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SUMMARY:Freudenthal triple classification of 3-qubit entanglement - Leron 
 Borsten (Imperial College London)
DTSTART:20121122T141500Z
DTEND:20121122T151500Z
UID:TALK39935@talks.cam.ac.uk
CONTACT:Paul Skrzypczyk
DESCRIPTION:Carefully introducing the elementary background concepts\, we 
 show how the Stochastic LOCC entanglement classification of three qubits i
 s neatly captured by an \nelegant mathematical construction known as the F
 reudenthal triple system (FTS). In particular\, the four physically distin
 ct entanglement classes are given by the four FTS ranks.\nThese results ar
 e extended to four qubits via a rather curious mathematical connection to 
 black hole solutions in string theory. In this case there are 31 entanglem
 ent "families".\nFinally\, time permitting we will briefly introduce a "su
 persymmetric" extension of the qubit and its symmetries\, the superqubit\,
  and explore the possible implications for Tsirelson's \nbound in this dep
 arture from conventional quantum mechanics.
LOCATION:MR4\, Centre for Mathematical Sciences
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