3 papers
quant-ph2026
Quantum encodings that preserve persistent homology
Arthur J. Parzygnat, Andrew Vlasic
Given a data set with a notion of distance, such as a point cloud in Euclidean space, topological data analysis (TDA) uses techniques from algebraic topology and metric geometry to…
quant-ph2026
Geodesics of Quantum Feature Maps on the Space of Quantum Operators
Andrew Vlasic
Recent advancements in the discipline of quantum algorithms have displayed the importance of the geometry of quantum operators. Given this thrust, this paper develops a rigorous ge…
quant-ph2024
QuOp: A Quantum Operator Representation for Nodes
Andrew Vlasic, Salvador Aguinaga
We derive an intuitive and novel method to represent nodes in a graph with special unitary operators, or quantum operators, which does not require parameter training and is competi…