Title: Holographic Quantum Simulation with Wavefunction Encoding
Jincheng Zhang
Abstract
Holographic quantum simulation, a theoretical approach promising enhanced fidelity in quantum system modeling, has remained largely unexplored in practical implementation. This paper presents a novel technique for encoding wavefunction information onto a holographic projection of the system's geometry, paving the way for computationally efficient and accurate simulations of complex quantum systems. We detail a method for generating a holographic representation of the system's geometry, utilizing a differential geometry approach to map the system's quantum state onto a higher-dimensional holographic projection. This projection allows for the simulation of complex systems with significantly improved fidelity compared to traditional methods. The core mechanism focuses on leveraging the inherent properties of holographic imaging to overcome the computational bottleneck inherent in quantum simulations. We explore the potential of this technique for simulating various quantum systems, including molecular dynamics and quantum field theory, and discuss the challenges and future directions of this research.