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Quantum Algorithms
On the Berry-Keating Operator
arXiv
Authors: Fabio Bagarello, Sergiusz Kużel
Year
2026
Paper ID
70687
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
We review here two different viewpoints on the Berry-Keating operator HBK, whose connection to the Riemann hypothesis remains an intriguing and not yet fully understood question, despite considerable attention in the recent literature. In particular, we propose two somehow complementary views to HBK: the first is based on a purely Hilbertian point of view, on dilation operators and on the Mellin transform. The second is a distributional approach, with a specific view to ladder operators, generalized eigenstates of HBK, and generalized coherent states.
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- It adds a 2026 reference point for readers tracking recent quantum research.
- We review here two different viewpoints on the Berry-Keating operator HBK, whose connection to the Riemann hypothesis remains an intriguing and not yet fully understood...
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