convex cones 1enriched category theory 1Lorentz cones 1matrix algebras 1module equivalence 1nonunital operator systems 1ordered Banach spaces 1positive semidefinite cones 1purification principle 1quantum theory 1tensor cones 1
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quant-ph2026
Purifications for Convex Cones
Felix Campidell, Tim Netzer
The paper studies purification of states using the geometry of finite‑dimensional convex cones, proving that interior points of indecomposable homogeneous cones (e.g., Lorentz cone…
quant-ph2026
Topology of the Set of Entangled State
Maximilian Illmer, Tim Netzer, Michael Wolf +1
We investigate the topology of the set of entangled bipartite density operators acting on . We start by showing that $\mathsf E…
quant-ph2025
Border Ranks of Positive and Invariant Tensor Decompositions: Applications to Correlations
Andreas Klingler, Tim Netzer, Gemma De les Coves
The matrix rank and its positive versions are robust for small approximations, i.e. they do not decrease under small perturbations. In contrast, the multipartite tensor rank can co…