This paper presents classical benchmark simulations of a practical hybrid decoding scheme for parity-encoded spin systems, which is well-suited to the development of quantum annealing devices based on on-chip superconducting technology. We compared the performance of finding the optimal solution using two embedding schemes for emulating all-to-all connectivity from local interactions: the SLHZ model, proposed by Sourlas, Lechner, Hauke, and Zoller, and the commonly used minor embedding (ME) scheme. We found that the SLHZ scheme is more efficient than the ME scheme when combined with postreadout classical decoding based on the classical bit-flipping algorithm, although the SLHZ scheme itself is substantially less efficient than the ME scheme.

翻译：本文呈现了一种实用混合解码方案在奇偶编码自旋系统中的经典基准仿真，该方案特别适用于基于片上超导技术发展的量子退火设备。我们比较了两种用于从局域相互作用模拟全连通拓扑的嵌入方案在寻找最优解方面的性能：由Sourlas、Lechner、Hauke和Zoller提出的SLHZ模型，以及常用的minor嵌入（ME）方案。研究发现，当结合基于经典比特翻转算法的后读出解码时，SLHZ方案比ME方案更高效，尽管SLHZ方案本身效率远低于ME方案。