2 citations · 2 across the 7 of their papers we have counts for
8 papers
Convergence of spectral smoothings from compact quantum group actions
Trevor Camper, Dimitrios Giannakis, Gage Hoefer
In this note, we study complete and quantum Gromov-Hausdorff convergence of operator systems obtained using smoothings of C*-algebras, where our smoothings arise from the action of…
Affiliated operators for classical and quantum control
Dimitrios Giannakis, Gage Hoefer
Using techniques from the theory of von Neumann algebras, we propose a framework for addressing questions of controllability of bilinear systems on infinite dimensional Hilbert spa…
Morita equivalence for quantum graphs
Alexandros Chatzinikolaou, Gage Hoefer, Nikolaos Koutsonikos-Kouloumpis +1
We introduce an operator-algebraic framework for Morita equivalence of quantum graphs based on -equivalence of operator systems introduced by Eleftherakis, Kakariadis and Todoro…
The hypergraph isomorphism game, Hopf algebras and Galois extensions
Georgios Baziotis, Alexandros Chatzinikolaou, Gage Hoefer
We develop an algebraic and operational framework for quantum isomorphisms of hypergraphs, using tools from compact quantum group theory. We introduce a new synchronous version of…
Transfer of quantum game strategies
Gage Hoefer
We develop a method for the transfer of perfect strategies between various classes of two-player, one round cooperative non-local games with quantum inputs and outputs using the si…
Homomorphisms of quantum hypergraphs
Gage Hoefer, Ivan G. Todorov
We introduce quantum homomorphisms between quantum hypergraphs through the existence of perfect strategies for quantum non-local games, canonically associated with the quantum hype…
Quantum hypergraph homomorphisms and non-local games
Gage Hoefer, Ivan G. Todorov
Using the simulation paradigm in information theory, we define notions of quantum hypergraph homomorphisms and quantum hypergraph isomorphisms, and show that they constitute partia…
On the Geometry of Numerical Ranges Over Finite Fields
Kristin A. Camenga, Brandon Collins, Gage Hoefer +4
Numerical ranges over a certain family of finite fields were classified in 2016 by a team including our fifth author. Soon afterward, in 2017 Ballico generalized these results to a…