The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems - Archive ouverte HAL
Article Dans Une Revue Commun.Math.Phys. Année : 2023

The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems

Benoît Collins
Luca Lionni
  • Fonction : Auteur

Résumé

We consider the recently introduced generalization of the Harish-Chandra--Itzykson--Zuber integral to tensors and discuss its asymptotic behavior when the characteristic size N of the tensors is taken to be large. This study requires us to make assumptions on the scaling with N of the external tensors. We analyze a two-parameter class of asymptotic scaling ansätze, uncovering several non-trivial asymptotic regimes. This study is relevant for analyzing the entanglement properties of multipartite quantum systems. We discuss potential applications of our results to this domain, in particular in the context of randomized local measurements.

Dates et versions

hal-03574506 , version 1 (15-02-2022)

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Citer

Benoît Collins, Razvan Gurau, Luca Lionni. The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems. Commun.Math.Phys., 2023, 401 (1), pp.669-716. ⟨10.1007/s00220-023-04653-5⟩. ⟨hal-03574506⟩
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