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X-WR-CALNAME:[ICQ] Qian Chen (ENS Lyon) An algorithm for testing k-block-po
 sitivity
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TZUNTIL:20261025T010000Z
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DESCRIPTION:k-block-positivity is an important concept in quantum entanglem
 ent theory. A k-block-positive operator serves as a witness for states wit
 h Schmidt number k. It is also closely related to key notions such as boun
 d entanglement and the distillability of entanglement\, exemplified by the
  2-copy distillability conjecture. However\, determining whether a Hermiti
 an operator is k-block-positive remains a challenging problem. In this tal
 k\, we reformulate the testing problem as an optimization problem\, which 
 is then incorporated into the semidefinite programming (SDP) framework. Th
 e number of SDP variables involved is substantial. To alleviate this\, we 
 explore symmetry-reduced SDP based on Schur-Weyl duality. Furthermore\, we
  apply representation theory to estimate the number of SDP variables requi
 red for this algorithm\, offering insights into hierarchy collapse in extr
 eme cases. \n\n\n\nhttps://combalgo.labri.fr/pmwiki.php/Groupe/Info-Quanti
 que\n\nImport automatique depuis https://webmel.u-bordeaux.fr/home/bf-labr
 i.ca@u-bordeaux.fr/gt.info-quantique.ics par sync_icals_to_drupal.py pour 
 gt-iq
DTSTART;TZID=Europe/Paris:20250213T110000
DTEND;TZID=Europe/Paris:20250213T120000
LOCATION:Room 073
SEQUENCE:0
SUMMARY:[ICQ] Qian Chen (ENS Lyon) An algorithm for testing k-block-positiv
 ity
TRANSP:OPAQUE
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