Quantum tomography is the most informative tool for estimating the quality of preparation and transformation of quantum states. Its development is crucially necessary for debugging of developed quantum processors. Many existing methods of quantum tomography differ in types of performed measurements and in procedures of their processing. The practical implementation of quantum tomography requires the comparison of different methods, which is complicated because of the absence of a general methodology of estimation. A universal methodology based on numerical experiments has been proposed in this work to estimate the quality of quantum state tomography methods. The developed methodology has been applied to three quantum tomography methods (root approach, compressed sensing, and adaptive tomography) efficiently operating with almost pure states, which is relevant for the current technological foundation of the experiments.

中文翻译：

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纯和几乎纯量子态的层析成像方法的比较

量子层析成像是最有用的工具，可用来估计量子态的制备和转换质量。它的开发对于调试已开发的量子处理器至关重要。许多现有的量子层析成像方法在执行的测量类型及其处理程序方面有所不同。量子层析成像的实际实施需要比较不同的方法，由于缺乏通用的估算方法，因此比较复杂。在这项工作中提出了一种基于数值实验的通用方法，以估计量子态层析成像方法的质量。所开发的方法已应用于在几乎纯净状态下有效运行的三种量子层析成像方法（根方法，压缩传感和自适应层析成像），