Pierre-Antoine Bernard is a postdoctoral fellow in the Department of Physics, working with the Nathan Wiebe group. Bernard received his PhD in physics at the Université de Montréal and joined the University of Toronto in the fall of 2025.
What area of quantum information science do you research in?
I am now primarily interested in quantum algorithms and the mathematical structures that underlie them. In particular, I am fascinated by how mathematical frameworks can both explain the performance of existing algorithms and inspire the design of new, efficient methods for quantum computation. Some of my current work uses orthogonal polynomials and scattering theory to analyse and develop algorithms for implementing spectral transformations of unitary operators. It builds on tools very similar to those I used during my PhD to study exactly solvable quantum many-body systems.
What most attracts you to this field?
This field strikes a balance between the abstract and beautiful ideas of mathematics and more concrete considerations, as we ultimately seek practical and impactful applications. I am particularly drawn to the rich mathematical structures underlying quantum theory.
In your opinion, what are the most exciting applications that could come out of your area of research?
My work notably focuses on the development of efficient algorithms for simulating quantum systems, with the potential to improve these simulations for specific classes of systems. This is an important objective, as such simulations could play a significant role in applications such as drug discovery and materials design.
Why is it important to support, develop and fund quantum research right now?
One important reason to support quantum research is that it acts as a catalyst for innovation across many areas of science and technology. Given the potential of quantum computation and the rapid maturation of the underlying hardware, it is expected that quantum devices may reach a level of practical utility within the next decade. This prospect opens the door to a wide range of applications. Supporting quantum research not only accelerates technological development but also builds the necessary expertise to understand where and how these technologies can most effectively drive innovation.
What is the accomplishment that you’re most proud in your research?
I am very proud of the diversity of research areas to which I have contributed, including quantum computing, quantum many-body systems, and algebraic combinatorics. My work has helped strengthen the connections between these disciplines and foster meaningful cross-fertilization of ideas.
Were you always drawn to science and mathematics, or did you imagine a different path for yourself growing up? What profession did you originally envision, and when did your interests shift toward quantum research?
For a few years during my teens, I was very interested in becoming a magician. I even took part in competitions for a while. Over time, however, I realized I was more drawn to understanding the mechanics behind the illusions than performing them, and my interests gradually shifted toward science. Quantum physics seemed to me to be the part of science with the most intriguing and fascinating mysteries.
Some of Pierre-Antoine's recent publications:
Analytical Angle-Finding and Series Expansions for Quantum Signal Processing via Orthogonal Polynomial Theory
Entanglement Hamiltonian and orthogonal polynomials