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Predictability, distinguishability, and entanglement

2020/11/30 by Tabish Qureshi · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Computer science #Discrete mathematics #Duality (order theory) #Mathematics #Multipath interference #Multipath propagation #Orbital Angular Momentum in Optics #Physics #Predictability #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #Telecommunications #quant-ph

paper · pdf · doi:10.1364/ol.415556

published as Opt. Lett. 46, 492 (2021) · 4 pages, published version

openalex publication_date 2021/01/05 · arxiv created 2021/01/20 · arxiv updated 2021/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

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