6 papers
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…
Spatiotemporal Pauli processes: Quantum combs for modeling correlated noise in quantum error correction
John F Kam, Angus Southwell, Spiro Gicev +2
Correlated noise is a critical failure mode in quantum error correction (QEC), yet a gap remains between the stochastic Pauli models used for scalable QEC analyses and the microsco…
Crosstalk Attacks and Defence in a Shared Quantum Computing Environment
Benjamin Harper, Behnam Tonekaboni, Bahar Goldozian +2
Quantum computing has the potential to provide solutions to problems that are intractable on classical computers, but the accuracy of the current generation of quantum computers su…
A graph-theoretic approach to chaos and complexity in quantum systems
Maxwell West, Neil Dowling, Angus Southwell +4
There has recently been considerable interest in studying quantum systems via dynamical Lie algebras (DLAs) -- Lie algebras generated by the terms which appear in the Hamiltonian o…
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…