3 papers
math.OC2025
Upper bound hierarchies for noncommutative polynomial optimization
Igor Klep, Victor Magron, Gaël Massé +1
This work focuses on minimizing the eigenvalue of a noncommutative polynomial subject to a finite number of noncommutative polynomial inequality constraints. Based on the Helton-Mc…
math.RA2025
Matrix evaluations of noncommutative rational functions and Waring problems
Matej BreÅ¡ar, Jurij VolÄiÄ
Let be a nonconstant noncommutative rational function in variables over an algebraically closed field of characteristic 0. We show that for large enough, there exis…
quant-ph2024
Maximal device-independent randomness in every dimension
Máté Farkas, Jurij VolÄiÄ, Sigurd A. L. Storgaard +2
Random numbers are used in a wide range of sciences. In many applications, generating unpredictable private random numbers is indispensable. Device-independent quantum random numbe…