12 papers
Geometric Aspects of Entanglement Generating Hamiltonian Evolutions
Carlo Cafaro, James Schneeloch
We examine the pertinent geometric characteristics of entanglement that arise from stationary Hamiltonian evolutions transitioning from separable to maximally entangled two-qubit q…
Krylov's State Complexity and Information Geometry in Qubit Dynamics
Carlo Cafaro, Emma Clements, Vishnu Vardhan Anuboyina
We compare Krylov's state complexity with an information-geometric (IG) measure of complexity for the quantum evolution of two-level systems. Focusing on qubit dynamics on the Bloc…
From Quantum-Mechanical Acceleration Limits to Upper Bounds on Fluctuation Growth of Observables in Unitary Dynamics
Carlo Cafaro, Walid Redjem, Paul M. Alsing +2
Recently, the notion of a quantum acceleration limit has been proposed for any unitary time evolution of quantum systems governed by arbitrary nonstationary Hamiltonians. This limi…
Symmetry-Based Perspectives on Hamiltonian Quantum Search Algorithms and Schrodinger's Dynamics between Orthogonal States
Carlo Cafaro, James Schneeloch
It is known that the continuous-time variant of Grover's search algorithm is characterized by quantum search frameworks that are governed by stationary Hamiltonians, which result i…
Efficiency, Curvature, and Complexity of Quantum Evolutions for Qubits in Nonstationary Magnetic Fields
Carlo Cafaro, James Schneeloch
In optimal quantum-mechanical evolutions, motion can take place along paths of minimal length within an optimal time frame. Alternatively, optimal evolutions may occur along establ…
Upper Bounds on Fluctuation Growths of Observables in Open Quantum Systems
Newshaw Bahreyni, Paul M. Alsing, Carlo Cafaro +2
The upper bounds for the rate of fluctuation growth of an observable in both open and closed quantum systems have been studied actively recently. In our recent work we showed that…