4 papers
Quantum Log-Determinant Methods for Torsion-Sensitive Topological Data Analysis
Dimitrios Thanos, Caesnan Leditto, Adam Wesolowski +2
Betti numbers are central to topological data analysis but fail to capture torsion in integral homology. Torsion can distinguish topological structures with identical Betti numbers…
Quantum Topological Data Encoding
Adam Wesołowski, Dimitrios Thanos, Daniel Leykam +1
Many datasets encountered across a wide range of domains possess rich geometric and topological structure that is difficult to capture using conventional vector-based representatio…
Quantum Algorithms for Magic Square Diophantine Equations
Dimitrios Thanos, Marcello Bonsangue, Alfons Laarman
Magic-square constraints define Diophantine systems whose solutions, in several natural families, exhibit rigid periodic structure. We study this structure in an oracle setting, wh…
GPU-Accelerated Quantum Simulation of Stabilizer Circuits
Muhammad Osama, Dimitrios Thanos, Alfons Laarman
We introduce new parallel algorithms for efficiently simulating stabilizer (Clifford) circuits on GPUs, with a focus on data-parallel tableau evolution and scalable handling of pro…