8 citations · 12 across the 6 of their papers we have counts for
6 papers
The Haar measure of the -adic rotation group via nautical angles
Lorenzo Guglielmi, Stefano Mancini, Vincenzo Parisi +1
We study the explicit construction of the Haar measure on the compact -adic rotation group by nautical (Cardano) parametrization. Exploiting its topological g…
Pseudo quantum advantages in perceptron storage capacity
Fabio Benatti, Masoud Gharahi, Giovanni Gramegna +2
We investigate a generalized quantum perceptron architecture characterized by an oscillating activation function with a tunable frequency ranging from zero to infinity. Employing a…
The tensor product of p-adic Hilbert spaces
Paolo Aniello, Lorenzo Guglielmi, Stefano Mancini +1
In the framework of quantum mechanics over a quadratic extension of the ultrametric field of p-adic numbers, we introduce a notion of tensor product of p-adic Hilbert spaces. To th…
Characterising the Haar measure on the -adic rotation groups via inverse limits of measure spaces
Paolo Aniello, Sonia L'Innocente, Stefano Mancini +3
We determine the Haar measure on the compact -adic special orthogonal groups of rotations in dimension , by exploiting the machinery of inverse limits…
Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups
Paolo Aniello, Sonia L'Innocente, Stefano Mancini +3
We provide a general expression of the Haar measure that is, the essentially unique translation-invariant measure on a -adic Lie group. We then argue that this measure c…
Trace class operators and states in p-adic quantum mechanics
Paolo Aniello, Stefano Mancini, Vincenzo Parisi
Within the framework of quantum mechanics over a quadratic extension of the non-Archimedean field of p-adic numbers, we provide a definition of a quantum state relying on a general…