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Robust interior point method for quantum key distribution rate computation
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 …
key rate calculation problem, are powerful in principle. However, the practicality of the …
Exploiting structure in quantum relative entropy programs
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
(self-dual and homogeneous) cones are amenable to highly efficient primal-dual interior …