Finite elements and moving asymptotes accelerate quantum optimal control -- FEMMA
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911439014330368 |
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| author | He, Mengjia Deng, Yongbo Luy, Burkhard Korvink, Jan G. |
| author_facet | He, Mengjia Deng, Yongbo Luy, Burkhard Korvink, Jan G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite elements and moving asymptotes accelerate quantum optimal control -- FEMMA He, Mengjia Deng, Yongbo Luy, Burkhard Korvink, Jan G. Chemical Physics Optimization and Control 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. |
| title | Finite elements and moving asymptotes accelerate quantum optimal control -- FEMMA |
| topic | Chemical Physics Optimization and Control |
| url | https://arxiv.org/abs/2510.04798 |