Title: Non-Linear Quantum State Collapse with Adaptive Resonance (QLC-AR)
Jincheng Zhang
Abstract
Quantum state collapse is a fundamental process in quantum mechanics, where a quantum system loses its superposition and exists in a single state. Traditional collapse methods often rely on predefined rules, limiting the system's exploration and potentially leading to suboptimal results. This paper proposes a novel approach – Non-Linear Quantum State Collapse with Adaptive Resonance (QLC-AR) – that extends this concept to non-linear systems, utilizing adaptive resonance networks to guide the collapse process. We demonstrate that QLC-AR provides a mechanism for more controlled and predictable collapses, offering a significant improvement over existing methods. The core of this work lies in dynamically adjusting the resonance network parameters to optimize the collapse trajectory, minimizing energy and stabilizing the resulting state. This research explores the potential of QLC-AR to unlock new possibilities in quantum information processing and analysis.