Spherical P-spin glass at $P\to\infty$ and the information storing by continuous spins

TL;DR

This paper investigates the spherical P-spin glass model as P approaches infinity, demonstrating how information can be stored in its ferromagnetic vacuum state and calculating the maximum noise level permissible in this phase.

Contribution

It introduces the P→∞ limit in the spherical P-spin glass and analyzes information storage capabilities and noise thresholds in the ferromagnetic phase.

Findings

Information can be stored in the vacuum configuration of the ferromagnetic phase.

Maximum noise level in the ferromagnetic phase was calculated.

The P→∞ limit provides insights into the model's behavior at large P.

Abstract

The $P\to\infty$ limit was considered in the spherical P-spin glass. It is possible to store information in the vacuum configuration of ferromagnetic phase. Maximal allowed level of noise was calculated in ferromagnetic phase.