485 citations · 2.2k across the 55 of their papers we have counts for
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Hyperpfaffians and Geometric Complexity Theory
Christian Ikenmeyer, Michael Walter
The hyperpfaffian polynomial was introduced by Barvinok in 1995 as a natural generalization of the well-known Pfaffian polynomial to higher order tensors. We prove that the hyperpf…
Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes
Peter Bürgisser, Cole Franks, Ankit Garg +3
This paper initiates a systematic development of a theory of non-commutative optimization. It aims to unify and generalize a growing body of work from the past few years which deve…
Quantum Brascamp-Lieb Dualities
Mario Berta, David Sutter, Michael Walter
Brascamp-Lieb inequalities are entropy inequalities which have a dual formulation as generalized Young inequalities. In this work, we introduce a fully quantum version of this dual…
Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions
Freek Witteveen, Volkher Scholz, Brian Swingle +1
The multiscale entanglement renormalization ansatz describes quantum many-body states by a hierarchical entanglement structure organized by length scale. Numerically, it has been d…
Horn conditions for quiver subrepresentations and the moment map
Velleda Baldoni, Michèle Vergne, Michael Walter
We give inductive conditions that characterize the Schubert positions of subrepresentations of a general quiver representation. Our results generalize Belkale's criterion for the i…