Stereographic Geometry of Coherence and Which-path Information
Quantum Physics
2021-06-15 v1 Mathematical Physics
math.MP
Abstract
Recently, it was shown that quantum entanglement is an indispensable part of the duality behavior of light. Here, we report a surprisingly intimate connection between the stereographic projection and the duality--entanglement nature of a single photon. We show that, the duality--entanglement relation [Optica \textbf{5}, 942 (2018)], naturally emerges from the stereographic projection geometry. We demonstrate that this geometry is complementarity sensitive; in the sense that, it is sensitive to the particle nature, wave nature, and entanglement nature of a single photon.
Keywords
Cite
@article{arxiv.2106.06884,
title = {Stereographic Geometry of Coherence and Which-path Information},
author = {Yusef Maleki},
journal= {arXiv preprint arXiv:2106.06884},
year = {2021}
}
Comments
4 pages, 1 figures