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Quantum Foundations
Quantum Description of Angles in the Plane
arXiv
Authors: Roberto Beneduci, Emmanuel Frion, Jean-Pierre Gazeau
Year
2021
Paper ID
41381
Status
Preprint
Abstract Read
~2 min
Abstract Words
66
Citations
N/A
Abstract
The real plane with its set of orientations or angles in [0,π) 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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- The real plane with its set of orientations or angles in [0,π) is the simplest non trivial example of a (projective) Hilbert space and provides nice illustrations of quantum...
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