17 citations · 91 across the 25 of their papers we have counts for
27 papers
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…
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.…
Orthogonalisability of joins of graphs
Rupert H. Levene, Polona Oblak, Helena Šmigoc
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…
Values of cooperative quantum games
Jason Crann, Rupert H. Levene, Ivan G. Todorov +1
We develop a resource-theoretical approach that allows us to quantify values of two-player, one-round cooperative games with quantum inputs and outputs, as well as values of quantu…
Bordering of Symmetric Matrices and an Application to the Minimum Number of Distinct Eigenvalues for the Join of Graphs
Aida Abiad, Shaun M. Fallat, Mark Kempton +5
An important facet of the inverse eigenvalue problem for graphs is to determine the minimum number of distinct eigenvalues of a particular graph. We resolve this question for the j…
Spectral arbitrariness for trees fails spectacularly
Shaun M. Fallat, H. Tracy Hall, Rupert H. Levene +4
If is a graph and is an ordered multiplicity list which is realizable by at least one symmetric matrix with graph , what can we say about the eigenvalues of all…