38 citations · 144 across the 22 of their papers we have counts for
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A geometrization of quantum mutual information
Davide Pastorello
It is well known that quantum mechanics admits a geometric formulation on the complex projective space as a Kahler manifold. In this paper we consider the notion of mutual informat…
A geometric approach to quantum control in projective Hilbert spaces
Davide Pastorello
A quantum theory in a finite-dimensional Hilbert space can be geometrically formulated as a proper Hamiltonian theory as explained in [2, 3, 7, 8]. From this point of view a quantu…
A geometric Hamiltonian description of composite quantum systems and quantum entanglement
Davide Pastorello
Finite-dimensional Quantum Mechanics can be geometrically formulated as a proper classical-like Hamiltonian theory in a projective Hilbert space. The description of composite quant…
Frame functions in finite-dimensional Quantum Mechanics and its Hamiltonian formulation on complex projective spaces
Valter Moretti, Davide Pastorello
This work concerns some issues about the interplay of standard and geometric (Hamiltonian) approaches to finite-dimensional quantum mechanics, formulated in the projective space. O…
Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem
Valter Moretti, Davide Pastorello
Consider a finite dimensional complex Hilbert space $\cH$, with $dim(\cH) \geq 3$, define $\bS(\cH):= \{x\in \cH \:|\: ||x||=1\}$, and let $ν_\cH$ be the unique regular Borel posit…