39 citations · 183 across the 49 of their papers we have counts for
59 papers
The Generalized Lax Conjecture for Strictly Hyperbolic Polynomials
Mario Kummer, Tim Netzer
We report a proof found by an artificial intelligence system for the following statement: The hyperbolicity cone of every strictly hyperbolic polynomial is spectrahedral. This esta…
Clifford Realizations of Hyperbolic Cubics
Tim Netzer
We prove the generalized Lax conjecture for cubics in five variables: their hyperbolicity cones are spectrahedral. Our approach constructs spectrahedral realizations from completel…
Non-Subhomogeneity of Minimal Operator Systems over Positive Semidefinite and Lorentz Cones
Tim Netzer
The minimal operator systems over , , and the Lorentz cones , , are not subhomogeneous. For the cone we…
Operator Systems in Duality
Markus Dannemüller, Tim Netzer
The usual dual of an infinite-dimensional order-unit space need not carry an order unit, and this is the main reason why duality for operator systems is notoriously hard. Rather th…
Subhomogeneity and Arveson Boundary of Free Polyhedra
Tim Netzer
We study subhomogeneity of the minimal operator system over a polyhedral cone, or equivalently the size of irreducible Arveson boundary points of free polyhedra. We obtain a comple…
Topology of the Set of Entangled State
Maximilian Illmer, Tim Netzer, Michael M. Wolf
We investigate the topology of the set of entangled bipartite density operators acting on . We start by showing that $\mathsf E…