Abstract

The process of quantum tomography of polarization-entangled photon pairs was simulated on quantum computers of different generations of the IBM Q Experience platform. The simulation was carried out for all four two-qubit Bell states. It turned out that the contribution of basis states that are absent in Bell states does not exceed 10\(\%\) even on quantum computers of the first generations, and is reduced to several percent on quantum computers of the latest generation. The simulation quality was evaluated using Fidelity. The Fidelity values were in a range of 68.6–94.9\(\%\), depending on the generation of computers. It was shown that for Bell states Fidelity can be calculated using three tomographic measurements instead of the nine required for determination of the density matrix using quantum state tomography.

中文翻译：

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在量子计算机上模拟双光子偏振态的量子断层扫描过程

摘要

偏振纠缠光子对的量子断层扫描过程在不同代 IBM Q Experience 平台的量子计算机上进行模拟。对所有四个双量子比特贝尔态进行了模拟。结果表明，即使在第一代量子计算机上，贝尔态中不存在的基态的贡献也不超过 10 \(\%\)，而在最新一代的量子计算机上，其贡献减少到几个百分点。使用 Fidelity 评估模拟质量。保真度值在 68.6–94.9 \(\%\)，取决于计算机的世代。结果表明，对于贝尔态，可以使用三个断层扫描测量来计算保真度，而不是使用量子态断层扫描确定密度矩阵所需的九个。