6 papers
Non-Multiplicativity of the Holevo Barycenter of Quantum Channels
Sayantan Chakraborty, Stefano Mancini, Leonardo Rossetti +1
The Holevo barycenter of a quantum channel is the unique output state obtained as the average output of any ensemble achieving the Holevo capacity. Given two quantum channels, the…
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…
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…
Observational entropy of quantum correlations and entanglement
Leonardo Rossetti, Stefano Mancini, Andreas Winter +1
The use of coarse graining to connect physical and information theoretic entropies has recently been given a precise formulation in terms of ``observational entropy'', describing e…
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…