Article
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On Geometry of p-adic Coherent States and Mutually Unbiased Bases
Version 1
: Received: 22 May 2023 / Approved: 23 May 2023 / Online: 23 May 2023 (04:42:51 CEST)
A peer-reviewed article of this Preprint also exists.
Zelenov, E. On Geometry of p-Adic Coherent States and Mutually Unbiased Bases. Entropy 2023, 25, 902. Zelenov, E. On Geometry of p-Adic Coherent States and Mutually Unbiased Bases. Entropy 2023, 25, 902.
Abstract
The 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 proved that the bases of coherent states corresponding to different lattices are mutually unbiased, and the operators defining the quantization of symplectic dynamics are Hadamard operators.
Keywords
p-adic quantum theory; mutually; mutually unbiased bases; Hadamard matrix
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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