49 citations · 980 across the 80 of their papers we have counts for
80 papers
Feynman's "Simulating Physics with Computers"
Paul M. Alsing, Carlo Cafaro, Stefano Mancini
This invited essay belongs to a series considering highly influential articles published by the International Journal of Theoretical Physics. In this paper, we highlight the physic…
Geodesics for mixed quantum states via their geometric mean operator
Paul M. Alsing, Carlo Cafaro, Shannon Ray
We examine the geodesic between two mixed states of arbitrary dimension by means of their geometric mean operator. We utilize the fiber bundle approach by which the distance betwee…
Geometric aspects of mixed quantum states inside the Bloch sphere
Paul M. Alsing, Carlo Cafaro, Domenico Felice +1
When studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-depend…
Upper limit on the acceleration of a quantum evolution in projective Hilbert space
Paul M. Alsing, Carlo Cafaro
It is remarkable that Heisenberg's position-momentum uncertainty relation leads to the existence of a maximal acceleration for a physical particle in the context of a geometric ref…
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part II. Nonstationary Hamiltonians
Paul M. Alsing, Carlo Cafaro
We present a geometric perspective on how to quantify the bending and the twisting of quantum curves traced by state vectors evolving under nonstationary Hamiltonians. Specifically…
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians
Paul M. Alsing, Carlo Cafaro
It is known that the Frenet-Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet-Serret apparat…