10 citations · 31 across the 12 of their papers we have counts for
13 papers
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…
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…
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…
Detrimental non-Markovian errors for surface code memory
John F Kam, Spiro Gicev, Kavan Modi +2
The realization of fault-tolerant quantum computers hinges on effective quantum error correction protocols, whose performance significantly relies on the nature of the underlying n…
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…
Adversarial Robustness Guarantees for Quantum Classifiers
Neil Dowling, Maxwell T. West, Angus Southwell +4
Despite their ever more widespread deployment throughout society, machine learning algorithms remain critically vulnerable to being spoofed by subtle adversarial tampering with the…
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…
Sprinkling with random regular graphs
Mikhail Isaev, Brendan D. McKay, Angus Southwell +1
We conjecture that the distribution of the edge-disjoint union of two random regular graphs on the same vertex set is asymptotically equivalent to a random regular graph of the com…
Large induced subgraphs of random graphs with given degree sequences
Angus Southwell, Nicholas Wormald
We study a random graph with given degree sequence , with the aim of characterising the degree sequence of the subgraph induced on a given set of vertices.…
The threshold of symmetry in random graphs with specified degree sequences
Lochlan Brick, Pu Gao, Angus Southwell
We give sufficient conditions under which a random graph with a specified degree sequence is symmetric or asymmetric. In the case of bounded degree sequences, our characterisation…
Distribution of tree parameters by martingale approach
Mikhail Isaev, Angus Southwell, Maksim Zhukovskii
For a uniform random labelled tree, we find the limiting distribution of tree parameters which are stable (in some sense) with respect to local perturbations of the tree structure.…
Counting triangles in power-law uniform random graphs
Pu Gao, Remco van der Hofstad, Angus Southwell +1
We count the asymptotic number of triangles in uniform random graphs where the degree distribution follows a power law with degree exponent . We also analyze the local c…