论文标题

超图产品代码的横向门的限制

Limitations on transversal gates for hypergraph product codes

论文作者

Burton, Simon, Browne, Dan

论文摘要

我们从一类概括地面代码的量子代码中分析了逻辑运算符的结构。这些是仅限于垂直部门的HyperGraph产品代码。通过概括Bravyi和König的论点,我们发现这些代码的横向门必须仅限于Clifford组。

We analyze the structure of the logical operators from a class of quantum codes that generalizes the surface codes. These are the hypergraph product codes, restricted to the vertical sector. By generalizing an argument of Bravyi and König, we find that transversal gates for these codes must be restricted to the Clifford group.

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