14 citations · 21 across the 5 of their papers we have counts for
5 papers
Classifying Linear Matrix Inequalities via Abstract Operator Systems
Martin Berger, Tom Drescher, Tim Netzer
We systematically study how properties of abstract operator systems help classifying linear matrix inequality definitions of sets. Our main focus is on polyhedral cones, the 3-dime…
A hierarchy of semidefinite programs for generalised Einstein-Podolsky-Rosen scenarios
Matty J. Hoban, Tom Drescher, Ana Belén Sainz
Correlations in Einstein-Podolsky-Rosen (EPR) scenarios, captured by \textit{assemblages} of unnormalised quantum states, have recently caught the attention of the community, both…
Quantum magic squares: dilations and their limitations
Gemma De las Cuevas, Tom Drescher, Tim Netzer
Quantum permutation matrices and quantum magic squares are generalizations of permutation matrices and magic squares, where the entries are no longer numbers but elements from arbi…
Separability for mixed states with operator Schmidt rank two
Gemma De las Cuevas, Tom Drescher, Tim Netzer
The operator Schmidt rank is the minimum number of terms required to express a state as a sum of elementary tensor factors. Here we provide a new proof of the fact that any biparti…
On Projections of Free Semialgebraic Sets
Tom Drescher, Tim Netzer, Andreas Thom
An important result in real algebraic geometry is the projection theorem: every projection of a semialgebraic set is again semialgebraic. This theorem and some of its conclusions l…