论文标题
量子代码的折叠式克利福德门
Fold-Transversal Clifford Gates for Quantum Codes
论文作者
论文摘要
我们通过考虑其中的某些双重性来概括从表面代码折叠到CSS代码的概念。特别是，这提供了一种通用方法，仅使用横向门和量子排列在适当的LDPC量子代码中实现逻辑操作。 为了证明我们的方法，我们特别考虑了称为Bring的代码的[30，8，3]]双曲量子代码。此外，我们表明，通过将Brand Code的逻辑子空间限制为四个量子位，我们可以在该子空间上获得完整的Clifford组。
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.
