Research
Geometry as a resource for quantum information
I develop geometric and computational frameworks for quantum error correction and fault-tolerant quantum computation, and connect them to experimentally realizable quantum systems.
Theory + computation
Hyperbolic quantum error correction
Hyperbolic lattices offer a route to quantum codes with unusual geometric and information-theoretic properties. My work builds systematic methods for constructing topological CSS and Floquet codes on periodic hyperbolic lattices, identifying logical operators, and benchmarking logical performance under realistic noise.
Fault tolerance
Hyperbolic cluster states for MBQC
I study measurement-based quantum-computing architectures in which hyperbolic geometry shapes the resource state, logical encoding, and decoding problem. The goal is to identify scalable routes to fault-tolerant computation while making efficient use of physical qubits and measurements.
Experiment
Quantum simulation in curved geometries
In collaboration with researchers at the Institute for Quantum Computing and Julius-Maximilians-Universität Würzburg, I investigate superconducting and topoelectric circuit platforms for emulating quantum physics in hyperbolic and other non-Euclidean spaces.
Open research software
HQECC-Threshold
An open-source Python implementation for generating periodic hyperbolic lattices and quantum circuits, identifying logical operators, and estimating logical error rates using minimum-weight perfect matching and parallel Monte Carlo simulation.
Collaboration
Bridging mathematical structure and physical implementation
My research is based at the University of Saskatchewan’s Centre for Quantum Topology and Its Applications (quanTA), with collaborations and research visits at the Institute for Quantum Computing, University of Waterloo, and Julius-Maximilians-Universität Würzburg.
