3 papers
quant-ph2026
Slow convergence of Trotter decomposition for rotations
Paolo Facchi, Francesco Perrini, Vito Viesti
We study the Trotter approximation for a pair of orbital angular momentum operators, and . In particular, we investigate the scaling behavior of the state-dependent Trot…
quant-ph2026
Wandering range of robust quantum symmetries
Daniel Burgarth, Paolo Facchi, Marilena Ligabò +2
This paper introduces the concept of the wandering range of a robust symmetry of a Hamiltonian . This quantity measures how the perturbed time evolution $\mathrm{e}^{\mathrm…
quant-ph2024
Robustness of quantum symmetries against perturbations
Paolo Facchi, Marilena Ligabò, Vito Viesti
We investigate quantum symmetries in terms of their large-time stability with respect to perturbations of the Hamiltonian. We find a complete algebraic characterization of the set…