24 citations · 39 across the 5 of their papers we have counts for
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From Geometric Quantum Mechanics to Quantum Information
P. Aniello, J. Clemente-Gallardo, G. Marmo +1
We consider the geometrization of quantum mechanics. We then focus on the pull-back of the Fubini-Study metric tensor field from the projective Hibert space to the orbits of the lo…
Classical Tensors and Quantum Entanglement II: Mixed States
P. Aniello, J. Clemente-Gallardo, G. Marmo +1
Invariant operator-valued tensor fields on Lie groups are considered. These define classical tensor fields on Lie groups by evaluating them on a quantum state. This particular cons…
Classical Tensors and Quantum Entanglement I: Pure States
P. Aniello, J. Clemente-Gallardo, G. Marmo +1
The geometrical description of a Hilbert space asociated with a quantum system considers a Hermitian tensor to describe the scalar inner product of vectors which are now described…
Classical tensors from quantum states
P. Aniello, G. Marmo, G. F. Volkert
The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute the…