论文标题

量子断层扫描基准测试

Quantum tomography benchmarking

论文作者

Bantysh, B. I., Chernyavskiy, A. Yu., Bogdanov, Yu. I.

论文摘要

量子计算机和模拟器的最新进展正在稳步带领我们迈向全尺寸量子计算设备。由于调试是创建任何计算设备所必需的事实,因此量子断层扫描(QT)是该路径上的关键里程碑。实际上,不同QT方法之间的选择面临缺乏比较方法。现代研究提供了广泛的QT方法,它们的应用领域以及实验和计算复杂性不同。在不同的条件下还将测试这种方法,并采用各种效率措施。此外,许多方法具有复杂的编程实现。因此,比较变得极为困难。在这项研究中,我们开发了一种比较量子状态断层扫描方法的通用方法。该方法基于对实现所需准确性所需资源的估计。我们已经开发了一个软件库(在Matlab和Python中),该库可以轻松地通过一系列数值实验来分析任何QT方法实现。这种模拟的条件是通过对应于实际物理实验的测试数量来设置的。作为对所提出的方法和软件的验证,我们分析并比较了一组QT方法。该分析揭示了一些特定方法的特征,并提供了该方法相对效率的估计。

Recent advances in quantum computers and simulators are steadily leading us towards full-scale quantum computing devices. Due to the fact that debugging is necessary to create any computing device, quantum tomography (QT) is a critical milestone on this path. In practice, the choice between different QT methods faces the lack of comparison methodology. Modern research provides a wide range of QT methods, which differ in their application areas, as well as experimental and computational complexity. Testing such methods is also being made under different conditions, and various efficiency measures are being applied. Moreover, many methods have complex programming implementations; thus, comparison becomes extremely difficult. In this study, we have developed a general methodology for comparing quantum state tomography methods. The methodology is based on an estimate of the resources needed to achieve the required accuracy. We have developed a software library (in MATLAB and Python) that makes it easy to analyze any QT method implementation through a series of numerical experiments. The conditions for such a simulation are set by the number of tests corresponding to real physical experiments. As a validation of the proposed methodology and software, we analyzed and compared a set of QT methods. The analysis revealed some method-specific features and provided estimates of the relative efficiency of the methods.

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