Title: Fractal Phase-Locking for Quantum Simulation
Jincheng Zhang
Abstract
Fractal Phase-Locking for Quantum Simulation explores a novel approach to stabilizing quantum states within complex, multi-scale simulations, promising enhanced fidelity of quantum computations. This research investigates the application of fractal geometry as a mechanism for phase-locking, aiming to mitigate decoherence and improve the robustness of quantum algorithms. The core of the work involves the design and implementation of a 'Fractal Phase-Locking' algorithm that generates a self-similar fractal structure within the simulation space, thereby influencing the propagation and entanglement of quantum information. This paper presents a detailed mathematical framework for the algorithm, demonstrating its effectiveness through simulations and analysis of quantum state preservation. The results highlight the potential of this approach to overcome limitations in current quantum simulation techniques.