发表机构
Mathematical Institute, University of Oxford; School of Physics, The University of Melbourne（牛津大学数学研究所; 墨尔本大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
ASPIRE算法利用纠缠几何和硬件连接性选择门来制备量子态，在长程纠缠态上实现更高保真度和更浅电路，适用于NISQ和早期容错设备。
AI 中文摘要
将数据加载到量子计算机中是威胁端到端量子优势的关键瓶颈。针对矩阵乘积态（MPS）等结构化态的量子电路编译器是管理量子化学、金融和多体量子模拟中这一问题的关键使能器。MPS的近似制备通常依赖于最近邻门的层叠顺序阶梯结构。我们提出自适应纠缠迭代移除态制备（ASPIRE）算法，该算法通过基于态的内在纠缠几何和目标量子处理器的可用连接性选择门来近似编译态制备电路。我们的协议对候选量子比特对的纠缠可移除性进行评分，并识别出移除最多纠缠的并行化长程门层。我们在多种设置下实证展示了该协议，证明了其在制备哈密顿量基态和多变量振幅编码函数方面的成功，并考虑了量子比特连接性、硬件噪声以及NISQ和早期容错设置。在整个过程中，对于具有长程纠缠的态，ASPIRE通常比现有方法实现更高的保真度和更浅的电路，即使考虑经典优化也是如此。我们的研究将ASPIRE定位为一种具有竞争力的、资源节约型的态制备协议，特别适用于对不完美保真度容忍的应用，如为量子相位估计制备引导态。
英文摘要
Loading data into quantum computers is a key bottleneck that threatens end-to-end quantum advantage. Quantum-circuit compilers for structured states like matrix product states (MPS) are a critical enabler to manage this in quantum chemistry, finance, and many-body quantum simulation. Approximate preparation of MPS typically relies on layered sequential staircases of nearest-neighbour gates. We present Adaptive State Preparation by Iterative Removal of Entanglement (ASPIRE), an algorithm that approximately compiles state-preparation circuits by selecting gates based on the state's underlying entanglement geometry and the available connectivity of the target quantum processor. Our protocol scores candidate qubit pairs on the removability of their entanglement and identifies layers of parallelised long-ranged gates that remove the most entanglement. We demonstrate our protocol empirically across a range of settings, illustrating its success for preparing Hamiltonian ground states and multivariate amplitude-encoded functions, and accounting for qubit connectivity, hardware noise, and both NISQ and early fault-tolerant settings. Throughout, ASPIRE typically achieves higher fidelities and shallower circuits than existing methods for states with long-ranged entanglement, even when classical optimisation is accounted for. Our investigation positions ASPIRE as a competitive, resource-frugal state-preparation protocol, with particular promise for applications tolerant to imperfect fidelity such as preparation of guide states for quantum phase estimation.
Comments34 pages, 11 figures
