Quantum Optimal Control Using MAGICARP: Combining Pontryagin's Maximum Principle and Gradient Ascent
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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.
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Cited by 2 Pith papers
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Probing the Weak-Driving Quantum Speed Limit via Drift-Aware Shooting Methods
Extends MAGICARP to drifted two-spin systems, benchmarks lower energy than Krotov/GRAPE, and reports a weak-driving quantum speed limit for two-qubit QFT with an empirical two-parameter area-pole energy divergence.
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Implementation of a shooting technique for quantum optimal control on spin qudits
A shooting technique yields smooth control pulses for quantum gates on spin qudits that are faster than GRAPE, with the advantage growing as system dimension increases, shown in numerical simulations inspired by singl...
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