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

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 for 2-qubit quantum correlations.