According to Bohr's principle of complementarity, a quanton can behave either as a wave or a particle, depending on the choice of the experimental setup. Some recent two-path interference experiments have devised methods where one can have a quantum superposition of the two choices, thus indicating that a quanton may be in a superposition of wave and particle natures. These experiments have been of interest from the point of view of Wheeler's delayed-choice experiment. However, it has also been claimed that this experiment can violate complementarity. Here we theoretically analyze a multipath interference experiment that has a which-path detector in a quantum superposition of being present and absent. We show that a tight multipath wave-particle duality relation is respected in all such situations, and complementarity holds well. The apparent violation of complementarity may be due to incorrect evaluation of path distinguishability in such scenarios.

中文翻译：

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量子叠加中具有路径检测器的多路径波粒对偶

根据玻尔的互补原理，根据实验设置的选择，一个量子子可以表现为波浪或​​粒子。最近的一些两径干涉实验已经设计出一种方法，其中一种方法可以使两种选择具有量子叠加，从而表明一个量子子可能处于波和粒子性质的叠加中。从惠勒的延迟选择实验的观点来看，这些实验是令人感兴趣的。但是，也有人声称该实验可能违反互补性。在这里，我们从理论上分析了一个多径干扰实验，该实验在量子叠加中存在和不存在哪个路径检测器。我们证明在所有这样的情况下都遵循紧密的多径波粒对偶关系，并且互补性很好。