Robust interior point method for quantum key distribution rate computation

H Hu, J Im, J Lin, N Lütkenhaus, H Wolkowicz - Quantum, 2022 - quantum-journal.org
Security proof methods for quantum key distribution, QKD, that are based on the numerical
key rate calculation problem, are powerful in principle. However, the practicality of the …

Exploiting structure in quantum relative entropy programs

K He, J Saunderson, H Fawzi - arxiv preprint arxiv:2407.00241, 2024 - arxiv.org
Quantum relative entropy programs are convex optimization problems which minimize a
linear functional over an affine section of the epigraph of the quantum relative entropy …

Quantum key distribution rates from non-symmetric conic optimization

AG Lorente, PV Parellada, M Castillo-Celeita… - arxiv preprint arxiv …, 2024 - arxiv.org
Computing key rates in quantum key distribution (QKD) numerically is essential to unlock
more powerful protocols, that use more sophisticated measurement bases or quantum …

Efficient implementation of interior-point methods for quantum relative entropy

M Karimi, L Tuncel - INFORMS Journal on Computing, 2024 - pubsonline.informs.org
Quantum relative entropy (QRE) programming is a recently popular and challenging class of
convex optimization problems with significant applications in quantum computing and …

Conic optimization with spectral functions on Euclidean Jordan algebras

C Coey, L Kapelevich… - Mathematics of Operations …, 2023 - pubsonline.informs.org
Spectral functions on Euclidean Jordan algebras arise frequently in convex optimization
models. Despite the success of primal-dual conic interior point solvers, there has been little …

Linear optimization over homogeneous matrix cones

L Tunçel, L Vandenberghe - Acta Numerica, 2023 - cambridge.org
A convex cone is homogeneous if its automorphism group acts transitively on the interior of
the cone. Cones that are homogeneous and self-dual are called symmetric. Conic …

Domain-Driven Solver (DDS) Version 2.1: a MATLAB-based software package for convex optimization problems in domain-driven form

M Karimi, L Tunçel - Mathematical Programming Computation, 2024 - Springer
Abstract Domain-Driven Solver (DDS) is a MATLAB-based software package for convex
optimization. The current version of DDS accepts every combination of the following …

Interior point and outer approximation methods for conic optimization

CDL Coey - 2022 - dspace.mit.edu
Any convex optimization problem may be represented as a conic problem that minimizes a
linear function over the intersection of an affine subspace with a convex cone. An advantage …

Euclidean Jordan algebras and some properties of strongly regular graphs

L Vieira - 2022 7th International Conference on Mathematics …, 2022 - ieeexplore.ieee.org
Consider a primitive strongly regular graph H. In this work we establish some properties of
the spectrum of H in the environment of a finite dimensional real Euclidean Jordan algebra …

Techniques for handling nonsymmetric cones in interior point algorithms

L Kapelevich - 2022 - dspace.mit.edu
Conic programs that seek to minimize a linear function over an intersection of symmetric
(self-dual and homogeneous) cones are amenable to highly efficient primal-dual interior …