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 5, 942 (2018) [CrossRef]  ] 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.

© 2019 Optical Society of America

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