4 citations · 8 across the 6 of their papers we have counts for
7 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…
A dynamical approach to Schur's Theorem
Sonia L'Innocente, Francesco G. Russo, Ilaria Svampa
A classical result of Schur of 1904 shows that an abstract group with finite central quotient has finite derived subgroup. Schur's Theorem has many important consequences and gener…
Composing -adic qubits: from representations of SO(3) to entanglement and universal quantum logic gates
Ilaria Svampa, Sonia L'Innocente, Stefano Mancini +1
In the context of -adic quantum mechanics, we investigate composite systems of -adic qubits and -adically controlled quantum logic gates. We build on the notion of a singl…
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…
An approach to -adic qubits from irreducible representations of
Ilaria Svampa, Stefano Mancini, Andreas Winter
We introduce the notion of -adic quantum bit (-qubit) in the context of the -adic quantum mechanics initiated and developed by Volovich and his followers. In this approach…