论文标题
光纤束代码：打破$ n^{1/2} \ operatorName {polylog}（n）Quantum LDPC代码的$屏障
Fiber Bundle Codes: Breaking the $N^{1/2} \operatorname{polylog}(N)$ Barrier for Quantum LDPC Codes
论文作者
论文摘要
我们提出一个具有距离$ω（n^{3/5}/\ operatotorName {polylog}（n））的量子LDPC代码家族$和$ \tildeθ（n^{3/5}）$逻辑Qubits。这是第一个实现距离大于$ n^{1/2} \ operatatorName {polylog}（n）$的距离的量子LDPC代码构建。该结构基于将代码的同源产品推广到纤维束。
We present a quantum LDPC code family that has distance $Ω(N^{3/5}/\operatorname{polylog}(N))$ and $\tildeΘ(N^{3/5})$ logical qubits. This is the first quantum LDPC code construction which achieves distance greater than $N^{1/2} \operatorname{polylog}(N)$. The construction is based on generalizing the homological product of codes to a fiber bundle.
