Information storage capacity of discrete spin systems

Beni Yoshida

We present a large class of three-dimensional spin models that possess topological order with stability against local perturbations, but are beyond description of topological quantum field theory. Conventional topological spin liquids, on a formal level, may be viewed as condensation of stringlike extended objects with discrete gauge symmetries, being at fixed points with continuous scale symmetries. In contrast, ground states of fractal spin liquids are condensation of highly fluctuating fractal objects with certain algebraic symmetries, corresponding to limit cycles under real-space renormalization group transformations which naturally arise from discrete scale symmetries of underlying fractal geometries. A particular class of three-dimensional models proposed in this paper may potentially saturate quantum information storage capacity for local spin systems.

Vittorio Giovannetti, Rosario Fazio

Davide Rossini

Rajan Shrestha

This paper introduces a quantized approach to information flow in superconductors, hypothesizing that information is carried by discrete units, "informanons," associated with Cooper pairs. A novel wave equation, derived within a "digital quantum mechanics" framework, describes the dynamics of these informanons in temperature-entropy space, challenging conventional wavefunction interpretations. An entropic model of quantum memory is presented, revealing an inverse relationship between memory capacity and stored information, suggesting wave-like behavior and potential for high-density storage. This model provides a new perspective on quantum information reduction and transmission, offering insights into the fundamental nature of information and its storage in superconducting systems.

APOLLARO T. J. G, Francesco Plastina

Jincheng Zhang

This paper investigates the potential of quantum chaotic systems to store information entropy. We propose a framework leveraging the inherent complexity of chaotic states in quantum systems to facilitate information storage. The core concept involves mapping the dynamics of a quantum chaotic system to represent and preserve information, drawing parallels between the storage capacity of chaos and the concept of entropy. We explore theoretical formulations of this approach, focusing on the relationship between the system's parameters, the generated chaotic behavior, and the resulting information storage capacity. Our work aims to contribute to the burgeoning field of quantum information storage and potentially illuminate the fundamental connection between chaos and information processing. The methodology presented allows for a novel approach to information storage using quantum phenomena, offering a theoretical foundation for future research and development. The core claim is the utilization of quantum chaotic states to achieve information entropy storage, while the core mechanism involves combining the complexity of chaotic states with the storage capabilities of entropy. ---