3 papers
quant-ph2026
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…
quant-ph2024
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…
quant-ph2024
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…