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quant-ph2026

Non-Multiplicativity of the Holevo Barycenter of Quantum Channels

Sayantan Chakraborty, Stefano Mancini, Leonardo Rossetti +1

The Holevo barycenter of a quantum channel is the unique output state obtained as the average output of any ensemble achieving the Holevo capacity. Given two quantum channels, the…

quant-ph2025

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…

quant-ph2024

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…

quant-ph2024

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…

quant-ph2024

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…

quant-ph2024

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…