Title: Quantum Simulation of Lattice Vibrations via Holographic Principle

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum simulation has emerged as a transformative approach to modeling complex quantum systems, offering unprecedented precision and capabilities compared to classical methods. This paper explores the application of the holographic principle to quantum simulation, focusing on the precise representation of vibrational modes of lattice structures. We detail a novel quantum simulation technique predicated on holographic projection, aiming to overcome limitations in current simulation methods. The core mechanism involves mapping the quantum state of the lattice to a holographic projection in a higher-dimensional space, capturing the dynamics of vibrational modes. We present a framework that demonstrates the potential for significantly enhanced accuracy and efficiency in simulating vibrational phenomena across diverse materials. The paper concludes with a discussion of the challenges and future directions for this groundbreaking approach.

DOI: 10.5281/zenodo.22265827

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