{"ID":2859876,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.04798","arxiv_id":"2510.04798","title":"Finite elements and moving asymptotes accelerate quantum optimal control -- FEMMA","abstract":"Quantum optimal control is central to designing spin manipulation pulses. Gradient-based pulse optimization can be facilitated by either accelerating gradient evaluation or enhancing the convergence rate. In this work, we accelerated single-spin optimal control by combining the finite element method with the method of moving asymptotes. By treating discretized time as spatial coordinates, the Liouville - von Neumann equation was reformulated as a linear system, efficiently yielding a joint solution of the spin trajectory and control gradient. The method of moving asymptotes, relying on the ensemble fidelities and gradients, achieves rapid convergence for a target fidelity of 0.995.","short_abstract":"Quantum optimal control is central to designing spin manipulation pulses. Gradient-based pulse optimization can be facilitated by either accelerating gradient evaluation or enhancing the convergence rate. In this work, we accelerated single-spin optimal control by combining the finite element method with the method of...","url_abs":"https://arxiv.org/abs/2510.04798","url_pdf":"https://arxiv.org/pdf/2510.04798v2","authors":"[\"Mengjia He\",\"Yongbo Deng\",\"Burkhard Luy\",\"Jan G. Korvink\"]","published":"2025-10-06T13:25:12Z","proceeding":"physics.chem-ph","tasks":"[\"physics.chem-ph\",\"math.OC\"]","methods":"[]","has_code":false}