A Genuine Multipartite Entanglement Measure: The Geometric Mean of Total Concurrence

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 induc