Nano-Device Behavior Determination via Iterative Quantum Approximation

The patent segments the computational process into two distinct parts: (1) a quantum method portion that computes only critical parameters with high precision, and (2) an approximate method portion that uses these parameters for the complete device behavior analysis. This segmentation allows the expensive quantum calculations to be limited to only the most essential parameters, while the bulk of the computation uses efficient approximate methods, thereby resolving the contradiction between precision and computational cost.

The patent applies partial action by using quantum methods only partially - specifically for computing certain key parameters rather than solving the complete device behavior problem. The remaining portion is handled by approximate methods. This partial application of the expensive quantum approach maintains accuracy where it matters most while avoiding the prohibitive computational cost of applying quantum methods universally.

The patent introduces parameters computed by quantum methods as intermediaries that bridge the gap between accurate quantum physics and efficient approximate methods. These parameters serve as mediators that carry the essential quantum mechanical information into the approximate method framework, allowing the approximate methods to produce accurate results without directly solving the full quantum problem, thus maintaining both low computational cost and high accuracy.

The patent performs preliminary quantum calculations to extract key parameters before applying the approximate methods. This preliminary action prepares the necessary accurate inputs in advance, allowing the subsequent approximate method calculations to proceed efficiently with pre-computed high-precision parameters, thereby achieving both computational efficiency and accuracy.