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SUMMARY:Highly Entangled States With Almost No Secrecy - Matthias Christan
 dl\, LMU Munich
DTSTART:20091022T130000Z
DTEND:20091022T140000Z
UID:TALK21112@talks.cam.ac.uk
CONTACT:Dr Alastair Kay
DESCRIPTION:In this talk\, we will illuminate the relation between entangl
 ement and secrecy by providing the first example of a quantum state that i
 s highly entangled\, but from which\, nevertheless\, almost no secrecy can
  be extracted. More precisely\, we provide two bounds on the bipartite ent
 anglement of the totally antisymmetric state in dimension d. First\, we sh
 ow that the amount of secrecy that can be extracted from the state is low\
 , to be precise it is bounded by O(1/d). Second\, we show that the state i
 s highly entangled in the sense that we need a large amount of singlets to
  create the state: entanglement cost is larger than a constant\, independe
 nt of d.\nIn order to obtain our results we use representation theory (ple
 thysms!!!)\, linear programming and the entanglement measure known as squa
 shed entanglement. This is joint work with Andreas Winter and Norbert Schu
 ch.\n
LOCATION:MR15\, Centre for Mathematical Sciences
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