Longitudinal coupling offers a compelling pathway for quantum nondemolition (QND) readout, but pulse design is constrained by hardware limitations, such as the maximum coupling strength and the intracavity photon number required to remain in the linear regime. Here, we formulate the pulse-design task as a low-dimensional constrained optimization problem. Building on inverse engineering (IE) within the shortcuts to adiabaticity (STA) framework, we parameterize the auxiliary control variable with a smooth B-spline basis and reconstruct the physical control from it. The analytical STA pulse provides the initialization for this constrained search. At a fixed short readout time, the optimized pulse yields an approximately 50% improvement in $\mathrm{SNR}$ over the STA baseline. Comparisons across multiple optimizers show that the IE-guided formulation consistently yields high-performance solutions, while the optimized pulse remains smooth, hardware compatible, and governed by an interpretable “saturate-and-hold” mechanism.

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• Adiabatic quantum optimization
• Optoelectronics
• Quantum control
• Quantum information with solid state qubits
• Quantum nondemolition measurement
• Superconducting qubits
• Machine learning
• Microwave techniques