Ilaria Svampa

activity

20212026

most citedInvariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups

4 citations · 11 across the 7 of their papers we have counts for

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math-ph2026

The Haar measure of the $p$ -adic rotation group $SO (3)_{p}$ via nautical angles

Lorenzo Guglielmi, Stefano Mancini, Vincenzo Parisi +1

We study the explicit construction of the Haar measure on the compact $p$ -adic rotation group $SO (3)_{p}$ by nautical (Cardano) parametrization. Exploiting its topological g…

math.GR2026

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…

quant-ph2026

Composing $p$ -adic qubits: from representations of SO(3) $_{p}$ to entanglement and universal quantum logic gates

Ilaria Svampa, Sonia L'Innocente, Stefano Mancini +1

In the context of $p$ -adic quantum mechanics, we investigate composite systems of $p$ -adic qubits and $p$ -adically controlled quantum logic gates. We build on the notion of a singl…

The Haar measure of the p-adic rotation group SO(3)p​ via nautical angles

A dynamical approach to Schur's Theorem

Composing p-adic qubits: from representations of SO(3)p​ to entanglement and universal quantum logic gates

The Haar measure of the $p$ -adic rotation group $SO (3)_{p}$ via nautical angles

Composing $p$ -adic qubits: from representations of SO(3) $_{p}$ to entanglement and universal quantum logic gates