Lazy states, discordant states and entangled states for 2-qubit systems

TL;DR

This paper explores the relationships among lazy, discordant, and entangled states in 2-qubit systems, revealing overlaps and distinctions to better understand quantum correlations.

Contribution

It provides a hierarchy diagram illustrating the complex relationships among lazy, discordant, and entangled states in 2-qubit systems.

Findings

Many lazy states are discordant

Many lazy states are entangled

Many mixed entangled states are not lazy

Abstract

We investigate the lazy states, entangled states and discordant states for 2-qubit systems. We show that many lazy states are discordant, many lazy states are entangled, and many mixed entangled states are not lazy. With these investigations, we provide a laziness-discord-entanglement hierarchy diagram about 2-qubit quantum correlations.