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SUMMARY:Henry Wolkowicz (University of Waterloo)
DTSTART:20210405T133000Z
DTEND:20210405T143000Z
DTSTAMP:20260423T035055Z
UID:OWOS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWOS/42/">Ro
 bust Interior Point Methods for Quantum Key Rate Computation for Quantum K
 ey Distribution</a>\nby Henry Wolkowicz (University of Waterloo) as part o
 f One World Optimization seminar\n\n\nAbstract\nWe use facial reduction on
  the nonlinear objective function and derive a stable reformulation of the
  quantum key rate for finite dimensional quantum key distribution (QKD) pr
 oblems. This avoids the difficulties for current algorithms from singulari
 ties that arise due to loss of positive definiteness for the distributions
 . This allows for the derivation of an efficient Gauss-Newton interior poi
 nt approach. We provide provable lower and upper bounds for the hard nonli
 near semidefinite programming problem.\n\nEmpirical evidence illustrates t
 he strength of this approach as we obtain high accuracy solutions and theo
 retically guaranteed upper and lower bounds for QKD. We compare with other
  current approaches in the literature.\n\nJoint work with: Hao Hu\, Jiyoun
 g Im\, Jie Lin\, Norbert Lutkenhaus.\n\nThe address and password of the zo
 om room of the seminar are sent by e-mail on the mailinglist of the semina
 r one day before each talk\n
LOCATION:https://researchseminars.org/talk/OWOS/42/
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