3 papers
math.MG2021
No dimension reduction for doubling subsets of when revisited
Florent P. Baudier, Krzysztof Swieçicki, Andrew Swift
We revisit the main results from \cites{BGN_SoCG14,BGN_SIAM15} and \cite{LafforgueNaor14_GD} about the impossibility of dimension reduction for doubling subsets of for $q>…
math.OA2020
Asymptotic dimension and coarse embeddings in the quantum setting
Javier Alejandro Chávez-Domínguez, Andrew T. Swift
We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymp…
math.CO2019
Connectivity for quantum graphs
Javier Alejandro Chávez-Domínguez, Andrew T. Swift
In quantum information theory there is a construction for quantum channels, appropriately called a quantum graph, that generalizes the confusability graph construction for classica…