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SUMMARY:Dmitry Melnikov (International Institute of Physics)
DTSTART:20210528T160000Z
DTEND:20210528T170000Z
DTSTAMP:20260423T024614Z
UID:TQFT/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/40/">En
 tanglement and complexity from TQFT</a>\nby Dmitry Melnikov (International
  Institute of Physics) as part of Topological Quantum Field Theory Club (I
 ST\, Lisbon)\n\n\nAbstract\nIn the 1990s Aravind proposed that topological
  links can be used to classify different patterns of quantum entanglement.
  One way this connection can be investigated is through an appropriate qua
 ntum mechanical definition of knots. I will start from the category theory
  definition of a TQFT and derive a relation between measures of quantum en
 tanglement and topological invariants of links. We will see how patterns o
 f quantum entanglement emerge in the TQFT picture. Meanwhile\, complexity 
 is a complementary measure of quantum correlations. In the TQFT case\, it 
 can also be related to topological invariants. I will discuss a few defini
 tions of complexity for several families of knots and links.\n
LOCATION:https://researchseminars.org/talk/TQFT/40/
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