Analog Quantum Gate Preparation for Single-Qubit Addressability

The patent segments the quantum operation into three distinct rotation components: a first global rotation applied to all particles, a second local rotation applied to a specific subset of particles, and a third global rotation applied to all particles. This segmentation allows the system to achieve single-qubit addressability (improving adaptability) while maintaining a relatively simple connectivity model (managing device complexity), as the local rotation can be applied to any desired subset of qubits without requiring direct physical connectivity between all qubit pairs.

The patent employs parameter changes by optimizing the rotation angles (θ₁, θ₂, θ₃) and pulse durations to minimize the difference between the implemented analog operation and the target digital gate. The variational optimization process adjusts these parameters iteratively to achieve high gate fidelity. This allows the system to maintain operational flexibility (ability to implement various gates) while achieving manufacturing precision (high fidelity), as the optimized parameters compensate for the inherent approximations in the analog implementation.

The patent applies preliminary action by using the analytical expression for the effective rotation angle to guide the variational optimization process. Rather than performing a completely blind optimization, the analytical relationship provides a starting point and constraint structure that accelerates convergence. This reduces the computational time required to achieve high gate approximation accuracy, as the optimization algorithm can more efficiently navigate the parameter space using the analytical guidance.