论文标题
部分可观测时空混沌系统的无模型预测
Optimizing the number of measurements for vibrational structure on quantum computers: coordinates and measurement schemes
论文作者
论文摘要
禁止证明近期设备实用量子优势的主要挑战之一,等于估计相关物理量(例如基态能量)的测量开销过多。但是,由于分子的电子和振动结构之间的主要差异,与其电子对应物相比,如何降低计算Anharmonic,振动状态的资源需求如何保持相对尚未探索。重要的是,玻感换向关系,可区分的希尔伯特空间和振动坐标允许对振动系统进行操纵,以最大程度地减少资源需求。在这项工作中,我们研究了不同坐标系和测量方案的影响对估计多种三模(六模式)分子估算过的振动状态所需的测量数量。我们证明了平均3倍(1.5倍),最多7倍(2.5倍),基于传统振动结构程序的Qubit Hamiltonians的自动化构造,使用适当的坐标转换所需的测量数量减少。
One of the primary challenges prohibiting demonstrations of practical quantum advantages for near-term devices amounts to excessive measurement overheads for estimating relevant physical quantities such as ground state energies. However, with major differences between the electronic and vibrational structure of molecules, the question of how the resource requirements of computing anharmonic, vibrational states can be reduced remains relatively unexplored compared to its electronic counterpart. Importantly, bosonic commutation relations, distinguishable Hilbert spaces and vibrational coordinates allow manipulations of the vibrational system that can be exploited to minimize resource requirements. In this work, we investigate the impact of different coordinate systems and measurement schemes on the number of measurements needed to estimate anharmonic, vibrational states for a variety of three-mode (six-mode) molecules. We demonstrate an average of 3-fold (1.5-fold), with up to 7-fold (2.5-fold), reduction in the number of measurements required by employing appropriate coordinate transformations, based on an automized construction of qubit Hamiltonians from a conventional vibrational structure program.