Quantum Optimal Control Using MAGICARP: Combining Pontryagin's Maximum Principle and Gradient Ascent
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916761905922048 |
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| author | Janković, Denis Hartmann, Jean-Gabriel Etienney, Paul-Louis Lutz, Killian Privat, Yannick Hervieux, Paul-Antoine |
| author_facet | Janković, Denis Hartmann, Jean-Gabriel Etienney, Paul-Louis Lutz, Killian Privat, Yannick Hervieux, Paul-Antoine |
| contents | We introduce the MAGICARP algorithm, a numerical optimization method for quantum optimal control problems that combines the structure provided by Pontryagin's Maximum Principle (PMP) and the robustness of gradient ascent techniques, such as GRAPE. MAGICARP is formulated as a "shooting technique", aiming to determine the appropriate initial adjoint momentum to realize a target quantum gate. This method naturally incorporates time and energy optimal constraints through a PMP-informed pulse structure. We demonstrate MAGICARP's effectiveness through illustrative numerical examples, comparing its performance to GRAPE and highlighting its advantages in specific scenarios. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_21203 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Optimal Control Using MAGICARP: Combining Pontryagin's Maximum Principle and Gradient Ascent Janković, Denis Hartmann, Jean-Gabriel Etienney, Paul-Louis Lutz, Killian Privat, Yannick Hervieux, Paul-Antoine Quantum Physics Computational Physics We introduce the MAGICARP algorithm, a numerical optimization method for quantum optimal control problems that combines the structure provided by Pontryagin's Maximum Principle (PMP) and the robustness of gradient ascent techniques, such as GRAPE. MAGICARP is formulated as a "shooting technique", aiming to determine the appropriate initial adjoint momentum to realize a target quantum gate. This method naturally incorporates time and energy optimal constraints through a PMP-informed pulse structure. We demonstrate MAGICARP's effectiveness through illustrative numerical examples, comparing its performance to GRAPE and highlighting its advantages in specific scenarios. |
| title | Quantum Optimal Control Using MAGICARP: Combining Pontryagin's Maximum Principle and Gradient Ascent |
| topic | Quantum Physics Computational Physics |
| url | https://arxiv.org/abs/2505.21203 |