We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical operations in suitable LDPC quantum codes using transversal gates and qubit permutations only.
To demonstrate our approach, we specifically consider a [[30, 8, 3]] hyperbolic quantum code called Bring's code. Further, we show that by restricting the logical subspace of Bring's code to four qubits, we can obtain the $full$ Clifford group on that subspace.

中文翻译：

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用于量子代码的横向折叠克利福德门


通过考虑其中的某些二元性，我们将折叠的概念从表面代码推广到 CSS 代码。特别是，这给出了仅使用横向门和量子位排列在合适的 LDPC 量子码中实现逻辑运算的通用方法。

为了演示我们的方法，我们特别考虑了一个 [[30, 8, 3]] 双曲量子代码，称为 Bring 代码。此外，我们表明，通过将 Bring 代码的逻辑子空间限制为四个量子位，我们可以获得该子空间上的 $full$ Clifford 群。