标题： 费米格点模型到伊辛求解器的映射 显示英文标题

标题： Mapping of Fermionic Lattice Models for Ising Solvers

摘要： 我们提出了一种端到端的、对称感知的流程，该流程将相互作用的费米子和量子自旋模型转换为可由退火器处理的QUBO，同时保留低能物理特性。 工作流程结合了Bravyi-Kitaev编码、精确的Z2对称性截断、Xia-Bian-Kais(XBK)对角化为仅Z形式，以及k局部到2局部的二次化，通过在所得Ising目标上的Dinkelbach不动点恢复基态能量。 我们在一个复杂度阶梯上验证了该方法：(i) 在D-Wave Advantage QPU上运行的受挫二维Ising模型再现了已知的铁磁-条纹转变；(ii) 一维Ising的有限温度检查恢复了标准的小尺寸趋势；(iii) 一个真正的量子自旋目标(XXZ)在小链上与精确对角化(ED)匹配；以及(iv) 一维(环L=2-8)中的相互作用费米子(t-V)表现出ED级别的能量，并在V/t ~ 2附近显示出预期的拐点，二维2x2簇在统一偏移范围内跟踪ED斜率。 复制因子研究量化了准确性与开销之间的权衡，在r ~ Nq之后误差减少一个数量级且收益递减。 除了经典Ising基准和分子基准外，实验使用了D-Wave的公共DIMOD和Neal模拟器；附录中的一个分子苯案例说明了超越晶格的可移植性。 结果确立了将量子物质映射到当前退火器的实用路径，并具有清晰的保真度、资源和嵌入调节参数。 显示英文摘要

摘要： We present an end-to-end, symmetry-aware pipeline that converts interacting fermionic and quantum-spin models into annealer-ready QUBOs while preserving low-energy physics. The workflow combines Bravyi-Kitaev encoding, exact Z2 symmetry tapering, Xia-Bian-Kais (XBK) diagonalization to a Z-only form, and k-local to 2-local quadratization, with ground energies recovered via a Dinkelbach fixed-point over the resulting Ising objective. We validate the approach across a complexity ladder: (i) a frustrated 2D Ising model run on a D-Wave Advantage QPU reproduces the known ferromagnet-stripe transition; (ii) finite-temperature checks on 1D Ising recover standard finite-size trends; (iii) a genuinely quantum spin target (XXZ) matches exact diagonalization (ED) on small chains; and (iv) interacting fermions (t-V) in 1D (rings L=2-8) show ED-level energies and the expected kink near V/t ~ 2, with a 2D 2x2 cluster tracking ED slopes up to a uniform offset. A replication-factor study quantifies the accuracy-overhead trade-off, with order-of-magnitude error reduction and diminishing returns beyond r ~ Nq. Except for the classical Ising benchmark and molecular benchmarks, experiments use D-Wave's public DIMOD and Neal simulators; a molecular benzene case in the appendix illustrates portability beyond lattices. The results establish a practical pathway for mapping quantum matter to current annealers, with clear knobs for fidelity, resources, and embedding.