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BEGIN:VEVENT
UID:1-189@lptms.universite-paris-saclay.fr
DTSTART:20131022T110000Z
DTEND:20131022T120000Z
DTSTAMP:20131009T071949Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-fabio-deelan-cunden/
SUMMARY:Séminaire du LPTMS: Fabio Deelan Cunden - LPTMS\, salle 201\, 2èm
 e étage\, Bât 100\, Campus d'Orsay - 22 Oct 13 11:00
DESCRIPTION:Polarized ensembles of random pure states\n \nFabio  Deelan C
 unden\, Dipartimento di Matematica\, Università di Bari\nIn the last year
 s many researchers  have been investigating  the typical properties of r
 andom pure states\, i.e. unit vectors drawn at ``random'' from the Hilbert
  space associated to a quantum system. This subject has attracted the atte
 ntion in several directions\, and some important results have been achieve
 d. The standard ensemble which has been intensively investigated is that o
 f random pure states  with measure induced by the Haar measure on the uni
 tary group. This ensemble\, being the maximally symmetric one\, implements
  in a natural way the  case of minimal knowledge on a quantum state. We 
 recently presented a new family of polarized ensembles of random pure quan
 tum states. Our idea is to move beyond the unbiased ensemble by using a na
 tural operation at hand in the Hilbert space\, namely  superposition of v
 ector states. These ensembles are quite manageable and manifestly show tha
 t the unitarily invariant measures interact nicely with the operation of l
 inear superposition of states. Our approach has been oriented to the study
  of  typical bipartite entanglement between subsystems\, as measured by t
 he local purity. This strategy yields an efficient and simple sampling of 
 random pure states with fixed value of purity\, and paves the way to furth
 er explorations and a deeper characterization of the geometry of isopurity
  manifolds. Cunden F D\, Facchi P\, Florio G (2013) J. Phys. A: Math. Theo
 r. 46\, 315306.
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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