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quant-ph2026
Quantum Geometric Limits for Non-Abelian Holonomies
François Impens, David Guéry-Odelin
Stokes' theorem turns Abelian Berry phases into curvature fluxes, whereas path ordering precludes such a simple formula for non-Abelian holonomies. We show that a quantitative form…
quant-ph2025
Approaching the Quantum Speed Limit in Quantum Gates with Geometric Control
F. Impens, D. Guéry-Odelin
We present a geometric optimization method for implementing quantum gates by optimally controlling the Hamiltonian parameters, with the goal of approaching the Mandelstam-Tamm Quan…