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Topology and geometry have become increasingly important in fundamental quantum mechanics. In my research, I study properties and phenomena of quantum mechanical systems with topological and geometric origins.

Key phrases:
Holonomy and geometric phases
Quantum speed limits and uncertainty principles
SICs and MUBs
Self-testing quantum systems

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• Mathematics for Engineers I, II
• Mathematics and Mathematics Teaching I
  Module 3: Mathematical relationships and change in one variable
• Mathematics and Mathematics Teaching III
  Module 4: Discrete Mathematics and Algebraic Structures
• Mathematics and Mathematics Teaching V
  Module 2: Independent project
• Linear Algebra II
• Supervises Master's degree projects

• O. Sönnerborn, The isoholonomic inequality and tight implementations of holonomic quantum gates (2024),
• O. Sönnerborn, Parallel transport in rotating frames and projective holonomic quantum computation (2024), 
• O. Sönnerborn, Estimate of the time required to perform a nonadiabatic holonomic quantum computation, Phys. Rev. A 109, 062433 (2024),
• N. Hörnedal and O. Sönnerborn, Tight lower bounds on the time it takes to generate a geometric phase, Phys. Scr. 98, 105108 (2023), 
• N. Hörnedal and O. Sönnerborn, Closed systems refuting quantum-speed-limit hypotheses, Phys. Rev. A 108, 052421 (2023),
• N.Hörnedal and O.Sönnerborn, Margolus-Levitin quantum speed limit for an arbitrary fidelity, Phys. Rev. Res. 5, 043234 (2023), 
• N. Hörnedal, D. Allan, and O.Sönnerborn, Extensions of the Mandelstam-Tamm quantum speed limit to systems in mixed states, New J. Phys. 24, 055004 (2022),
• D. Allan, N. Hörnedal, and O. Andersson, Time-optimal quantum transformations with bounded bandwidth, Quantum 5, 462 (2021),
• O. Andersson and I. Dumitru, Aligned SICs and embedded tight frames in even dimensions, J. Phys. A: Math. Theor. 52, 425302 (2019),
• O. Andersson, P. BadziÄ…g, I. Dumitru, and A. Cabello, Device-independent certification of two bits of randomness from one entangled bit and Gisin's elegant Bell inequality, Phys. Rev. A 97, 012314 (2018),
• O. Andersson, P. BadziÄ…g, I. Bengtsson, I. Dumitru, and A. Cabello, Self-testing properties of Gisin's elegant Bell inequality, Phys. Rev. A 96, 032119 (2017),