2 citations · 2 across the 3 of their papers we have counts for
7 papers
Quantum Complexity of Solving Linear Equations on Higher-Order Networks
Caesnan M. G. Leditto
Higher-order networks (HONs) represent interactions among groups of objects, supporting the study of collective behaviour that pairwise models can miss. In simplicial models of the…
From Heat to Homology: Spectral Gap Transfer for Exact Quantum Gibbs Sampling at All Temperatures
Caesnan M. G. Leditto, Kuo-Chin Chen, Min-Hsiu Hsieh
Preparing Gibbs states through dissipative dynamics requires controlling convergence for the chosen Hamiltonian and coupling operators. However, efficient implementation requir…
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…
Double Localization for Quantum Gibbs Sampler Gaps: From an Abstract Framework to Finite-Group Models
Ryu Hayakawa, Angus Southwell, Caesnan M. G. Leditto +2
We introduce double localization, a framework for proving spectral gaps of quantum Gibbs samplers through two complementary operations: geometric localization, which selects update…
Efficient Quantum Algorithms for Higher-Order Coupled Oscillators
Caesnan M. G. Leditto, Angus Southwell, Muhammad Usman +1
Higher-order networks with multiway interactions can exhibit collective dynamical phenomena that are absent in traditional pairwise network models. However, analyzing such dynamics…
Quantum HodgeRank: Topology-Based Rank Aggregation on Quantum Computers
Caesnan M. G. Leditto, Angus Southwell, Behnam Tonekaboni +2
HodgeRank generalizes ranking algorithms, e.g. Google PageRank, to rank alternatives based on real-world (often incomplete) data using graphs and discrete exterior calculus. It ana…
Topological Signal Processing on Quantum Computers for Higher-Order Network Analysis
Caesnan M. G. Leditto, Angus Southwell, Behnam Tonekaboni +3
Predicting and analyzing global behaviour of complex systems is challenging due to the intricate nature of their component interactions. Recent work has started modelling complex s…