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On Geometry of Ip/I-Adic Coherent States and Mutually Unbiased Bases
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Journal Article
On Geometry of Ip/I-Adic Coherent States and Mutually Unbiased Bases
2023
Overview
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.
Publisher
MDPI AG
Subject
