Quantum substitutions of Pisot type, their quantum topological entropy and their use for optimal spacing

TL;DR

This paper introduces quantum substitutions of Pisot type and explores their quantum topological entropy, demonstrating their potential as algorithms for achieving optimal spacing in various applications.

Contribution

It presents the concept of quantum substitutions of Pisot type and analyzes their utility for optimal spacing, a novel approach in quantum topology.

Findings

Quantum substitutions of Pisot type are defined and characterized.

Quantum topological entropy is introduced for these substitutions.

They are shown to be useful algorithms for optimal spacing.

Abstract

Quantum substitutions of Pisot type (and their quantum topological entropy) are introduced. Their utility as algorithms for optimal spacing is analyzed.