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This is not much of an answer, but is probably too long for a comment... I don't believe that there's a canonical way of doing this. You'd be best off understanding why you're asking the question, and what you want to get out of it. From there, you tailor how you're going to measure it. But multipartite entanglement is a really messy problem, even just for ...


The Kerenidis-Prakash algorithm was groundbreaking, until Ewin Tang fixed the ground back up: Quanta Magazine: Major Quantum Computing Advance Made Obsolete by Teenager.

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