We propose quantum circuits to test interferometric complementarity using symmetric two-way interferometers coupled to a which-path detector. First, we consider the two-qubit setup in which the controlled transfer of path information to the detector subsystem depletes interference on the probed subspace, testing the visibility-distinguishability tradeoff via minimum-error state discrimination measurements. Next, we consider the quantum eraser setup, in which reading out path information in the right basis recovers an interference pattern. These experiments are then carried out in an IBM superconducting transmon processor. A detailed analysis of the results is provided. Despite finding good agreement with theory at a coarse level, we also identify small but persistent systematic deviations preventing the observation of full particlelike and wavelike statistics. We understand them by carefully modeling two-qubit gates, showing that even small coherent errors in their implementation preclude the observation of Bohr's strong formulation of complementarity.

中文翻译：

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在 transmon 量子处理器上测试互补性

我们提出了量子电路来使用耦合到 which-path 检测器的对称双向干涉仪来测试干涉互补性。首先，我们考虑双量子位设置，其中路径信息到检测器子系统的受控传输消除了对探测子空间的干扰，通过最小错误状态鉴别测量测试可见性-可区分性权衡。接下来，我们考虑量子擦除器设置，其中在正确的基础上读取路径信息可以恢复干涉图样。这些实验随后在 IBM 超导 transmon 处理器中进行。提供了对结果的详细分析。尽管在粗略的层面上与理论有很好的一致性，我们还发现了微小但持续的系统偏差，妨碍了对完整粒子状和波状统计的观察。我们通过对双量子位门进行仔细建模来理解它们，表明即使在它们的实现中出现很小的相干错误，也无法观察到玻尔的强互补性公式。