Self-Adaptive Geometric Field Theory for Quantum State Generation
Jincheng Zhang
Abstract
This paper presents a novel approach to quantum state generation leveraging the principles of self-adaptive geometric field theory. Traditional methods often rely on deterministic classical approaches, limiting the potential for nuanced and precisely controlled quantum states. We propose a framework that dynamically adjusts geometric parameters to mimic the evolution of quantum systems, offering unprecedented control and adaptability in generating specific quantum states. The core mechanism focuses on utilizing geometric fields to represent and evolve quantum states, enabling a fundamentally different approach to state creation. This research explores the potential of this technique to overcome limitations inherent in conventional quantum state generation, leading to new opportunities in quantum simulation and information processing. The investigation will detail the design of a self-adaptive geometric field theory, its implementation, and preliminary results demonstrating the capability to generate complex quantum states.