论文标题

在QAOA电路中表征本地噪音

Characterizing local noise in QAOA circuits

论文作者

Marshall, Jeffrey, Wudarski, Filip, Hadfield, Stuart, Hogg, Tad

论文摘要

最近Xue等。 [ARXIV:1909.02196]在数值上证明了QAOA性能在某些物理噪声模型下的噪声量变化。在此简短说明中,我们对这种行为的起源进行了更深入的分析。特别是,我们就噪声速率,系统大小和电路深度提供了一个近似的封闭式方程式。作为应用程序,我们表明这些方程式可以准确地模拟较大的电路之间的权衡,这些电路的成本值更高,而牺牲了由于噪声而导致更大的退化。

Recently Xue et al. [arXiv:1909.02196] demonstrated numerically that QAOA performance varies as a power law in the amount of noise under certain physical noise models. In this short note, we provide a deeper analysis of the origin of this behavior. In particular, we provide an approximate closed form equation for the fidelity and cost in terms of the noise rate, system size, and circuit depth. As an application, we show these equations accurately model the trade off between larger circuits which attain better cost values, at the expense of greater degradation due to noise.

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