34 citations · 285 across the 36 of their papers we have counts for
38 papers
The cross states of a composite quantum system: separability and entanglement in any Hilbert space dimension
Paolo Aniello
We introduce a class of states of a composite quantum system, the so-called cross states, that turn out to play a major role in the theory of entanglement for a genuinely infinite-…
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…
A class of stochastic products on the convex set of quantum states
Paolo Aniello
We introduce the notion of stochastic product as a binary operation on the convex set of quantum states (the density operators) that preserves the convex structure, and we investig…