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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…