Unveiling quantum steering by quantum-classical uncertainty complementarity

• URL: http://arxiv.org/abs/2312.01055v3
• Date: Thu, 1 Aug 2024 08:56:50 GMT
• Title: Unveiling quantum steering by quantum-classical uncertainty complementarity
• Authors: Kuan-Yi Lee, Jhen-Dong Lin, Karel Lemr, Antonín Černoch, Adam Miranowicz, Franco Nori, Huan-Yu Ku, Yueh-Nan Chen,
• Abstract summary: We introduce a novel complementarity relation between system's quantum and classical uncertainties. We demonstrate a superior steering detection efficiency compared to an entropic uncertainty relation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: One of the remarkable aspects of quantum steering is its ability to violate local uncertainty complementarity relations. In this vein of study, various steering witnesses employing different uncertainty relations have been developed including Reid's criteria. Here, we introduce a novel complementarity relation between system's quantum and classical uncertainties corresponding to the distillable coherence and the von-Neumann entropy, respectively. We demonstrate a superior steering detection efficiency compared to an entropic uncertainty relation. Notably, our proposed steering witness can detect ``all pure entangled states," while the entropic uncertainty relation cannot. We also experimentally validate such a property through a photonic system. Furthermore, a deeper connection to the uncertainty principle is revealed by showcasing the functionality of our proposed complementarity as a quantifier of measurement incompatibility and quantum steerability under genuine incoherent operations. Our work establishes a clear quantitative and operational link between coherence and steering, which are significant resources of quantum technologies, and underscores our efforts in bridging the uncertainty principle with quantum coherence.

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