Measure-independent description of wave-particle duality via coherence
Abstract
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.
Keywords
Cite
@article{arxiv.2504.02554,
title = {Measure-independent description of wave-particle duality via coherence},
author = {Zhaofang Bai and ShuanpingDu},
journal= {arXiv preprint arXiv:2504.02554},
year = {2025}
}
Comments
8 pages, 3 figures, 51 references