论文标题
模拟分布式量子计算机上的时间演变
Simulating time evolution on distributed quantum computers
论文作者
论文摘要
我们研究了猪颈分解的变化，其中，两量价运算符指数的有序产物近似哈密顿的指数近似，因此对于少数术语而言，Trotter步长的尺寸增强了。这样的分解直接反映了分布式量子计算机的硬件约束，在这种分布式量子计算机上，与使用互连的单独节点相比，整体量子设备上的操作与纠缠分布相比很快。我们模拟了横向场ISIN和XY自旋链模型的非平衡动力学，并研究了与量子互连越来越稀疏使用相关的局部增加的猪跑步阶段大小的影响。我们发现近似的总体质量取决于局部稀疏性，并且局部错误的扩散很慢。结果，我们表明，即使在使用互连的分布式量子计算机上，可以利用整体设备上的快速本地操作，以获得总体改进的结果保真度。
We study a variation of the Trotter-Suzuki decomposition, in which a Hamiltonian exponential is approximated by an ordered product of two-qubit operator exponentials such that the Trotter step size is enhanced for a small number of terms. Such decomposition directly reflects hardware constraints of distributed quantum computers, where operations on monolithic quantum devices are fast compared to entanglement distribution across separate nodes using interconnects. We simulate non-equilibrium dynamics of transverse-field Ising and XY spin chain models and investigate the impact of locally increased Trotter step sizes that are associated with an increasingly sparse use of the quantum interconnect. We find that the overall quality of the approximation depends smoothly on the local sparsity and that the proliferation of local errors is slow. As a consequence, we show that fast local operations on monolithic devices can be leveraged to obtain an overall improved result fidelity even on distributed quantum computers where the use of interconnects is costly.
