3 papers
math.OA2026
Lattices of strongly reflexive masa-bimodules
Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov
We characterise the density of the positive rank one subspace of a masa-bimodule in terms of its support. We prove that strongly reflexive masa-bimodules form a Boolean lattice und…
quant-ph2025
Unique Games and Games Based on Groups
Rupert H. Levene, Vern I. Paulsen
We study unique games and estimate some of their values. We prove that if a unique game has a quantum-assisted value close to 1, then it must have a perfect deterministic strategy.…
math.CO2025
Orthogonalisability of joins of graphs
Rupert H. Levene, Polona Oblak, Helena Å migoc
A graph is said to be orthogonalisable if the set of real symmetric matrices whose off-diagonal pattern is prescribed by its edges contains an orthogonal matrix. We determine some…