基于非线性模型的量子算法设计
Jincheng Zhang
Abstract
This paper introduces a novel quantum algorithm design approach leveraging non-linear models. Traditional quantum algorithm design relies heavily on classical optimization techniques, limiting the applicability of quantum computation to specific problem domains. We propose a new method that dynamically adjusts the problem's structure through a non-linear model, enabling the creation of highly efficient quantum algorithms tailored to particular computational challenges. This approach systematically transforms a complex problem into a simplified, solvable optimization problem, facilitating the development of quantum solutions that surpass the capabilities of traditional methods. The core mechanism involves constructing a non-linear model that governs the problem's evolution, allowing for the implementation of quantum circuits that exploit specific properties. This research explores the potential of this technique to unlock new avenues in quantum algorithm development and provide a foundation for more efficient quantum computation.