Core Claim: A Self-Adaptive Topological Quantum State Expansion Algorithm
Jincheng Zhang
Abstract
This paper introduces a novel quantum state expansion algorithm based on self-adaptive topology, aiming to enhance the range of achievable quantum states and provide powerful tools for optimization and control within quantum computing. The core mechanism involves leveraging topological structure to dynamically expand the Hilbert space of quantum states, offering a pathway to more efficient quantum computations. Traditional approaches often rely on manual design, hindering the potential for automated learning and optimization. This work proposes a framework that automatically discovers and utilizes topological structures to expand the Hilbert space, offering a new paradigm for quantum state manipulation. The algorithm's potential impact lies in its ability to unlock new computational capabilities and facilitate the development of more sophisticated quantum algorithms.