437 citations · 3k across the 109 of their papers we have counts for
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Classical limits of quantum mechanics on a non-commutative configuration space
Fabio Benatti, Laure Gouba
We consider a model of non-commutative Quantum Mechanics given by two harmonic oscillators over a non-commutative two dimensional configuration space. We study possible ways of rem…
Entanglement witnesses for a class of bipartite states of n x n qubits
Fabio Benatti, Mahya Karbalaii
We characterize the positive maps detecting the entangled bipartite states of n x n qubits that are diagonal with respect to the orthonormal basis constructed by tensor products of…
Translation Invariant States on Twisted Algebras on a Lattice
Bernhard Baumgartner, Fabio Benatti, Heide Narnhofer
We construct an algebra with twisted commutation relations and equip it with the shift. For appropriate irregularity of the non-local commutation relations we prove that the tracia…
Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework
Fabio Benatti, Valerio Cappellini
We study the presence of a logarithmic time scale in discrete approximations of Sawtooth Maps on the 2--torus. The techniques used are suggested by quantum mechanical similarities,…
Quantum Dynamical Entropies in Discrete Classical Chaos
F. Benatti, V. Cappellini, F. Zertuche
We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fan…