论文标题
具有边界的颜色代码的解码器
A Decoder for the Color Code with Boundaries
论文作者
论文摘要
我们引入了一个带有边界的3D颜色代码的解码器，这是Kubicka和Delfosse引入的限制解码器的变体。具体而言，我们调整了升力程序，以有效地找到与边界相邻的量子位的校正。我们从数值上估计Pauli $ x $错误的售价为$ 4 \％-8 \％$，Pauli $ z $错误的阈值$ x $误差为$ 0.7 \％-0.8 \％$。我们的工作是表征Bombín最近提出的“五颜六色量子计算”的第一步。
We introduce a decoder for the 3D color code with boundaries, which is a variation of the restriction decoder introduced by Kubicka and Delfosse. Specifically, we adapt the lift procedure to efficiently find a correction on qubits adjacent to a boundary. We numerically estimate a threshold of $4\% - 8\%$ for Pauli $X$ errors and a threshold of $0.7\% - 0.8\%$ for Pauli $Z$ errors. Our work is a first step towards characterizing the performance of Bombín's recently proposed "colorful quantum computing."
