17 citations · 91 across the 25 of their papers we have counts for
5 papers · 1 filter
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.…
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…
Schur multipliers and mixed unitary maps
Samuel J. Harris, Rupert H. Levene, Vern I. Paulsen +2
We consider the tensor product of the completely depolarising channel on matrices with the map of Schur multiplication by a correlation matrix and characte…
Complexity and capacity bounds for quantum channels
Rupert H. Levene, Vern I. Paulsen, Ivan G. Todorov
We generalise some well-known graph parameters to operator systems by considering their underlying quantum channels. In particular, we introduce the quantum complexity as the dimen…
Private algebras in quantum information and infinite-dimensional complementarity
Jason Crann, David W. Kribs, Rupert H. Levene +1
We introduce a generalized framework for private quantum codes using von Neumann algebras and the structure of commutants. This leads naturally to a more general notion of compleme…