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arXiv · 2411.07818

Coherence and entropy complementarity relations of generalized wave-particle duality

Kang-Kang Yang·Zhi-Xi Wang·Shao-Ming Fei
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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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Kang-Kang Yang, Zhi-Xi Wang, Shao-Ming Fei. 2024-11-12. Coherence and entropy complementarity relations of generalized wave-particle duality. https://doi.org/10.1103/physreva.110.042413

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