Entanglement criteria for mixtures of limited maximally entangled pure states for 2x3 systems

Abstract

Entangled pure states in the set of 2x3 systems were studied. We found that the class of these states constructed by subsystems of unequal dimensions cannot fully achieve maximal entanglement, hence defined as the class of limited maximally entangled pure states. For two-term convex mixtures of 2x3 limited maximally entangled pure states, entanglement can still be detected, depending on the degree of similarity of the two terms. Finally, our method of entanglement detection was applied to limited maximally entangled pure states immersed in noise.