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This research investigates the universal triality relation linking coherence, predictability, and entanglement within quantum induced coherence interferometers, extending fundamental wave-particle duality principles to this specific setup. The study explicitly analyzes how path indistinguishability governs interference patterns and entanglement generation, offering new insights into controlling these quantum resources in both classical and quantum regimes.
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Induced Coherence in Quantum and Classical Interferometry: Origin and Control

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arXiv:2609.35523v1 Announce Type: new Abstract: The wave-particle duality that manifests in the Young's double-slit interferometry satisfying the well known Englert-Greenberger-Yasin inequality has recently been shown to obey a universal triality relation involving coherence, predictability and rather surprisingly entanglement. In the present work, we explicitly demonstrate the persistence of the triality relation in the quantum induced coherence interferometer and the classical configuration recovers the well known duality inequality. Furthermore, we explore the origin of coherence and entanglement, in the induced coherence interferometer, and means to control them. We show that path indistinguishability (or intrinsic indistinguishability of the sources) in our setup plays a complementary role in influencing both interference and entanglement. We bring out manifestly the nature of coherence in both classical and quantum versions of induced coherence interferometers.

Abstract:The wave-particle duality that manifests in the Young's double-slit interferometry satisfying the well known Englert-Greenberger-Yasin inequality has recently been shown to obey a universal triality relation involving coherence, predictability and rather surprisingly entanglement. In the present work, we explicitly demonstrate the persistence of the triality relation in the quantum induced coherence interferometer and the classical configuration recovers the well known duality inequality. Furthermore, we explore the origin of coherence and entanglement, in the induced coherence interferometer, and means to control them. We show that path indistinguishability (or intrinsic indistinguishability of the sources) in our setup plays a complementary role in influencing both interference and entanglement. We bring out manifestly the nature of coherence in both classical and quantum versions of induced coherence interferometers.

arXiv:2609.35523 [quant-ph]

(or arXiv:2609.35523v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.35523 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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