RT Journal Article T1 Entangleability of cones A1 Palazuelos Cabezón, Carlos AB We solve a long-standing conjecture by Barker, proving that the minimal and maximal tensor products of two finite-dimensional proper cones coincide if and only if one of the two cones is generated by a linearly independent set. Here, given two proper cones , , their minimal tensor product is the cone generated by products of the form , where and , while their maximal tensor product is the set of tensors that are positive under all product functionals , where and . Our proof techniques involve a mix of convex geometry, elementary algebraic topology, and computations inspired by quantum information theory. Our motivation comes from the foundations of physics: as an application, we show that any two non-classical systems modelled by general probabilistic theories can be entangled. PB SpringerLink SN 1016-443X YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/95783 UL https://hdl.handle.net/20.500.14352/95783 LA eng NO G. Aubrun, L. Lami, C. Palazuelos, M. Plávala, Entangleability of cones, Geom. Funct. Anal. 31 (2021) 181–205. https://doi.org/10.1007/s00039-021-00565-5. NO Alexander von Humboldt Foundation NO Slovak Research and Development Agency NO Deutsche Forschungsgemeinschaft NO European Commission NO Comunidad de Madrid NO Ministerio de Economía y Competitividad (España) DS Docta Complutense RD 9 jun 2025