Coherence and entropy complementarity relations of generalized wave-particle duality

• URL: http://arxiv.org/abs/2411.07818v1
• Date: Tue, 12 Nov 2024 14:10:51 GMT
• Title: Coherence and entropy complementarity relations of generalized wave-particle duality
• Authors: Kang-Kang Yang, Zhi-Xi Wang, Shao-Ming Fei,
• Abstract summary: We construct measures for the predictability and visibility of $n$-path interference to quantify the wave and particle properties in quantum high-dimensional systems. By employing the Morozova-Chentsov function, we ascertain that the wave-particle relationship can be delineated by the average coherence. This function exhibits a close correlation with the metric-adjusted skew information, thereby we establish complementary relations between visibility, predictability, and quantum $f$ entropy.
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• Abstract: The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wave-like and particle-like properties exhibited by microscopic particles. In this paper, we construct generalized measures for the predictability and visibility of $n$-path interference fringes to quantify the wave and particle properties in quantum high-dimensional systems. By employing the Morozova-Chentsov function, we ascertain that the wave-particle relationship can be delineated by the average coherence. This function exhibits a close correlation with the metric-adjusted skew information, thereby we establish complementary relations between visibility, predictability, and quantum $f$ entropy, which reveals deep connections between wave-particle duality and other physical quantities. Through our methodology, diverse functions can be selected to yield corresponding complementary relationships.

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