Jon Yard

Teaching Affiliations
If you are interested in pursuing a MSc degree, please apply to the Perimeter Scholars International (PSI) masters program. Perimeter Institute is committed to diversity within its community and I welcome applications from underrepresented groups.
Research Interests
My research focuses on mathematical aspects of quantum information and computation. I use information theory, number theory and geometry to study optimal and explicit codes and protocols for computing and for manipulating quantum information. Specific research interests include quantum Shannon theory, topological quantum computing, quantum field theory and the arithmetic of quantum circuits.
Positions Held
- Associate Professor, Institute for Quantum Computing, University of Waterloo, 2016-present
- Postdoctoral Researcher, Station Q / QuArC, Microsoft Research, 2012-2016
- Richard P. Feynman Postdoctoral Fellow, Los Alamos National Laboratory, 2007-2012
- Postdoctoral Scholar in Physics, Institute for Quantum Information, Caltech, 2005-2007
- Academic Casual Researcher, Department of Computer Science, University of Montreal, 2005
Awards
- Co-Principal Investigator, "Foundations of Quantum Computational Advantage (FoQaCiA)", Natural Sciences and Engineering Research Council of Canada (NSERC), 2022
- Discovery Grant, Natural Sciences and Engineering Research Council of Canada (NSERC), 2018-2024
Recent Publications
- Ruskai, M. B., & Yard, J. (2023). Local additivity revisited. Journal of Mathematical Physics, 64(3). doi:10.1063/5.0079780
- Yard, J. (2023). QP.jl [Computer Software]. https://github.com/jtyard/QP.jl
- Appleby, M., Flammia, S., McConnell, G., & Yard, J. (n.d.). Generating ray class fields of real quadratic fields via complex equiangular lines. Acta Arithmetica, 192(3), 211-233. doi:10.4064/aa180508-21-6
Seminars
- Norms, complexity and SIC-POVMs, 2023/05/01
- The arithmetic of quantum circuits and SIC-POVMs, FoQaCiA kickoff meeting, International Iberian Nanotechnology Laboratory, Braga, Portugal, 2022/11/01
- Algebraic formulations of Zauner's conjecture, Combinatorics and Optimization Tutte Colloquium, University of Waterloo, ON, 2021/01/01
- Tight 2-designs in projective spaces, Open Problems in Algebraic Combinatorics, University of Waterloo, ON, 2021/01/01