Quantum error mitigation in quantum annealing : General access Advantage2 kink-density and kink-correlators

Overview General access Advantage2 kink density and kink correlators as a function of anneal duration and coupling strength. This data is relevant to a second version of the paper "Quantum error mitigation in quantum annealing" currently under journal review, an earlier preprint with comparable data at smaller scale is here https://arxiv.org/abs/2311.01306 . A single file kink_density.csv demonstrates kink density for various anneal durations (ta) and coupling strengths (J).The kink value per-site per-read is k_i = (1 - s_i s_{i+1})/2, s_i denotes the state of spin i.Kink density is estimated as k = <k_i>, where <> denotes a per-programming site (i=0, .., 1023) and 1000-sample (read-out) average.Mean and variance are given with respect to repeated programmings (number of programmings is either 5 or 160 as indicated).See paper methods. For each ta and J relevant to the paper a csv is provided for kink correlations as a function of displacement r = 0, .., 1023.Kink correlations are estimated as C(r) = <k_i k_{i+r}>/k^2 - 1, where k is the kink density and <> denotes a per-programming site (i = 0 , .., 1023) and 1000-sample (read-out) average.Mean and variance are given with respect to 160 repeated programmings.See paper methods. Acknowledgements We would like to thank Gonzalo Alvarez, Daniel Lidar, Hidetoshi Nishimori and Marek Rams for fruitful discussions and comments on the manuscript. This research used resources from the Oak Ridge Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725. Work at UBC was supported by the NSERC Alliance Quantum Program (Grant ALLRP-578555), CIFAR, and the Canada First Research Excellence Fund, Quantum Materials, and Future Technologies Program. The work of Jacek Dziarmaga was supported by the National Science Center (NCN), Poland, under project 2021/03/Y/ST2/00184 within the QuantERA II Program that has received funding from the European Union’s Horizon 2020 research and innovation program under Grant Agreement No 101017733.## 概述 本数据集公开可用，包含Advantage2平台下，扭结密度（kink density）与扭结关联函数（kink correlators）随退火时长（anneal duration）与耦合强度（coupling strength）变化的结果。 本数据集对应目前正在期刊审稿阶段的论文《量子退火中的量子误差缓解（"Quantum error mitigation in quantum annealing"）》的第二版，此前一篇包含小规模同类数据的预印本（preprint）可访问于https://arxiv.org/abs/2311.01306。 单个文件`kink_density.csv`给出了不同退火时长（记为$t_a$）与耦合强度（记为$J$）下的扭结密度。单读取位点的单自旋（spin）扭结值定义为$k_i = frac{1 - s_i s_{i+1}}{2}$，其中$s_i$表示自旋$i$的量子态。扭结密度通过$k = langle k_i angle$估算，其中$langle cdot angle$代表对所有编程位点（programming site，$i=0,1,dots,1023$）与1000次读出采样（read-out）取平均。结果同时给出了重复编程下的均值与方差，重复编程次数为5或160，具体标注于数据中。详见论文方法部分。 针对论文中涉及的每一组$t_a$与$J$，均提供了对应扭结关联函数随位移量$r=0,1,dots,1023$变化的csv文件。扭结关联函数通过$C(r) = frac{langle k_i k_{i+r} angle}{k^2} - 1$估算，其中$k$为扭结密度，$langle cdot angle$代表对所有编程位点（$i=0,1,dots,1023$）与1000次读出采样取平均。结果给出了160次重复编程下的均值与方差。详见论文方法部分。 ## 致谢 我们感谢Gonzalo Alvarez、Daniel Lidar、Hidetoshi Nishimori与Marek Rams为本文手稿提供的富有成果的讨论与修改建议。本研究使用了橡树岭领导力计算设施（Oak Ridge Leadership Computing Facility, OLCF）的资源，该设施是美国能源部科学办公室用户设施，受合同DE-AC05-00OR22725支持。不列颠哥伦比亚大学（UBC）的研究工作得到了加拿大自然科学与工程研究委员会（NSERC）联盟量子计划（项目编号ALLRP-578555）、加拿大高等研究院（CIFAR）以及加拿大第一研究卓越基金量子材料与未来技术计划的资助。Jacek Dziarmaga的研究得到了波兰国家科学中心（NCN）项目2021/03/Y/ST2/00184的支持，该项目隶属于QuantERA II计划，该计划获欧盟地平线2020研究与创新计划资助，资助协议编号101017733。