6 papers · 1 filter
Observational entropy of quantum correlations and entanglement
Leonardo Rossetti, Stefano Mancini, Andreas Winter +1
The use of coarse graining to connect physical and information theoretic entropies has recently been given a precise formulation in terms of ``observational entropy'', describing e…
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…
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…
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…
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…
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…