10 citations · 30 across the 14 of their papers we have counts for
16 papers
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…
Irreducibility in generalized power series
Antongiulio Fornasiero, Noa Lavi, Sonia L'Innocente +1
A classical tool in the study of real closed fields are the fields of generalized power series (i.e., formal sums with well-ordered support) with coefficients in a field $…
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…
Decidability of the theory of modules over Prüfer domains with dense value groups
Lorna Gregory, Sonia L'Innocente, Carlo Toffalori
We provide algebraic conditions ensuring the decidability of the theory of modules over effectively given Prüfer (in particular Bézout) domains whose localizations at maximal ideal…
The torsionfree part of the Ziegler spectrum of orders over Dedekind domains
Lorna Gregory, Sonia L'Innocente, Carlo Toffalori
We study the R-torsionfree part of the Ziegler spectrum of an order Λover a Dedekind domain R. We underline and comment on the role of lattices over Λ. We describe the torsionfree…
A factorisation theory for generalised power series and omnific integers
Sonia L'Innocente, Vincenzo Mantova
We prove that in every ring of generalised power series with non-positive real exponents and coefficients in a field of characteristic zero, every series admits a factorisation int…
Decidability of the theory of modules over Prüfer domains with infinite residue fields
Lorna Gregory, Sonia L'Innocente, Gena Puninski +1
We provide algebraic conditions ensuring the decidability of the theory of modules over effectively given Prüfer (in particular Bézout) domains with infinite residue fields in term…
The Ziegler spectrum of the ring of entire complex valued functions
Sonia L'Innocente, Francoise Point, Gena Puninski +1
We will describe the Ziegler spectrum of the ring of entire complex valued functions
Bézout domains and lattice-valued modules
Sonia L'Innocente, Françoise Point
Let B be a commutative Bézout domain B and let MSpec(B) be the maximal spectrum of B. We obtain a Feferman-Vaught type theorem for the class of B-modules. We analyse the definable…
On the decidability of the theory of modules over the ring of algebraic integers
Sonia L'Innocente, Carlo Toffalori, Gena Puninski
We prove that the theory of all modules over the ring of algebraic integers is decidable.
Factorisation of germ-like series
Sonia L'Innocente, Vincenzo Mantova
A classical tool in the study of real closed fields are the fields of generalised power series (i.e., formal sums with well-ordered support) with coefficients in a field $…
Quantifying the Performance of Quantum Codes
C. Cafaro, S. L'Innocente, C. Lupo +1
We study the properties of error correcting codes for noise models in the presence of asymmetries and/or correlations by means of the entanglement fidelity and the code entropy. Fi…
Qubit dynamics in a q-deformed oscillators environment
S. L'Innocente, C. Lupo, S. Mancini
We study the dynamics of one and two qubits plunged in a q-deformed oscillators environment. Specifically we evaluate the decay of quantum coherence and entanglement in time when p…
Quantum state transfer in a q-deformed chain
Sonia L'Innocente, Cosmo Lupo, Stefano Mancini
We investigate the quantum state transfer in a chain of particles satisfying q-deformed oscillators algebra. This general algebraic setting includes the spin chain and the bosonic…