ABSTRACT Entanglement is a fundamental resource in quantum information science. In this work, we introduce the geometric total concurrence (GTC), a new measure of genuine multipartite entanglement (GME) for ‐partite systems based on the concept of total concurrence. The GTC satisfies a key criterion by assigning higher entanglement to GHZ states than to W states. We derive analytically computable lower bounds for the GTC using PPT and realignment criteria. Furthermore, we show that the GTC induces an entanglement ordering distinct from existing measures, providing a unique perspective on multipartite correlations. Through detailed examples, we demonstrate that the GTC offers improved sensitivity in detecting entanglement and sharper discrimination among different types of entangled states, establishing it as a practical tool for characterizing and quantifying GME.
Liang et al. (Sun,) studied this question.