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Quantum Theory at IMF

Quantum Theory at IMF brings together researchers working at the interface of mathematics, physics, and computer science. Our aim is to advance the mathematical foundations of quantum technologies and to explore their impact on science and society. With expertise ranging from operator algebras and quantum harmonic analysis to combinatorial approaches and higher structures in mathematics, the group serves as a hub for interdisciplinary collaboration in Trondheim’s growing quantum research environment.

Research interest

Our research covers a broad spectrum of themes motivated by quantum information, computation, and physics:

Operator algebras and quantum harmonic analysis: Developing new frameworks to study quantum correlations, entanglement, and signal analysis in noncommutative settings.
Quantum information theory and quantum computing: Investigating the mathematical underpinnings of quantum algorithms, error correction, and resource theories.
Algebraic and combinatorial approaches to quantum theory: Exploring quantum field theory, renormalization, and algebraic structures with applications to physics and number theory.
Higher structures and topological methods: Applying category theory, topology, and higher algebra to fundamental questions in quantum theory and complex systems.
Interdisciplinary applications: Bridging mathematics with physics, engineering, and computer science to address challenges in quantum sensing, quantum machine learning, and beyond.