arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2201.07806quant-phcond-mat.str-el
收藏

使用 color code 的低开销量子计算

Low-overhead quantum computing with the color code

Felix Thomsen, Markus S. Kesselring, Stephen D. Bartlett, Benjamin J. Brown

AI总结:

提出一种基于 color code 的 lattice surgery 方案,通过并行执行交换逻辑 Pauli 测量降低空间成本,在相同码距下相比 surface code 实现约 $3\ imes$ 的时空开销改进。

摘要:

容错量子计算需要大量资源:在存在噪声的情况下执行逻辑门时,必须反复检查大量物理量子比特的错误以保护量子数据。我们证明,与常规方法相比,基于 color code 的方法可以大幅减少资源开销,同时保持与二维布局的兼容性。我们提出了一种 lattice surgery 方案,利用 color code 相的丰富结构,在保持低空间成本的同时并行执行任意对交换的逻辑 Pauli 测量。与基于相同码距的 surface code 的 lattice surgery 方案相比,我们的方法在时空开销上实现了约 $3\ imes$ 的改进,这来自于 $1.5\ imes$ 的空间开销改进以及由于交换逻辑测量并行化带来的 $2\ imes$ 加速。即使考虑到当前解码器下 color code 较低的错误阈值,在物理错误率为 $10^{-3}$ 时开销降低了 10%,在 $10^{-4}$ 时降低了 50%。

英文摘要:

Fault-tolerant quantum computation demands significant resources: large numbers of physical qubits must be checked for errors repeatedly to protect quantum data as logic gates are implemented in the presence of noise. We demonstrate that an approach based on the color code can lead to considerable reductions in the resource overheads compared with conventional methods, while remaining compatible with a two-dimensional layout. We propose a lattice surgery scheme that exploits the rich structure of the color-code phase to perform arbitrary pairs of commuting logical Pauli measurements in parallel while keeping the space cost low. Compared to lattice surgery schemes based on the surface code with the same code distance, our approach yields about a $3\times$ improvement in the space-time overhead, obtained from a combination of a $1.5\times$ improvement in spatial overhead together with a $2\times$ speedup due to the parallelisation of commuting logical measurements. Even when taking into account the color code's lower error threshold using current decoders, the overhead is reduced by 10\% at a physical error rate of $10^{-3}$ and by 50\% at $10^{-4}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑