49 citations · 980 across the 80 of their papers we have counts for
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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…
Bures and Sjoqvist Metrics over Thermal State Manifolds for Spin Qubits and Superconducting Flux Qubits
Carlo Cafaro, Paul M. Alsing
The interplay among differential geometry, statistical physics, and quantum information science has been increasingly gaining theoretical interest in recent years. In this paper, w…
Comparing metrics for mixed quantum states: Sjoqvist and Bures
Paul M. Alsing, Carlo Cafaro, Orlando Luongo +3
It is known that there are infinitely many distinguishability metrics for mixed quantum states. This freedom, in turn, leads to metric-dependent interpretations of physically meani…