6 citations · 7 across the 14 of their papers we have counts for
15 papers
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…
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…
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…
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…
Investigating the cosmic distance duality relation with gamma-ray bursts
Anna Chiara Alfano, Carlo Cafaro, Salvatore Capozziello +2
Deviations from the so-called {\it cosmic distance duality relation} may result from systematic errors in distance measurements or, more interestingly, hint at new physics. Further…
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…
Aspects of Complexity in Quantum Evolutions on the Bloch Sphere
Carlo Cafaro, Emma Clements, Abeer Alanazi
We enhance our quantitative comprehension of the complexity associated with both time-optimal and time sub-optimal quantum Hamiltonian evolutions that connect arbitrary source and…
From Uncertainty Relations to Quantum Acceleration Limits
Carlo Cafaro, Christian Corda, Newshaw Bahreyni +1
The concept of quantum acceleration limit has been recently introduced for any unitary time evolution of quantum systems under arbitrary nonstationary Hamiltonians. While Alsing an…
An Observer-Based View of Euclidean Geometry
Newshaw Bahreyni, Carlo Cafaro, Leonardo Rossetti
Influence network of events is a view of the universe based on events that may be related to one another via influence. The network of events form a partially-ordered set which, wh…
Complexity of Quantum-Mechanical Evolutions from Probability Amplitudes
Carlo Cafaro, Leonardo Rossetti, Paul M. Alsing
We study the complexity of both time-optimal and time sub-optimal quantum Hamiltonian evolutions connecting arbitrary source and a target states on the Bloch sphere equipped with t…
Curvature of Quantum Evolutions for Qubits in Time-Dependent Magnetic Fields
Carlo Cafaro, Leonardo Rossetti, Paul M. Alsing
In the geometry of quantum-mechanical processes, the time-varying curvature coefficient of a quantum evolution is specified by the magnitude squared of the covariant derivative of…
Deviations from Geodesic Evolutions and Energy Waste on the Bloch Sphere
Leonardo Rossetti, Carlo Cafaro, Paul M. Alsing
In optimal quantum-mechanical evolutions, motion can occur along non-predetermined paths of shortest length in an optimal time. Alternatively, optimal evolutions can happen along p…
From Entanglement to Universality: A Multiparticle Spacetime Algebra Approach to Quantum Computational Gates Revisited
Carlo Cafaro, Newshaw Bahreyni, Leonardo Rossetti
Alternative mathematical explorations in quantum computing can be of great scientific interest, especially if they come with penetrating physical insights. In this paper, we presen…
Constructions of Optimal-Speed Quantum Evolutions: A Comparative Study
Leonardo Rossetti, Carlo Cafaro, Newshaw Bahreyni
We present a comparative analysis of two different constructions of optimal-speed quantum Hamiltonian evolutions on the Bloch sphere. In the first approach (Mostafazadeh's approach…