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X-WR-CALNAME:[ICQ] Aabhas Gulati (IMT) Entanglement in the Dicke subspace
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TZUNTIL:20280326T010000Z
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DTSTART:20251026T030000
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RDATE:20271031T030000
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DESCRIPTION:In this talk\, I will discuss the entanglement properties of mi
 xtures of Dicke states. These quantum states form an important subclass of
  bosonic states arising in the study of indistinguishable particles. \n\nW
 e introduce a tensor-based parametrization where the diagonal entries of t
 hese states are encoded as a symmetric tensor\, enabling a direct translat
 ion between entanglement properties and well-studied convex cones of tenso
 rs. This dictionary maps separability to completely positive tensors\, the
  PPT property to moment tensors\, entanglement witnesses to copositive ten
 sors\, and decomposable witnesses to sum of squares tensors. \n\nAs coroll
 aries of our main results\, we establish that PPT entanglement exists for 
 all multipartite systems with three qutrits or more\, disproving a recent 
 conjecture in [J. Math. Phys. 66\, 022203 (2025)]. We also show that\, for
  mixtures of Dicke states\, the PPT condition with respect to the most bal
 anced bipartition implies PPT with respect to any other bipartition. We fu
 rther connect bosonic extendibility of mixtures of Dicke states to the dua
 ls of known hierarchies for non-negative polynomials\, such as the ones by
  Reznick and Polya. We thus provide semidefinite programming relaxations f
 or separability and entanglement testing in the Dicke subspace. \n\nThis i
 s based on the work with Ion Nechita (CNRS\, LPT Toulouse) and Clément Pel
 legrini (IMT Toulouse). The preprint is available at [ https://arxiv.org/a
 bs/2602.15800 | https://arxiv.org/abs/2602.15800 ] \n\n\n\nhttps://combalg
 o.labri.fr/pmwiki.php/Groupe/Info-Quantique\n\nImport automatique depuis h
 ttps://webmel.u-bordeaux.fr/home/bf-labri.ca@u-bordeaux.fr/gt.info-quantiq
 ue.ics par sync_icals_to_drupal.py pour gt-iq
DTSTART;TZID=Europe/Paris:20260505T104500
DTEND;TZID=Europe/Paris:20260505T114500
LOCATION:LaBRI
SEQUENCE:0
SUMMARY:[ICQ] Aabhas Gulati (IMT) Entanglement in the Dicke subspace
TRANSP:OPAQUE
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