515 citations · 4.7k across the 212 of their papers we have counts for
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Homodyne extimation of quantum states purity by exploiting covariant uncertainty relation
V. I. Man'ko, G. Marmo, A. Porzio +2
We experimentally verify uncertainty relations for mixed states in the tomographic representation by measuring the radiation field tomograms, i.e. homodyne distributions. Thermal s…
Entanglement for multipartite systems of indistinguishable particles
Janusz Grabowski, Marek Kus, Giuseppe Marmo
We analyze the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. We use the r…
Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
Paolo Facchi, Ravi Kulkarni, V. I. Man'ko +3
The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrica…
Covariant Quantum Fields on Noncommutative Spacetimes
A. P. Balachandran, A. Ibort, G. Marmo +1
A spinless covariant field on Minkowski spacetime $\M^{d+1}$ obeys the relation where is an element of the Poincaré group $\Pg$ and $U:(…
Quantum Geons and Noncommutative Spacetimes
A. P. Balachandran, A. Ibort, G. Marmo +1
Physical considerations strongly indicate that spacetime at Planck scales is noncommutative. A popular model for such a spacetime is the Moyal plane. The Poincarè group algebra act…
Geometrical Description of Quantum Mechanics - Transformations and Dynamics
G. Marmo, G. F. Volkert
In this paper we review a proposed geometrical formulation of quantum mechanics. We argue that this geometrization makes available mathematical methods from classical mechanics to…