Qureshi Tabish
Opt Lett. 2021 Feb 1;46(3):492-495. doi: 10.1364/OL.415556.
Recent times have seen a spurt of research activity focused on "completing" certain wave-particle duality relations using entanglement or polarization. These studies use a duality relation involving path-predictability, and not path-distinguishability. Quantum origins of these results are explored here, in the more general framework of multipath quantum interference. Multipath interference with a path-detector is theoretically analyzed to find the connection between predictability and distinguishability. It is shown that entanglement is what quantitatively connects distinguishability with predictability. Thus, a duality relation between distinguishability and coherence can also be viewed as a triality between predictability, entanglement, and coherence. There exist two different kinds of duality relations in the literature, which pertain to two different kinds of interference experiments, with or without a path-detector. Results of this study show that the two duality relations are quantitatively connected via entanglement. The roots of the new, to the best of our knowledge, results in the classical optical domain, including the polarization coherence theorem, can be understood in the light of this work.
近年来，涌现出了一系列研究活动，其重点是利用纠缠或极化来“完善”某些波粒二象性关系。这些研究使用的是一种涉及路径可预测性而非路径可区分性的二象性关系。本文在多路径量子干涉的更一般框架下探讨了这些结果的量子起源。对带有路径探测器的多路径干涉进行了理论分析，以找出可预测性与可区分性之间的联系。结果表明，纠缠是在数量上把可区分性与可预测性联系起来的因素。因此，可区分性与相干性之间的二象性关系也可视为可预测性、纠缠与相干性之间的三象性关系。文献中存在两种不同类型的二象性关系，它们分别与有或没有路径探测器的两种不同类型的干涉实验相关。本研究结果表明，这两种二象性关系通过纠缠在数量上相互联系。据我们所知，这项工作有助于理解新结果在经典光学领域的根源，包括偏振相干定理。
