Measure-independent description of wave-particle duality via coherence
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908352520388608 |
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| author | Bai, Zhaofang ShuanpingDu |
| author_facet | Bai, Zhaofang ShuanpingDu |
| contents | Wave-particle duality as one of the expression of Bohr complementarity is a significant concept in the field of quantum mechanics. Quantitative analysis of wave-particle duality aims to establish a complementary relation between the particle and wave properties. Beyond the conventional quantitative analysis depending on special choice of quantum information measures, we are aimed to provide a measure-independent complementary relation via coherence. By employing maximally coherent states in the set of all states with fixed diagonal elements, a measure-independent complementary relation is proposed. Based on this, we give a measure-independent description of wave-particle-mixedness triality in d-path interferometers. Our complementary relations reveal the relationship between wave-particle duality and quantum coherence, and also give a justification to coherence as it truly brings out the wave nature of quantum systems at its heart. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measure-independent description of wave-particle duality via coherence Bai, Zhaofang ShuanpingDu Quantum Physics Wave-particle duality as one of the expression of Bohr complementarity is a significant concept in the field of quantum mechanics. Quantitative analysis of wave-particle duality aims to establish a complementary relation between the particle and wave properties. Beyond the conventional quantitative analysis depending on special choice of quantum information measures, we are aimed to provide a measure-independent complementary relation via coherence. By employing maximally coherent states in the set of all states with fixed diagonal elements, a measure-independent complementary relation is proposed. Based on this, we give a measure-independent description of wave-particle-mixedness triality in d-path interferometers. Our complementary relations reveal the relationship between wave-particle duality and quantum coherence, and also give a justification to coherence as it truly brings out the wave nature of quantum systems at its heart. |
| title | Measure-independent description of wave-particle duality via coherence |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.02554 |