39 citations · 183 across the 49 of their papers we have counts for
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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…
Tensor decompositions on simplicial complexes with invariance
Gemma De las Cuevas, Matt Hoogsteder Riera, Tim Netzer
We develop a framework to analyse invariant decompositions of elements of tensor product spaces. Namely, we define an invariant decomposition with indices arranged on a simplicial…
Mixed states in one spatial dimension: decompositions and correspondence with nonnegative matrices
Gemma De las Cuevas, Tim Netzer
We study six natural decompositions of mixed states in one spatial dimension: the Matrix Product Density Operator (MPDO) form, the local purification form, the separable decomposit…
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…
Free Semialgebraic Geometry
Tim Netzer
This is a survey article on the currently very active research area of free (=non-commutative) real algebra and geometry. We first review some of the important results from the com…