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SUMMARY:Johann Chevrier: A bridge between trace-invariants and multipartit
 e entanglement
DTSTART:20260617T120000Z
DTEND:20260617T130000Z
DTSTAMP:20260614T025300Z
UID:indico-event-16791@indico.math.cnrs.fr
DESCRIPTION:This talk explores the connection between trace invariants - d
 escribed via colored graphs - and multipartite entanglement. After a brief
  review of the bipartite case\, where the landscape is well understood\, I
  will focus on the multipartite scenario. I will demonstrate that trace in
 variants play a crucial role in classifying multipartite entangled states\
 , particularly in the context of local unitary transformations and local o
 perations. \nBy examining specific states\, I will make the link between 
 combinatorial properties and multipartite entanglement more explicit. This
  will provide insights into well-known combinatorial quantities\, such as 
 the Gurau degree and genus\, while also introducing new quantities\, like 
 the p-complete degree.\nTime permitting\, I will discuss the relationship 
 between the average of multipartite entropies and the large N factorizatio
 n. Specifically\, I will present the first counterexample of large N facto
 rization for complex Gaussian random tensors and outline conditions under 
 which large N factorization holds.\n\nhttps://indico.math.cnrs.fr/event/16
 791/
URL:https://indico.math.cnrs.fr/event/16791/
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