485 citations · 2.2k across the 55 of their papers we have counts for
55 papers
Interior-point methods on manifolds: theory and applications
Hiroshi Hirai, Harold Nieuwboer, Michael Walter
Interior-point methods offer a highly versatile framework for convex optimization that is effective in theory and practice. A key notion in their theory is that of a self-concordan…
Moment cone membership for quivers in strongly polynomial time
Michèle Vergne, Michael Walter
In this note we observe that membership in moment cones of spaces of quiver representations can be decided in strongly polynomial time, for any acyclic quiver. This generalizes a r…
(No) Quantum space-time tradeoff for USTCON
Simon Apers, Stacey Jeffery, Galina Pass +1
Undirected -connectivity is important both for its applications in network problems, and for its theoretical connections with logspace complexity. Classically, a long line of w…
Fun with replicas: tripartitions in tensor networks and gravity
Geoff Penington, Michael Walter, Freek Witteveen
We introduce a new correlation measure for tripartite pure states that we call . The quantity is symmetric with respect to the subsystems , , , invariant under l…
The minimal canonical form of a tensor network
Arturo Acuaviva, Visu Makam, Harold Nieuwboer +4
Tensor networks have a gauge degree of freedom on the virtual degrees of freedom that are contracted. A canonical form is a choice of fixing this degree of freedom. For matrix prod…
Random tensor networks with nontrivial links
Newton Cheng, Cécilia Lancien, Geoff Penington +2
Random tensor networks are a powerful toy model for understanding the entanglement structure of holographic quantum gravity. However, unlike holographic quantum gravity, their enta…