I am an Assistant Professor at the Institute for Theoretical Physics at the University of Innsbruck, Austria, where I am the PI of the Mathematical Quantum Physics group. On the one hand, I work at the intersection of mathematical physics and quantum many-body physics. Some recent works:

• Separability for mixed states with operator Schmid rank two.  1903.05373 
• Mixed states in one spatial dimension: decompositions and correspondence with nonnegative matrices.  1907.03664
• Tensor decompositions on simplicial complexes with invariance.  1909.01737
• Quantum magic squares: dilations and their limitations. 1912.07332
• Approximate tensor decompositions: disappearance of many separations. 2004.10219
• Cats climb entails mammals move: preserving hyponymy in compositional distributional semantics. 2005.14134

On the other hand, I work on notions of universality in spin physics (see here), computation and beyond. This topic has been recently funded with START Prize, and there are 4 open positions in my group to work on it. Some recent works:

• Describing classical spin models as automata: a new complexity measure. 2006.03529
• Universality everywhere implies undecidability everywhere (essay).

For an introduction into some of these topics, see some of my talks, or the suggested literature at the Research Topics site of our group.

START Prize of the FWF

Assistant Professor at the University of Innsbruck

Elise Richter fellow at the Institute for Theoretical Physics, University of Innsbruck

Emmy Noether Visiting Fellow at the Perimeter Institute for Theoretical Physics, Waterloo, Canada

Postdoc at the Max Planck Institute for Quantum Optics (MPQ), Garching, Germany

Alexander von Humboldt fellow at the MPQ

PhD at the University of Innsbruck, Austria

Undergraduate Physics studies at Autonomous University of Barcelona

CV

Last update: Oct 7, 2020