Coherence and entropy complementarity relations of generalized wave-particle duality
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910695731232768 |
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| author | Yang, Kang-Kang Wang, Zhi-Xi Fei, Shao-Ming |
| author_facet | Yang, Kang-Kang Wang, Zhi-Xi Fei, Shao-Ming |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07818 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coherence and entropy complementarity relations of generalized wave-particle duality Yang, Kang-Kang Wang, Zhi-Xi Fei, Shao-Ming Quantum Physics 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. |
| title | Coherence and entropy complementarity relations of generalized wave-particle duality |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.07818 |