Entanglement structures in qubit systems

TL;DR

This paper investigates entanglement patterns in pure states of non-interacting qubits using negativity and tangles, aiming to understand holographic geometry emergence through quantum information constraints.

Contribution

It introduces measures involving entanglement negativity to analyze entanglement structures in qubit systems, connecting quantum information principles with holographic geometry insights.

Findings

Constraints like Araki-Lieb saturation are examined in qubit states

Monogamy of mutual information is analyzed in simple qubit models

Qubit systems serve as models for exploring geometry emergence

Abstract

Using measures of entanglement such as negativity and tangles we provide a detailed analysis of entanglement structures in pure states of non-interacting qubits. The motivation for this exercise primarily comes from holographic considerations, where entanglement is inextricably linked with the emergence of geometry. We use the qubit systems as toy models to probe the internal structure, and introduce some useful measures involving entanglement negativity to quantify general features of entanglement. In particular, our analysis focuses on various constraints on the pattern of entanglement which are known to be satisfied by holographic sates, such as the saturation of Araki-Lieb inequality (in certain circumstances), and the monogamy of mutual information. We argue that even systems as simple as few non-interacting qubits can be useful laboratories to explore how the emergence of the bulk geometry may be related to quantum information principles.