High-dimensional noise-based logical controller

TL;DR

This paper presents a high-dimensional noise-based logic control scheme inspired by quantum informatics, achieving exponential speedup in control operations through a novel 'Dictatorial control' method.

Contribution

The paper introduces a new noise-based logic control scheme that leverages high-dimensional spaces for efficient control and optimization, including a concrete 'Dictatorial control' realization.

Findings

Exponential speedup in control operations using noise-based logic.

Implementation of 'Dictatorial control' as a concrete example.

Potential for high-dimensional control in physical systems.

Abstract

We introduce a scheme for controlling physical and other quantities; utilizing noise-based logic for control-and-optimization with high dimensionality, similarly how the Hilbert space of quantum informatics can be utilized for such purpose. As a concrete realization of the noise-based control scheme, we introduce "Dictatorial control" where noise-based logic results in an exponential speedup of operation.