Quantum Signal Processing: A Topological Optimization Approach
Jincheng Zhang
Abstract
Quantum Signal Processing (QSP) represents a paradigm shift in signal processing, leveraging the unique properties of quantum mechanics to achieve novel optimization and enhancement techniques. This paper introduces a novel QSP algorithm employing quantum entanglement to guide signal manipulation and extraction. We propose a framework where quantum entanglement is utilized to optimize the energy and phase of a signal, thereby enhancing its extraction capabilities. The core mechanism hinges on exploiting the topological properties of entangled states, allowing for the creation of intricate feedback loops and dynamic adjustment of signal parameters. Our investigation demonstrates the potential of this approach to surpass traditional methods in terms of signal fidelity, robustness, and efficiency. This work explores the design and implementation of a QSP algorithm focused on signal optimization, highlighting the advantages of quantum entanglement within the framework of signal processing.