Photonic Energy-Coherence Theorem and Experimental Validations
Yan-Han Yang, Xin-Zhu Liu, Jun-Li Jiang, Hu Chen, Xue Yang, Xiao-Feng Qian, Shao-Ming Fei, Ming-Xing Luo

TL;DR
This paper introduces a new energy-based uncertainty relation for wave-particle duality in quantum systems, proves its device independence, and experimentally validates it using photons, advancing understanding of quantum energy coherence.
Contribution
It derives a novel device-independent wave-particle duality relation based on energy capacity and experimentally confirms it with photon experiments.
Findings
Validated the energy-coherence duality relation experimentally
Demonstrated device independence of the uncertainty relation
Enhanced understanding of quantum energy storage and extraction
Abstract
Wave-particle duality, intertwining two inherently contradictory properties of quantum systems, remains one of the most conceptually profound aspects of quantum mechanics. By using the concept of energy capacity, the ability of a quantum system to store and extract energy, we derive a device-independent uncertainty relation for wave-particle duality. This relation is shown to be independent of both the representation space and the measurement basis of the quantum system. Furthermore, we experimentally validate this wave-particle duality relation using a photon-based platform.
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