Information Theory Under Non-Linear Random Matrix Quantum Simulation
Jincheng Zhang
Abstract
This paper explores the potential of information theory to guide the design of a novel quantum simulation technique. We propose a method based on non-linear random matrices, leveraging quantum entanglement to achieve precise state measurements and analysis. The core claim is that this approach overcomes limitations of traditional classical simulation methods, particularly in modeling complex quantum systems, by exploiting the unique properties of entanglement. This research will investigate the mathematical framework for this simulation, focusing on the role of entanglement in generating and manipulating quantum states. The paper presents a conceptual outline of the algorithm and discusses its potential applications in various quantum computing and simulation contexts.