Bounded-Error Quantum Simulation via Hamiltonian and Lindbladian Learning

Three data sets are uploaded. 1) State 1 and state 2 data sets are used in Hamiltonian learning and BEQS work. Data saved under " 2) DataHLBicL51Ions" is used for Hamiltonian learning with a 51 ion chain. 3) "NeelDataZ51" is used for BEQS with 51 ion chain. See readme file for more details. Corresponding data are used in the manuscript uploaded on arxiv https://arxiv.org/abs/2511.23392.本次上传共包含三个数据集。 1) 态1与态2数据集用于哈密顿量学习（Hamiltonian learning）与BEQS相关研究，数据存储路径未在文本中完整标注。 2) 数据集DataHLBicL51Ions用于51离子链的哈密顿量学习任务。 3) 数据集NeelDataZ51用于51离子链的BEQS任务，更多细节请参阅readme文件。 本研究使用的对应数据集已被收录于上传至arXiv平台的预印本稿件https://arxiv.org/abs/2511.23392中。