Nonlinear Geometric Quantum State Calculation
Jincheng Zhang
Abstract
This paper introduces a novel quantum state calculation method based on non-linear geometric structures. Traditional quantum state calculation methods primarily focus on the quantum states of individual qubits, while this approach leverages non-linear geometry to simulate quantum systems and achieve precise state calculations. The core mechanism involves using non-linear geometric structures to emulate the quantum system, utilizing non-linear properties to achieve accurate calculations. The paper explores the potential of this method for analyzing and manipulating quantum states, offering a fundamentally different approach to quantum state computation. This work presents a theoretical framework and preliminary experimental demonstrations, demonstrating the feasibility of this new method for tackling complex quantum system simulations.