Robust Interior Point Methods for Quantum Key Rate Computation for Quantum Key Distribution
Henry Wolkowicz (University of Waterloo)
Abstract: We 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) problems. This avoids the difficulties for current algorithms from singularities that arise due to loss of positive definiteness for the distributions. This allows for the derivation of an efficient Gauss-Newton interior point approach. We provide provable lower and upper bounds for the hard nonlinear semidefinite programming problem.
Empirical evidence illustrates the strength of this approach as we obtain high accuracy solutions and theoretically guaranteed upper and lower bounds for QKD. We compare with other current approaches in the literature.
Joint work with: Hao Hu, Jiyoung Im, Jie Lin, Norbert Lutkenhaus.
optimization and control
Audience: learners
Comments: The address and password of the zoom room of the seminar are sent by e-mail on the mailinglist of the seminar one day before each talk
One World Optimization seminar
Series comments: Description: Online seminar on optimization and related areas
The address and password of the zoom room of the seminar are sent by e-mail on the mailinglist of the seminar one day before each talk
| Organizers: | Sorin-Mihai Grad*, Radu Ioan Boț, Shoham Sabach, Mathias Staudigl |
| *contact for this listing |