On Geometry of p-Adic Coherent States and Mutually Unbiased Bases

This paper considers coherent states for the representation of Weyl commutation relations over a field of p-adic numbers. A geometric object, a lattice in vector space over a field of p-adic numbers, corresponds to the family of coherent states. It is proven that the bases of coherent states corresp...

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Detalles Bibliográficos
Autor principal: Zelenov, Evgeny
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10297308/
https://www.ncbi.nlm.nih.gov/pubmed/37372246
http://dx.doi.org/10.3390/e25060902
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author Zelenov, Evgeny
author_facet Zelenov, Evgeny
author_sort Zelenov, Evgeny
collection PubMed
description This paper considers coherent states for the representation of Weyl commutation relations over a field of p-adic numbers. A geometric object, a lattice in vector space over a field of p-adic numbers, corresponds to the family of coherent states. It is proven that the bases of coherent states corresponding to different lattices are mutually unbiased, and that the operators defining the quantization of symplectic dynamics are Hadamard operators.
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spelling pubmed-102973082023-06-28 On Geometry of p-Adic Coherent States and Mutually Unbiased Bases Zelenov, Evgeny Entropy (Basel) Article This paper considers coherent states for the representation of Weyl commutation relations over a field of p-adic numbers. A geometric object, a lattice in vector space over a field of p-adic numbers, corresponds to the family of coherent states. It is proven that the bases of coherent states corresponding to different lattices are mutually unbiased, and that the operators defining the quantization of symplectic dynamics are Hadamard operators. MDPI 2023-06-06 /pmc/articles/PMC10297308/ /pubmed/37372246 http://dx.doi.org/10.3390/e25060902 Text en © 2023 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zelenov, Evgeny
On Geometry of p-Adic Coherent States and Mutually Unbiased Bases
title On Geometry of p-Adic Coherent States and Mutually Unbiased Bases
title_full On Geometry of p-Adic Coherent States and Mutually Unbiased Bases
title_fullStr On Geometry of p-Adic Coherent States and Mutually Unbiased Bases
title_full_unstemmed On Geometry of p-Adic Coherent States and Mutually Unbiased Bases
title_short On Geometry of p-Adic Coherent States and Mutually Unbiased Bases
title_sort on geometry of p-adic coherent states and mutually unbiased bases
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10297308/
https://www.ncbi.nlm.nih.gov/pubmed/37372246
http://dx.doi.org/10.3390/e25060902
work_keys_str_mv AT zelenovevgeny ongeometryofpadiccoherentstatesandmutuallyunbiasedbases

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