Separability criteria via states of projective two-designs

Special types of measurements are widely used in quantum information processing. The task to detect entangled states can arise within an intermediate stage of the protocol to be performed. It is inevitable in many questions, and it is desirable to study separability criteria derived with different choices of selected states. This study aims to examine such criteria for quantum measurements assigned to projective two-designs. The considered approaches use the so-called correlation measure and the corresponding correlation matrix. Separability criteria for multipartite systems are also derived.