Quantum circuit ansatz designs are being reevaluated to better suit emerging 2D quantum hardware architectures, such as planar superconducting-qubit setups. Researchers are exploring the expressibility and trainability of two-dimensional pairwise quantum-circuit ansatz, which could enhance the performance of variational quantum algorithms and quantum machine learning methods. This development is crucial as it can potentially accelerate the advancement of quantum computing, thereby narrowing the timeline for migrating to quantum-resistant cryptographic protocols. The investigation of native 2D connectivity patterns in parameterized quantum circuits may lead to more efficient and scalable quantum systems1. As quantum hardware continues to evolve, the urgency to plan for post-quantum cryptography increases, making research in this area vital for maintaining long-term data security. The exploration of 2D quantum-circuit ansatz designs is a significant step towards harnessing the full potential of quantum computing, and its impact on cryptographic migration strategies cannot be overstated.