Stereographic Geometry of Coherence and Which-path Information
arXiv:2106.06884 · doi:10.1364/OL.44.005513
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.
arXiv comment4 pages, 1 figures
References in corpus (17)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantifying Coherence
- Operational Resource Theory of Coherence
- Experimental realization of Wheeler's delayed-choice GedankenExperiment
- A Delayed Choice Quantum Eraser
- A quantum delayed choice experiment
- Relations between coherence and path information
- Entanglement-enabled delayed choice experiment
- Complementarity relations for quantum coherence
- Geometry of entangled states, Bloch spheres and Hopf fibrations
- Delayed-choice test of complementarity with single photons
- Bohr's Complementarity: Completed with Entanglement
- Entanglement of photons in their dual wave-particle nature
- Experimental realisation of a delayed-choice quantum walk
- Coherence Constraints and the Last Hidden Optical Coherence
- Quantum mechanical complementarity probed in a closed-loop Aharonov-Bohm interferometer
- Geometry of Two-Qubit State and Intertwining Quaternionic Conformal Mapping Under Local Unitary Transformations