Hlér Kristjánsson

Hlér Kristjánsson

Institut Courtois Research Chair @ Université de Montréal

About

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. Currently, my main interests are in developing a paradigm of higher-order quantum computation, the quantum analogue of functional programming, as well as in understanding causality in quantum theory. These new tools have applications in fields ranging from quantum algorithms, simulation of physical systems and quantum machine learning to blind quantum computation and quantum communication. Alongside academic research, I have also worked as a research consultant for Ofcom, the UK Office for Communications, leading a research team commissioned to write a report on quantum communications and its future impact on the communications sector: now available at https://www.ofcom.org.uk/research-and-data/technology/general/quantum-communications?SQ_VARIATION_222594=0

Country

Canada

City

Montreal

Industry

Research

Skill

Python, Matlab, LaTeX, Mathematical Modeling, Physics, Research

Experience

Université de Montréal

Institut Courtois Research Chair

Université de Montréal

LinkedIn
2025-6 - Present · 1 yr 4 mos

Montreal, Quebec, Canada

Research Chair of Institut Courtois, a newly established institute at Université de Montréal focusing on blue sky research at the intersection of materials science, AI and quantum computing.

Université de Montréal

Assistant Professor

Université de Montréal

LinkedIn
2025-1 - Present · 1 yr 9 mos

Montreal, Quebec, Canada

Assistant Professor and Group Leader @Université de Montréal and @Mila - Québec AI Institute

Mila - Quebec Artificial Intelligence Institute

Associate Academic Member

Mila - Quebec Artificial Intelligence Institute

LinkedIn
2025-1 - Present · 1 yr 9 mos

Montreal, Quebec, Canada

Associate Academic Member of Mila as Assistant Professor and Group Leader @Université de Montréal

Perimeter Institute

Postdoctoral Research Fellow

Perimeter Institute

LinkedIn
2023-4 - 2024-9 · 1 yr 6 mos

Waterloo, Ontario, Canada

Working as an independent postdoctoral research fellow in quantum information and quantum foundations (75%), with a joint appointment at the Institute for Quantum Computing, University of Waterloo (25%).

Institute for Quantum Computing

Postdoctoral Research Fellow

Institute for Quantum Computing

LinkedIn
2023-4 - 2024-9 · 1 yr 6 mos

Waterloo, Ontario, Canada

Independent joint postdoctoral research fellow at the Perimeter Institute (75%) and the Institute for Quantum Computing (25%).

The University of Tokyo

Postdoctoral Researcher

The University of Tokyo

LinkedIn
2022-8 - 2023-2 · 7 mos

Tokyo, Japan

Worked in the group of Prof Mio Murao in collaboration with IBM on developing higher-order algorithms for quantum computing, the quantum analogue of functional programming.

University of Oxford

Doctoral Researcher

University of Oxford

LinkedIn
2018-10 - 2022-7 · 3 yrs 10 mos

Oxford, England, United Kingdom

Doctoral Researcher in the Quantum Group, Department of Computer Science, University of Oxford. Part of the HKU-Oxford Joint Laboratory for Quantum Information and Computation, led by Prof Giulio Chiribella (Hong Kong) and Prof Jonathan Barrett (Oxford). Worked on quantum information theory, foundations and communication. Specifically, developed new research directions on coherent control of quantum channels, indefinite causal order and routed quantum circuits.

University of Oxford

Class Tutor

University of Oxford

LinkedIn
2019-10 - 2019-12 · 3 mos

Oxford, United Kingdom

Class tutor and marker for the Quantum Computer Science MSc lecture course in the Department of Computer Science, University of Oxford. Lecturer: Prof Bob Coecke.

University of Oxford

Class Tutor

University of Oxford

LinkedIn
2019-1 - 2019-3 · 3 mos

Oxford, United Kingdom

Class tutor and marker for the Quantum Information undergraduate lecture course in the Department of Computer Science, University of Oxford. Lecturers: Prof Giulio Chiribella and Prof Jonathan Barrett.

Ofcom

Consultant for Quantum Communications

Ofcom

LinkedIn
2020-12 - 2021-7 · 8 mos

London, England, Vereinigtes Königreich

Founded and led a 3-person team to write a 100-page report on the possibilities and limitations of quantum communications and its potential impact on the communication sector. Gave presentations to both technical and non-technical audiences at Ofcom on the findings of the report. Part-time work completed alongside my PhD.

London Institute for Mathematical Sciences

Undergraduate Research Fellow in Quantum Information Theory

London Institute for Mathematical Sciences

LinkedIn
2016-6 - 2016-9 · 4 mos

London, United Kingdom

Worked on the theoretical foundations of a quantum generalisation of feedforward neural networks. Supervised by Dr Oscar Dahlsten (Oxford) and Prof Myungshik Kim (Imperial). The paper published as a result of this research internship has now received over 200 citations.

Self-employed

Private English Tutor

Self-employed

2015-7 - 2015-9 · 3 mos

Kaohsiung City, Taiwan

Taught elementary English to a 7-year-old native Chinese speaker.

Self-employed

Private Violin Tutor

Self-employed

2013-10 - 2014-6 · 9 mos

Cambridge, United Kingdom

Worked as a violin tutor for two pupils aged 10 and 13.

Education

University of Oxford

University of Oxford

LinkedIn

Computer Science (Quantum Computing)

2018-10 - 2022-7 · 3 yrs 10 mos

DPhil in Computer Science under the supervision of Prof Giulio Chiribella and Prof Jonathan Barrett, working in quantum information theory, foundations, and communication. Thesis title: A second-quantised Shannon theory.

The University of Hong Kong

The University of Hong Kong

LinkedIn

Computer Science (Quantum Computing)

2019-3 - 2019-5 · 3 mos

Spent 3 months of my PhD as a visiting student at the University of Hong Kong, working with my supervisor Prof Giulio Chiribella and his group in Hong Kong.

The University of Freiburg

The University of Freiburg

LinkedIn

Physics, German language

2016 - 2017 · 1 yr

Spent the 3rd year of my MSci physics degree on an Erasmus exchange in Freiburg, Germany. MSci thesis in theoretical quantum physics completed under the supervision of Prof Dr Andreas Buchleitner. Thesis title: Efficient quantum transport in disordered networks with vibrations. Additionally, attended a 1-month intensive summer course in German language, at B2 level, followed by a semester-long weekly course, reaching C1 level by the end of the year.

National Kaohsiung Normal University

National Kaohsiung Normal University

LinkedIn

Chinese language (summer course)

2015-7 - 2015-9 · 3 mos

Studied Chinese language as a Huayu Enrichment Scholar, focusing on developing proficiency in written Chinese.

Imperial College London

Imperial College London

LinkedIn

Physics

2014 - 2018 · 4 yrs

MSci Physics with a Year in Europe. 4-year Master's degree, incorporating Bachelor's level study. Specialised courses: Foundations of Quantum Mechanics, Quantum Information, Quantum Optics, Quantum Field Theory, Unification: the Standard Model, Advanced Particle Physics, General Relativity, Information Theory, Complexity and Networks. Included classes in German language and scientific German.

Royal College of Music

Royal College of Music

LinkedIn

Violin performance (non-degree course)

2014-10 - 2015-1 · 4 mos

Studied violin performance (non-degree course) as an Ash Music Scholar alongside an undergraduate degree in physics at Imperial College London.

Hlér Kristjánsson's Contact Information

Email

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Phone

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