Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy

TL;DR

This paper demonstrates that reduced density matrices of quantum spin chains typically exhibit maximum entropy, using random matrix theory and Matrix Product States to establish this principle.

Contribution

It introduces a novel approach combining random matrix techniques with Matrix Product States to explain entropy properties of quantum spin chains.

Findings

Reduced density matrices generally have maximum entropy.

The approach bridges random matrix theory with quantum many-body physics.

Supports the principle of maximum entropy in quantum systems.

Abstract

Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.