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Entanglement Theory Quantum Correlations

Quantizations from (P)OVM's

arXiv
Authors: Hervé Bergeron, Evaldo M. F. Curado, Jean-Pierre Gazeau, Ligia M. C. S. Rodrigues

Year

2013

Paper ID

32274

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

Abstract

We explain the powerful role that operator-valued measures can play in quantizing any set equipped with a measure, for instance a group (resp. group coset) with its invariant (resp. quasi-invariant) measure. Coherent state quantization is a particular case. Such integral quantizations are illustrated with two examples based on the Weyl-Heisenberg group and on the affine group respectively. An interesting application of the affine quantization in quantum cosmology is mentioned, and we sketch a construction of new coherent states for the hydrogen atom.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We explain the powerful role that operator-valued measures can play in quantizing any set equipped with a measure, for instance a group (resp.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.3304 [2] arXiv https://arxiv.org/abs/1310.3304 [3] Publisher https://arxiv.org/abs/1310.3304

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