Fundamentally contradictory but inescapably joined dual attributes, wave and particle, remain a conceptually unsettling element at the heart of quantum mechanics. It was a career-long unanswered challenge for Bohr to rationalize quantum duality. The conceptual dilemma it presents has remained an open issue, a topic of continued discussion, ever since. Here we report the discovery of an experimentally manageable route to control the weirdness of duality. Ironically, entanglement, the other conceptually challenging weirdness of quantum theory, will be shown to be in control of duality. We establish a simple identity through which entanglement prescribes quantitatively the degree of duality, of combined waveness and particleness, that can be recorded in any one-quantum two-path coherence experiment.

中文翻译：

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纠缠限制了对偶，反之亦然

从根本上来说是矛盾的，但不可避免地结合了双重属性，即波和粒子，仍然是量子力学的核心概念上令人不安的元素。对于玻尔来说，使量子对偶合理化是一个职业生涯未曾解决的挑战。从那时起，它提出的概念难题一直是一个悬而未决的问题，是一个持续讨论的话题。在这里，我们报告发现了一种通过实验可管理的途径来控制对偶性的怪异性。具有讽刺意味的是，纠缠是量子理论中另一种在概念上具有挑战性的怪异现象，将显示出对偶性的控制。我们建立了一个简单的身份，通过它纠缠定量地规定了可在任何单量子两径相干实验中记录的对偶度，结合的波度和颗粒度。