论文标题
立方相口不适合在GKP状态上的非克利福德操作
Cubic phase gates are not suitable for non-Clifford operations on GKP states
论文作者
论文摘要
借助Gottesman-Kitaev-Preskill（GKP）编码，Clifford Gates和错误校正可以使用简单的高斯操作进行。尽管如此，普遍性所需的非克利福德门需要非高斯元素。在他们的原始建议中，GKP提出了一种特别简单的方法，即使用立方相位门的单个应用来执行逻辑非clifford t-gate。在这里，我们表明，这种立方相门方法的性能表现出色，即使是在GKP状态下任意大量挤压的。因此，与共同的信念相反，立方相位门不适合使用GKP状态实现通用耐断层的量子计算。
With the Gottesman-Kitaev-Preskill (GKP) encoding, Clifford gates and error correction can be carried out using simple Gaussian operations. Still, non-Clifford gates, required for universality, require non-Gaussian elements. In their original proposal, GKP suggested a particularly simple method of using a single application of the cubic phase gate to perform the logical non-Clifford T-gate. Here we show that this cubic phase gate approach performs extraordinarily poorly, even for arbitrarily large amounts of squeezing in the GKP state. Thus, contrary to common belief, the cubic phase gate is not suitable for achieving universal fault-tolerant quantum computation with GKP states.
