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The European Physical Journal Plus

Genuine multipartite entanglement measure based on $$\alpha $$-concurrence

Keke Wang, Zhi-Wei Wei, Shao-Ming Fei

Published May 9, 2025• 2 citations
Publisher
DOI
10.1140/epjp/s13360-025-06324-x

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Genuine multipartite entanglement measure based on α\alpha α-concurrence
Parameterized genuine multipartite entanglement measure based on α\alphaα-concurrence
Genuine Multipartite Entanglement Measure Based on ααα-concurrence
Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite ααα-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures GαααC with one parameter ααα for arbitrary multipartite states. We show that the GαααC is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of GαααC are derived for any nnn-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the GαααC can distinguish different GME states that other GME measures fail to. These results justify the potential applications of GαααC in characterizing genuine multipartite entanglements.