Computer Science Departement
I am interested in the foundational structures of quantum theory and how they can be used in novel ways for advantages in quantum information processing, in particular to quantum simulation. Currently, my main interests are in understanding causality in quantum theory (including indefinite causal order), as well as in developing a paradigm of higher-order quantum computation, the quantum analogue of functional programming. These new tools have applications in fields ranging from quantum algorithms, simulation of physical systems and quantum machine learning, to delegated quantum computation and quantum communication. Since 2025, I am an Assistant Professor in Computer Science and Research Chair of Institut Courtois at Université de Montréal, an associate member of Mila – Québec AI Institute, IVADO researcher, and affiliate member of Perimeter Institute for Theoretical Physics.
I grew up in Akureyri, Iceland, and later in Cambridge, UK. In 2018, I completed my undergraduate and master’s degree in Physics at Imperial College London, UK, and did my master’s thesis at the University of Freiburg, Germany, on a one-year Erasmus exchange program, in the group of Prof Dr Andreas Buchleitner. In 2022, I completed my PhD in Computer Science at the University of Oxford, under the supervision of Prof Giulio Chiribella and Prof Jonathan Barrett, including several months as a visiting PhD student at the University of Hong Kong. In 2021, alongside my PhD, I worked as an independent research consultant in quantum communications for Ofcom, the UK Office for Communications. From 2022-23, I was a postdoctoral researcher at the University of Tokyo, in the group of Prof Mio Murao, and from 2023-24 an independent postdoctoral research fellow in quantum foundations and quantum information at the Perimeter Institute and the Institute for Quantum Computing in Waterloo, ON.
In addition to science, I have also studied courses in violin performance as an Ash Music Scholar at the Royal College of Music, London, UK, in German at Albert-Ludwigs-Universität Freiburg, Germany, in French at Université de Montréal, and in Chinese as a Huayu Scholar at the National Kaohsiung Normal University, Taiwan. As a musician, I have co-composed and released an original album, and performed as a violinist at various venues. In my spare time, I enjoy cooking and mindfulness meditation.
https://diro.umontreal.ca/repertoire-departement/professeurs/professeur/in/in37991/sg/Hl%C3%A9r%20Kristj%C3%A1nsson/