Today’s quantum computers offer the possibility of performing real-time calculations for quantum field theory scattering processes motivated by high energy physics. In order to follow the successful roadmap which has been established for the calculation of static properties at Euclidean time, it is crucial to develop new algorithmic methods to deal with the limitations of current noisy intermediate-scale quantum (NISQ) devices and to establish quantitative measures of the progress made with different devices. In this paper, we report recent progress in these directions. We show that nonlinear aspects of the trotter errors allow us to take much larger step then suggested by low-order analysis. This is crucial to reach physically relevant time scales with today’s NISQ technology. We propose to use an index averaging absolute values of the difference between the accurately calculated trotter evolution of site occupations and their actual measurements on NISQ machines (G index) as a measure to compare results that have been obtained from different hardware platforms. Using the transverse Ising model in one spatial dimension with four sites we apply this metric across several hardware platforms. We study the results including readout mitigation and Richardson extrapolations and show that the mitigated measurements are very effective based on the analysis of the trotter step size modifications. We discuss how this advance in the trotter step size procedures can improve quantum computing physics scattering results and how this technical advance can be applied to other machines and noise mitigation methods.

今天的量子计算机提供了对由高能物理学驱动的量子场论散射过程进行实时计算的可能性。为了遵循为计算欧几里得时间的静态属性而建立的成功路线图，开发新的算法方法来处理当前嘈杂的中尺度量子 (NISQ) 设备的局限性并建立量化措施至关重要使用不同设备取得的进展。在本文中，我们报告了这些方向的最新进展。我们表明 trotter 误差的非线性方面允许我们采取比低阶分析建议的更大的步骤。这对于使用当今的 NISQ 技术达到与物理相关的时间尺度至关重要。G指数）作为比较从不同硬件平台获得的结果的度量。在具有四个站点的一个空间维度中使用横向 Ising 模型，我们将该度量应用于多个硬件平台。我们研究了包括读出缓解和理查森外推在内的结果，并表明基于 trotter 步长修改的分析，缓解的测量非常有效。我们讨论了 trotter 步长程序的这种进步如何改善量子计算物理散射结果，以及这种技术进步如何应用于其他机器和降噪方法。