Title: Non-Linear Time-Scaling for Wave Function Collapse

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Abstract Quantum systems often exhibit complex behaviors, and the collapse of wave function states remains a fundamental challenge in quantum computing. Traditional approaches often rely on discrete steps and linear time-evolution, which can be slow and inefficient. This paper investigates the potential of non-linear time-scaling as a novel approach to accelerate the collapse of quantum states. We propose a dynamic, non-linear scaling of the time-evolution operator, aiming to achieve a more efficient and potentially faster collapse. This necessitates a sophisticated mathematical framework to govern this dynamic process. The core mechanism centers around identifying and exploiting the inherent non-linearity within the time-evolution operator, allowing for a significantly reduced computational cost compared to traditional methods. We outline a theoretical framework and preliminary simulation results demonstrating the efficacy of this approach in a simplified quantum system. The goal is to explore a paradigm shift in quantum computation, moving away from single-state calculations toward a dynamic, time-scale-driven collapse.

DOI: 10.5281/zenodo.22483134

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