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arXiv · 2106.06884

Stereographic Geometry of Coherence and Which-path Information

Yusef Maleki
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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.

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Yusef Maleki. 2021-06-12. Stereographic Geometry of Coherence and Which-path Information. https://doi.org/10.1364/ol.44.005513

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