present in most physical quantum computer architectures.

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