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hal.structure.identifierLaboratoire d'Intégration des Systèmes et des Technologies [LIST (CEA)]
dc.contributor.authorDARTOIS, Stéphane
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMALE, Camille
hal.structure.identifierLaboratoire de Physique Théorique [LPT]
hal.structure.identifierCohérence Quantique (LPT) [ICQ]
dc.contributor.authorNECHITA, Ion
dc.date.accessioned2024-04-04T02:33:29Z
dc.date.available2024-04-04T02:33:29Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190484
dc.description.abstractEnThe tensor flattenings appear naturally in quantum information when one produces a density matrix by partially tracing the degrees of freedom of a pure quantum state. In this paper, we study the joint $^*$-distribution of the flattenings of large random tensors under mild assumptions, in the sense of free probability theory. We show the convergence toward an operator-valued circular system with amalgamation on permutation group algebras for which we describe the covariance structure. As an application we describe the law of large random density matrix of bosonic quantum states.
dc.language.isoen
dc.title.enThe $\mathfrak S_k$-circular limit of random tensor flattenings
dc.typeDocument de travail - Pré-publication
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
dc.subject.halPhysique [physics]/Physique Quantique [quant-ph]
dc.identifier.arxiv2307.11439
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04179139
hal.version1
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04179139v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DARTOIS,%20St%C3%A9phane&MALE,%20Camille&NECHITA,%20Ion&rft.genre=preprint


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