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arXiv · 2111.11501

Quantum Description of Angles in the Plane

Roberto Beneduci·Emmanuel Frion·Jean-Pierre Gazeau
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Abstract

The real plane with its set of orientations or angles in $[0,\pi)$ is the simplest non trivial example of a (projective) Hilbert space and provides nice illustrations of quantum formalism. We present some of them, namely covariant integral quantization, linear polarisation of light as a quantum measurement, interpretation of entanglement leading to the violation of Bell inequalities, and spin one-half coherent states viewed as two entangled angles.

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Roberto Beneduci, Emmanuel Frion, Jean-Pierre Gazeau. 2021-11-22. Quantum Description of Angles in the Plane. https://doi.org/10.14311/ap.2022.62.0008

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