Predictability, distinguishability, and entanglement

Recent times have seen a spurt of research activity focused on "completing" certain wave-particle duality relations using entanglement or polarization. These studies use relation involving path-predictability, and not path-distinguishability. Quantum origins these results are explored here, in the more general framework multipath quantum interference. Multipath interference with path-detector is theoretically analyzed to find connection between predictability distinguishability. It shown that what quantitatively connects distinguishability predictability. Thus, coherence, can also be viewed as triality predictability, coherence. There exist two different kind literature, which pertain kinds experiments, without path-detector. Results this study show connected via entanglement. The roots new classical optical domain, including polarization coherence theorem, understood light work. Additionally, obtained quantify interesting case quanton an internal degree freedom. employed experimentally determine bipartite