arXiv cs.AI· Sanim Yousuf Fahim, Mohammad Arif Hossain·· 10 小时前AI 评分31
超越平均差距：转移角度 QAOA 在超导处理器上保留了什么
Beyond the Mean Gap: What Transferred-Angle QAOA Retains on a Superconducting Processor
AI 导读
研究在 IBM Heron 处理器 ibm_marrakesh 上运行深度-2、转移角度 QAOA 电路，检验全局去极化噪声下均值归一化差距与最优比特串概率应保留相同比例无噪声改进的预测。12 量子比特下主族电路保留了 29% 至 46% 的平均差距改进，但最优解概率仅保留 5% 至 15%，每次运行十个实例中至少九个更低。设备匹配噪声模型复现了该模式，却将最优解保留率高估了 5 至 8 倍。
正文 · 原文
Abstract:Hardware executions of the quantum approximate optimization algorithm (QAOA) are often validated by comparing the device's mean cost with a simulation, a check that can miss what matters for optimization. Under global depolarization, the mean normalized gap and the floor-corrected probability of every set of bitstrings, the optimum included, retain the same fraction of their noiseless improvement over uniform sampling. We test this prediction with depth-2, transferred-angle QAOA circuits for binary subproblems of an alternating-direction decomposition on the IBM Heron processor \texttt{ibm\_marrakesh}, with and without dynamical decoupling and twirling. At 12 qubits, the main-family circuits retained 29\% to 46\% of their mean-gap improvement but only 5\% to 15\% of their probability of the optimum, lower on at least nine of ten instances per run. Near-optimal bitstrings were lost about as much as the optimum, whereas the avoidance of poor bitstrings was retained best. In the first submission, a device-matched noise model reproduced the pattern but overestimated the retention of the optimum five- to eightfold. On a rugged planted family, the device found the optimum in 62\% of 768-shot blocks (noiseless: 98\%), within the range of local heuristics. Validations of optimization circuits should report retention of the optimum and of near-optimal sets.
| Subjects: | Quantum Physics (quant-ph); Artificial Intelligence (cs.AI) |
| Cite as: | arXiv:2611.10529 [quant-ph] |
| (or arXiv:2611.10529v2 [quant-ph] for this version) | |
| https://doi.org/10.48550/arXiv.2611.10529 arXiv-issued DOI via DataCite |
Submission history
From: Mohammad Arif Hossain [view email]
[v1]
Sat, 7 Nov 2026 07:00:23 UTC (214 KB)
[v2]
Tue, 10 Nov 2026 18:42:54 UTC (214 KB)
来源：arXiv cs.AI · arxiv.org